Lester Ingber, Ph.D. (Theoretical Physics)
physicist with interdisciplinary expertise and interests importance-sampling
life
[Lester Ingber] https://www.ingber.com/ [QR]
[Physical Studies Institute LLC] https://www.PhysicalStudiesInstitute.org
[Caltech Alumnus] http://alumni.caltech.edu/~ingber
General Information
E-mail queries may be addressed to
lester@ingber.com
ingber@caa.caltech.edu
ingber@PhysicalStudiesInstitute.org
My Primary 3rd Party Media
[LinkedIn] https://www.linkedin.com/in/ingber
[Facebook] https://www.facebook.com/ingber.lester
[Twitter] https://twitter.com/ingber
[Twitter] https://orcid.org/0000-0003-1502-3910
Search ingber.com at
ingber_search.html .
SSL access, the enforced default, is through
https://www.ingber.com .
This archive is a sampling of my 100+ publications. Limited help
assisting people with queries on my codes and papers is available only
by electronic mail correspondence. Sorry, but given that this site has
1000's hits/day, I cannot mail out hardcopies of code or papers.
[PSI] Physical Studies Institute LLC (PSI) , CEO Lester Ingber,
develops and consults on projects in several areas of expertise
documented in the ingber.com InterNet archive. Terms of use,
downloading policies, and consulting/contracting are discussed in
ingber_terms.txt .
Donations to support PSI research, and pre-arranged payments for
services, can be made online:
via PayPal (here you also can use a credit card without a PayPal
account) at
PayPal-PSI
or via Patreon at
patreon.com/lesteringber
Note that I regularly address short technical queries via email, at no
charge.
Some recent projects are discussed in
psi_computational_physics_group.html .
Physical Studies Institute (PSI) was a 501(c)(3) nonprofit scientific
and educational California corporation I founded in 1970 and kept in
operation through 1991.
From 1980-1986, PSI was an independent agency account of the Institute
for Pure and Applied Physical Sciences (IPAPS) at UC San Diego. From
1970-1978 I personally funded and administrated the Institute for Study
of Attention (ISA) High School, a subsidiary of PSI, developing and
publishing an educational methodology emphasizing restructuring of
standard text material to enhance personal learning strengths. We
offered over 30 courses in academics, fine arts and physical
disciplines (Karate and T'ai Chi).
Through PSI, from 1981-1986 I helped administrate another subsidiary,
Conservatory of Ballet Arts Company (CBAC), consisting of over 100
students, and an active dancing group of about 30. CBAC was founded by
my wife, Louise Ingber, an accomplished Ballet dancer. Since 2005, she
has since founded Creek House Patisserie LLC (CHP) which offers online
Creek House Chocolates; see
CreekHouseChocolates.com/about
In February 2020, I created the Oregon LLC "Physical Studies Institute
LLC"; at the same time I also created the DBA/ABN "Physical Studies
Institute" to this LLC.
__________________________________________________________________
Categories of research files in this / directory are
* AUTHOR Information on Lester Ingber
* KARATE The Art and Science of Karate, Applications to Learning
* ASA Adaptive Simulated Annealing, Optimization, Importance
Sampling, Nonlinear Systems, Stochastic Systems: ASA-CODE,
ASA-REPRINTS
* COMBAT Statistical Mechanical Analyses of Combat and Simulations
* MARKETS Statistical Mechanical Analyses of Financial Markets, Bond
Futures, Options, Risk, Portfolios, Trading: TRD-CODE
* NUCLEAR Nucleons, Nuclear Matter, Riemannian Interactions
* PATH-INTEGRAL Path Integrals in Stochastic Systems with Nonlinear
Diffusion: PATHINT-CODE, PATHTREE-CODE
* NEOCORTEX Statistical Mechanics of Neocortical Interactions,
Applications to Memory, EEG, Intelligent Systems: SMNI-CODE
__________________________________________________________________
Additional Files and Information
See utils_file_formats.txt for some links to information on gzip,
PostScript, PDF, tar, and shar utilities. See utils_code.txt for
additional references to files and instructions for retrieval of
utilities for DOS, MAC, UNIX, and VMS systems, e.g., ghostscript, gzip,
pgp (containing my PGP PUBLIC KEY BLOCK), unshar, uudecode, unix2dos,
zip, etc. Note that gzip will expand .gz, .Z, and .zip files (not .zip
archives).
private/
private/ is a "blind" directory which cannot be viewed using
`ls` or `dir`, although files can be downloaded via WWW if you
know their names.
louise/
This directory belongs to my spouse Louise. Her main site is
CreekHouseChocolates.com
This is a UNIX system, and all file names are case sensitive. Files
that end in .gz (gzip), .zip (zip), or .exe (DOS) are in binary format.
Therefore, before retrieving these files, be sure your browser is set
to handle binary transfer.
Note that files that contain a .ps are PostScript files (after
expanding as appropriate, which can result in an expansion by a factor
of 10 for some files); these will require a PostScript viewer or
printer. Portable Document Format files have a .pdf suffix and can be
viewed with Adobe acroread or some PostScript viewers.
Unmanaged VPS
ingber.com is run on an unmanaged linux virtual private server
(VPS) machine. Lester Ingber is responsible for all software
maintenance. This machine is monitored externally, and in case
of a crash, full service should be restored quickly, i.e., less
than an hour.
__________________________________________________________________
AUTHOR
[LesterCIT62] [Sigma Pi Sigma] [Sigma Xi]
Lester Ingber's Curriculum Vitae
ingber_CV.pdf
ingber_CV.ps.gz
ingber_CV.txt
1-page summary of Lester Ingber's Curriculum Vitae
ingber_summary_1.pdf
ingber_summary_1.txt
Brief 3-page CV
https://www.ingber.com/ingber_CV_brief.pdf
Projects and interests are described in
ingber_projects_brief.pdf
Additional information related to some projects is in
ingber_projects.txt
In this archive I have listed only papers accessible on the internet.
All my references are given in bibtex and refer format for over
100 papers and books in
ingber.bib.html (html-bibtex format)
ingber.ref.html (html-refer format)
ingber.bib (bibtex format)
ingber.end (endnote format)
ingber.ref (refer format)
ingber.ris (refman format)
ingber.xml (xml format)
[XSEDE] From Feb 2013 I have been Principal Investigator for the
National Science Foundation resource The Extreme Science and
Engineering Discovery Environment, XSEDE.org . I have used their
supercomputer resources to develop projects in computational
physics and neuroscience, as discussed in
psi_computational_physics_group.html
[BTHS Alumni] I'm an alumnus of Brooklyn Technical High School (BTHS)
class of 1958.
[Caltech Alumni] I'm an alumnus of California Institute of Technology
(Caltech) class of 1962 (Physics).
ingber82_LegendsOfCaltech.pdf reports another "incident"
%A L. Ingber
%T The OXY cornerstone
%B Legends of Caltech
%E W.A. Dodge, Jr.
%E R.B. Moulton
%E H.W. Sigworth
%E A.C. Smith, Jr.
%I Alumni Association, California Institute of Technology
%C Pasadena, CA
%D 1982
%P 28
%O ISBN 0-215-12345-X. URL
https://www.ingber.com/ingber82_LegendsOfCaltech.pdf
ingber12_EandS.pdf classmate reports Les(ter) in Chem Lab
%A Anonymous
%T Endnotes
%J (Caltech) Engineering and Science
%V 75
%D 2012
%P 44
%O URL https://www.ingber.com/ingber12_EandS.pdf
[UCSD Alumni] I'm an alumnus of UC San Diego (UCSD) Graduate School
class of 1967 (Theoretical Nuclear Physics).
[UCB Alumni] I'm an alumnus of UC Berkeley (UCB), National Science
Foundation (NSF) Physics Postdoctoral Fellow 1967-1968
(transferred second year to UC Los Angeles (UCLA)).
__________________________________________________________________
KARATE
[Lester Ingber] Lester Ingber, 8th Dan
[JKA] I'm an alumnus of Japan Karate Association (JKA)/All American
Karate Federation (AAKF) Instructor/Sensei School class of 1968
(the first JKA-AAKF class).
[Lester Ingber Black Belt]
karate.txt
This file is a collection of notes and edited replies to some
postings and e-mail on karate.
karate.txt is an ASCII-formatted version of this file.
Hulk_letter_1970.jpg
Lester Ingber letter to Marvel Comics re Hulk violation of
physics
Stony Brook, NY
circa 1970
[Lester Ingber 1972] karate72_encinitas.jpg
Lester Ingber photo
Encinitas, CA
30 Mar 1972
karate72_learning.pdf
%A L. Ingber
%T Editorial: Learning to learn
%J Explore
%V 7
%P 5-8
%D 1972
%O URL https://www.ingber.com/karate72_learning.pdf
Links smni72_learning.pdf with karate72_learning.pdf.
This set of courses includes my course using physics and
attentional approaches to karate which was taught in my dogos,
as well as in this UCSD course, since 1968. My 1976 book just
below includes my 1968 "Physics of Karate Techniques"
Instructor's thesis for my JKA/AAKF Instructor's degree, as well
as my techniques developed to promote the learning of
attentional skills in parallel with this physics approach to the
learning of traditional physical skills.
karate76_book.html
%A L. Ingber
%T The Karate Instructor's Handbook
%I Physical Studies Institute-Institute for the Study of
Attention
%C Solana Beach, CA
%D 1976
%O OCR-scanned with figures. URL
https://www.ingber.com/karate76_book.html
karate76_book.txt is an ASCII-formatted version of this file
without .jpg figures.
karate76_cover.gif is a .gif rendering of the cover.
karate76_cover_back.gif is a .gif rendering of the back cover.
A few of my own books in new condition are on EBay under seller
ingber00: The Karate Instructor's Handbook by Lester Ingber, PhD
The 134 combinations and 16 two-person combinations in Appendix
4 are representative of over 5000 combinations I created and
taught from about 1969-1985. Unfortunately, the collection was
lost in one of several moves, along with many other documents.
This includes the loss of multiple manuscripts, e.g., Principles
of Nature, described in the Epilogue to this text, which ran
quite a few hundred pages in length. On 5 Nov 2008 I added the
Epilogue which I scanned from one of the few remaining texts in
my possession.
karate81_book.txt
%A L. Ingber
%T Karate: Kinematics and Dynamics
%I Unique
%C Hollywood, CA
%D 1981
%O ISBN 0-86568-025-6. OCR-scanned text-only version of this
book. URL https://www.ingber.com/karate81_book.txt
karate81_cover.gif is a .gif rendering of the cover.
A few of my own books in new condition are on EBay under seller
ingber00: Karate Kinematics and Dynamics by Lester Ingber
karate81_attention.pdf
%A L. Ingber
%T Attention, physics and teaching
%J Journal Social Biological Structures
%V 4
%P 225-235
%D 1981
%O URL https://www.ingber.com/smni81_attention.pdf
(This file may only be shared for research.)
This paper describes a methodology and implementation of
teaching a full curriculum of academics, fine arts and physical
disciplines, also tested as described in smni72_learning.pdf,
based in part on a similar methodology I developed for teaching
karate, in turn based on my brain research.
Links smni81_attention.pdf with karate81_attention.pdf
1982 Training Videos
Below are VHS converted tapes of a karate camp with five 1st Dan
Black Belt students in the Summer of 1982, emphasizing sparring
exercises which were eventually published in Elements of
Advanced Karate, karate85_book.html below. To make these files
reasonable size they were converted to 320x240. (The files still
are quite large at about 200MB each.) The sound is quite a bit
out of sync with the video a lot of the time due to the device
used to capture the VHS recording. The sequence of files below
follows the order of training sessions, each about 1.5 hours, in
this special camp.
As in any person-person combat, important intense events can
take place within what often superficially appears to a
non-interacting observer as a flow of somewhat ordinary
movement. It takes some patience to view several hours of actual
classes to see and appreciate crucial moments in these exercises
that reflect the gradual influence of advanced training.
These videos may be accessed as full training sessions from my
Google Docs archive
https://l.ingber.com/exam82
https://l.ingber.com/Earth82
https://l.ingber.com/Wind82
https://l.ingber.com/Fire82
https://l.ingber.com/Water82
https://l.ingber.com/Void82
These videos can be downloaded from my Google Sites account
http://lester-x.ingber.com
These videos also can be viewed on my youtube account, where
they have been cut into playable parts less than 14 minutes
each.
https://www.youtube.com/ingber
karate85_book.html
%A L. Ingber
%T Elements of Advanced Karate
%I Ohara
%C Burbank, CA
%D 1985
%O ISBN 0-89750-127-6. OCR scanned with photos. URL
https://www.ingber.com/karate85_book.html
Note the video files above that recorded development of these
exercises in 1982.
karate85_book.txt is an ASCII-formatted version of this file
without .jpg photos.
karate85_cover.pdf and karate85_cover.ps.gz is a PDF or
PostScript rendering of the photo on the cover;
karate85_cover.gif is a .gif rendering of karate85_cover.ps.
karate85_cover.txt is a coarse ASCII rendering of
karate85_cover.ps.
karate85_photo.jpg is a jpeg (.jpg) rendering of a photo taken
at the same time as karate85_cover.ps.
A few of my own books in new condition are on EBay under seller
ingber00: Elements of Advanced Karate by Lester Ingber
karate00_keri_no_kata.html
%A L. Ingber
%T Keri No Kata
%J Shotokan Research Society International (SRSI)
%V 1
%N 4
%D 2000
%O URL https://www.ingber.com/karate00_keri_no_kata.html
Keri No Kata is a kicking form, containing many different
kicking and other leg techniques in a context of full sparring
interactions.
photos.
__________________________________________________________________
ASA
[ASA]
ASA-CODE
Help With Adaptive Simulated Annealing (ASA) Optimization
Optimization is often required for many systems, ranging from simple to
complex descriptions., e.g., to fit models to data. A general class of
optimization algorithms is included under the heading of importance
sampling. A subset of this class is simulated annealing which, if
applied correctly, comes with a mathematical proof that optimal
solutions will be found with some statistical certainty.
Please read the ASA-README.[] file which is provided with the code and
separately online in pdf, gzip'd ps, txt, and html formats. Especially
pay attention to Sections "Use of Documentation for Tuning" and
"Simulated Annealing is NOT Simulated Quenching"
The learning curve for proper use of ASA -- and other general
importance-sampling that are useful for many classes of systems -- is
quite steep, and you may require some help getting started. I can
consult/contract with you to get started or even work with you towards
completion of your optimization/importance-sampling project. See
ingber_terms.txt for more information on this choice.
A short one-minute video describes the origins of ASA. Download
ASA.wmv
or view on YouTube at
https://l.ingber.com/ASA14
Adaptive Simulated Annealing (ASA)
%A L. Ingber
%T Adaptive Simulated Annealing (ASA)
%R Global optimization C-code
%I Caltech Alumni Association
%C Pasadena, CA
%D 1993
%O URL https://www.ingber.com/#ASA-CODE
ASA code is listed on
[SourceForge.net] https://sourceforge.net/projects/asa-caltech/
[code.google.com]
https://code.google.com/p/adaptive-simulated-annealing
[github.com]
https://github.com/ingber/adaptive-simulated-annealing
ASA-README.html
HTML version of the ASA-README file included with the current
ASA-30.38 code. Cross-references are local to this file, so you
may view it under a local browser.
ASA-README.pdf and ASA-README.ps.gz
PDF ASA-README.pdf and gzip-compressed PostScript ASA-README.ps
files included with the current ASA-30.38 code.
ASA-README.txt
ASCII ASA-README file included with the current ASA-30.38 code.
ASA.tar.gz
gzip tarfile of the current ASA-30.38 code. All files expand
into directory ASA.
ASA.zip
zip file of the current ASA-30.38 code. All files are processed
for DOS format. All files expand into directory ASA.
asa_new.txt
List of major recent changes in ASA.
asa_papers.txt
Addendum to the NOTES file in the ASA code, listing some patents
and papers that have used ASA or its precursor VFSR.
asa_retrieve.txt
This contains instructions for retrieval of the ASA code.
asa_contrib.txt
This is an addendum to the NOTES file in the ASA code, giving
some code contributed by users that may be useful to others. I
have included my first Very Fast Simulated Re-annealing (VFSR)
code prepared in 1987, RATFOR vfsr.r and vfsr_com.r code
(unsupported), subsequently compiled into FORTRAN to run on a
Lawrence Livermore supercomputer.
asa_examples.txt
This is an addendum to the NOTES file in the ASA code, giving
some examples of use of the ASA code.
ASA-REPRINTS
asa89_vfsr.pdf and asa89_vfsr.ps.gz
%A L. Ingber
%T Very fast simulated re-annealing
%J Mathematical Computer Modelling
%V 12
%N 8
%P 967-973
%D 1989
%O URL https://www.ingber.com/asa89_vfsr.pdf
asa92_mnn.pdf and asa92_mnn.ps.gz
%A L. Ingber
%T Generic mesoscopic neural networks based on statistical
mechanics of neocortical interactions
%J Physical Review A
%V 45
%N 4
%P R2183-R2186
%D 1992
%O URL https://www.ingber.com/smni92_mnn.pdf
Links smni92_mnn.pdf and smni92_mnn.ps.gz with asa92_mnn.pdf and
asa92_mnn.ps.gz
asa92_saga.pdf and asa92_saga.ps.gz
%A L. Ingber
%A B. Rosen
%T Genetic algorithms and very fast simulated reannealing: A
comparison
%J Mathematical Computer Modelling
%V 16
%N 11
%P 87-100
%D 1992
%O URL https://www.ingber.com/asa92_saga.pdf
asa93_sapvt.pdf and asa93_sapvt.ps.gz
%A L. Ingber
%T Simulated annealing: Practice versus theory
%J Mathematical Computer Modelling
%V 18
%N 11
%D 1993
%P 29-57
%O URL https://www.ingber.com/asa93_sapvt.pdf
asa96_lessons.pdf and asa96_lessons.ps.gz
%A L. Ingber
%T Adaptive simulated annealing (ASA): Lessons learned
%J Control and Cybernetics
%V 25
%N 1
%P 33-54
%D 1996
%O URL https://www.ingber.com/asa96_lessons.pdf
Invited paper to a special issue of Control and Cybernetics on
"Simulated Annealing Applied to Combinatorial Optimization." The
listing of other contributors to this special issue is in
asa96_vidal_nahorski.txt
asa01_lecture.html
%A L. Ingber
%T Adaptive Simulated Annealing (ASA) and Path-Integral
(PATHINT) Algorithms: Generic Tools for Complex Systems
%R ASA-PATHINT Lecture Plates
%I Physical Studies Institute
%D 2001
%O Invited talk U Calgary, Canada, April 2001. URL
https://www.ingber.com/asa01_lecture.pdf
asa01_lecture.pdf and asa01_lecture.ps.gz offers an alternative
PDF or PostScript format.
Links asa01_lecture.html, asa01_lecture.pdf and
asa01_lecture.ps.gz, with path01_lecture.html,
path01_lecture.pdf and path01_lecture.ps.gz
Also see PATHINT-CODE .
asa03_reinforce.pdf
%A A.F. Atiya
%A A.G. Parlos
%A L. Ingber
%T A reinforcement learning method based on adaptive simulated
annealing
%B Proceedings International Midwest Symposium on Circuits and
Systems (MWCAS), December 2003
%I IEEE CAS
%C Cairo, Egypt
%D 2003
%O URL https://www.ingber.com/asa03_reinforce.pdf
asa06_ism.pdf
%A L. Ingber
%T Ideas by statistical mechanics (ISM)
%R Report 2006:ISM
%I Physical Studies Institute
%D 2006
%O URL https://www.ingber.com/smni06_ism.pdf
ISM integrates previous projects to model evolution and
propagation of ideas/patterns throughout populations subjected
to endogenous and exogenous interactions. A short version
appears as "AI and Ideas by Statistical Mechanics (ISM)" in the
Encyclopedia of Artificial Intelligence, pp. 58-64 (2008) [
https://www.igi-global.com/chapter/ideas-statistical-mechanics/1
0226 ], and in "Ideas by Statistical Mechanics (ISM)", Journal
of Integrated Systems Design and Process Science, Vol. 11, No.
3, pp. 31-54 (2007), Special Issue: Biologically Inspired
Computing [ https://dl.acm.org/doi/abs/10.5555/1517398.1517402
].
Links smni06_ism.pdf with asa06_ism.pdf and markets06_ism.pdf
asa11_options.pdf
%A L. Ingber
%T Adaptive Simulated Annealing
%B Stochastic global optimization and its applications with
fuzzy adaptive simulated annealing
%E H.A. Oliveira, Jr.
%E A. Petraglia
%E L. Ingber
%E M.A.S. Machado
%E M.R. Petraglia
%I Springer
%C New York
%D 2012
%P 33-61
%O Invited Paper. https://www.ingber.com/asa11_options.pdf
__________________________________________________________________
COMBAT
[COMBAT]
combat85_smart.pdf and combat85_smart.ps.gz
%A L. Ingber
%T Statistical mechanics algorithm for response to targets
(SMART)
%B Workshop on Uncertainty and Probability in Artificial
Intelligence: UC Los Angeles, 14-16 August 1985
%I American Association for Artificial Intelligence
%C Menlo Park, CA
%D 1985
%P 258-264
%O URL https://www.ingber.com/combat85_smart.pdf
combat86_approach.pdf and combat86_approach.ps.gz
%A L. Ingber
%T Nonlinear nonequilibrium statistical mechanics approach to C3
systems
%B 9th MIT/ONR Workshop on C3 Systems: Naval Postgraduate
School, Monterey, CA, 2-5 June 1986
%P 237-244
%D 1986
%I MIT
%C Cambridge, MA
%O URL https://www.ingber.com/combat86_approach.pdf
combat91_data.pdf and combat91_data.ps.gz
%A L. Ingber
%A H. Fujio
%A M.F. Wehner
%T Mathematical comparison of combat computer models to exercise
data
%J Mathematical Computer Modelling
%V 15
%N 1
%P 65-90
%D 1991
%O URL https://www.ingber.com/combat91_data.pdf
Links combat91_data.pdf and combat91_data.ps.gz with
path91_data.pdf and path91_data.ps.gz
Also see PATHINT-CODE .
combat91_human.pdf and combat91_human.ps.gz
%A L. Ingber
%A D.D. Sworder
%T Statistical mechanics of combat with human factors
%J Mathematical Computer Modelling
%V 15
%N 11
%D 1991
%P 99-127
%O URL https://www.ingber.com/combat91_human.pdf
combat93_c3sci.pdf and combat93_c3sci.ps.gz
%A L. Ingber
%T Statistical mechanics of combat and extensions
%B Toward a Science of Command, Control, and Communications
%E C. Jones
%I American Institute of Aeronautics and Astronautics
%C Washington, D.C.
%D 1993
%P 117-149
%O ISBN 1-56347-068-3. URL
https://www.ingber.com/combat93_c3sci.pdf
This summarizes a series of papers started in 1985, which led to
the baselining of JANUS(T) simulation to National Training
Center (NTC) data.
combat97_cmi.pdf and combat97_cmi.ps.gz
%A M. Bowman
%A L. Ingber
%T Canonical momenta of nonlinear combat
%B Proceedings of the 1997 Simulation Multi-Conference, 6-10
April 1997, Atlanta, GA
%I Society for Computer Simulation
%C San Diego, CA
%D 1997
%O URL https://www.ingber.com/combat97_cmi.pdf
combat01_lecture.html
%A L. Ingber
%T Statistical Mechanics of Combat (SMC): Mathematical
Comparison of Computer Models to Exercise Data
%R SMC Lecture Plates
%I Physical Studies Institute
%D 2001
%O URL https://www.ingber.com/combat01_lecture.pdf
combat01_lecture.pdf and combat01_lecture.ps.gz offers an
alternative PDF or PostScript format.
combat15_milint.pdf
%A L. Ingber
%T Biological impact on military intelligence: Application or
metaphor?
%J International Journal of Intelligent Defence Support Systems
%V 5
%N 3
%P 173-185
%D 2015
%O URL https://www.ingber.com/combat15_milint.pdf
Links smni15_milint.pdf with combat15_milint.pdf
__________________________________________________________________
MARKETS
[MARKETS]
TRD-CODE
The TRD code as it used, with some updates, in L. Ingber, "Trading in
Risk Dimensions (TRD)," Report 2005:TRD, Physical Studies Institute,
Ashland, OR, (2005). [ URL markets05_trd.pdf ] is listed in
https://www.ingber.com/private/CODE/TRD_2015 .
Note that this code was also used as described in L. Ingber, "Trading
in Risk Dimensions," in The Handbook of Trading: Strategies for
Navigating and Profiting from Currency, Bond, and Stock Markets, edited
by G.N. Gregoriou (McGraw-Hill, New York, 2010), p. 287-300.
markets84_statmech.pdf and markets84_statmech.ps.gz
%A L. Ingber
%T Statistical mechanics of nonlinear nonequilibrium financial
markets
%J Mathematical Modelling
%V 5
%N 6
%P 343-361
%D 1984
%O URL https://www.ingber.com/markets84_statmech.pdf
markets90_interest.pdf and markets90_interest.ps.gz
%A L. Ingber
%T Statistical mechanical aids to calculating term structure
models
%J Physical Review A
%V 42
%N 12
%D 1990
%P 7057-7064
%O URL https://www.ingber.com/markets90_interest.pdf
markets90_interest was the first paper on finance published in
Physical Review.
markets91_interest.pdf and markets91_interest.ps.gz
%A L. Ingber
%A M.F. Wehner
%A G.M. Jabbour
%A T.M. Barnhill
%T Application of statistical mechanics methodology to
term-structure bond-pricing models
%J Mathematical Computer Modelling
%V 15
%N 11
%D 1991
%P 77-98
%O URL https://www.ingber.com/markets91_interest.pdf
markets96_brief.pdf and markets96_brief.ps.gz
%A L. Ingber
%T Trading markets with canonical momenta and adaptive simulated
annealing
%R Report 1996:TMCMASA
%I Physical Studies Institute
%C McLean, VA
%D 1996
%O URL https://www.ingber.com/markets96_brief.pdf
This paper gives relatively non-technical descriptions of ASA
and canonical momenta, and their applications to markets and
EEG. The paper was solicited by AI in Finance prior to cessation
of their publication.
markets96_momenta.pdf and markets96_momenta.ps.gz
%A L. Ingber
%T Canonical momenta indicators of financial markets and
neocortical EEG
%B Progress in Neural Information Processing
%E S.-I. Amari, L. Xu, I. King, and K.-S. Leung
%I Springer
%C New York
%P 777-784
%D 1996
%O Invited paper to the 1996 International Conference on Neural
Information Processing (ICONIP'96), Hong Kong, 24-27 September
1996. ISBN 981 3083-05-0. URL
https://www.ingber.com/markets96_momenta.pdf
Tables of data supporting this paper are given in
markets96_momenta_tbl.txt.gz
markets96_lag_cmi.c contains C-code for the Lagrangian cost
function described in /markets96_momenta.ps.gz to be fit to
data. Also included is code for the CMI derived from this
Lagrangian.
This paper advances the work described in
markets96_trading.ps.gz. A brief introduction to canonical
momenta is included in ingber_projects.txt
markets96_trading.pdf and markets96_trading.ps.gz
%A L. Ingber
%T Statistical mechanics of nonlinear nonequilibrium financial
markets: Applications to optimized trading
%J Mathematical Computer Modelling
%V 23
%N 7
%P 101-121
%D 1996
%O URL https://www.ingber.com/markets96_trading.pdf
markets98_smfm_appl.pdf and markets98_smfm_appl.ps.gz
%A L. Ingber
%T Some Applications of Statistical Mechanics of Financial
Markets
%R PSI-98-1-SASMFM
%I Physical Studies Institute
%C Chicago, IL
%D 1998
%O URL https://www.ingber.com/markets98_smfm_appl.pdf
markets98_lecture.pdf and markets98_lecture.ps.gz
%A L. Ingber
%T Statistical mechanics of financial markets (SMFM)
%R SMFM Lecture Plates
%I Physical Studies Institute
%C Chicago, IL
%D 1998
%O Update invited talk to U of Chicago Financial Mathematics
Seminar, 20 Nov 1998. URL
https://www.ingber.com/markets98_lecture.pdf
markets99_spread.pdf and markets99_spread.ps.gz
%A L. Ingber
%T A simple options training model
%J Mathematical Computer Modelling
%V 30
%P 167-182
%D 1999
%O URL https://www.ingber.com/markets99_spread.pdf
markets99_vol.pdf and markets99_vol.ps.gz
%A L. Ingber
%A J.K. Wilson
%T Volatility of volatility of financial markets
%J Mathematical Computer Modelling
%V 29
%P 39-57
%D 1999
%O URL https://www.ingber.com/markets99_vol.pdf
markets00_exp.pdf and markets00_exp.ps.gz
%A L. Ingber
%A J.K. Wilson
%T Statistical mechanics of financial markets: Exponential
modifications to Black-Scholes
%J Mathematical Computer Modelling
%V 31
%N 8/9
%P 167-192
%D 2000
%O URL https://www.ingber.com/markets00_exp.pdf
Links markets00_exp.pdf and markets00_exp.ps.gz with
path00_exp.pdf and path00_exp.ps.gz
Also see PATHINT-CODE .
markets00_highres.pdf and markets00_highres.ps.gz
%A L. Ingber
%T High-resolution path-integral development of financial
options
%J Physica A
%V 283
%N 3-4
%P 529-558
%D 2000
%O URL https://www.ingber.com/markets00_highres.pdf
Links markets00_highres.pdf and markets00_highres.ps.gz with
path00_highres.pdf and path00_highres.ps.gz
Also see PATHINT-CODE .
markets01_optim_trading.pdf
%A L. Ingber
%A R.P. Mondescu
%T Optimization of Trading Physics Models of Markets
%D 2001
%V 12
%N 4
%P 776-790
%J IEEE Trans. Neural Networks
%O Invited paper for special issue on Neural Networks in
Financial Engineering. URL
https://www.ingber.com/markets01_optim_trading.pdf
markets01_pathtree.pdf and markets01_pathtree.ps.gz
%A L. Ingber
%A C. Chen
%A R.P. Mondescu
%A D. Muzzall
%A M. Renedo
%T Probability tree algorithm for general diffusion processes
%J Physical Review E
%V 64
%N 5
%P 056702-056707
%D 2001
%O URL https://www.ingber.com/path01_pathtree.pdf
My PATHTREE algorithm, like my PATHINT code, accurately
propagates quite generally nonlinear multiplicative-noise
probability distributions defined as a path integral, but
PATHTREE is very fast and very easy to implement.
Links path01_pathtree.pdf and path01_pathtree.ps.gz with
markets01_pathtree.pdf and markets01_pathtree.ps.gz .
Also see PATHTREE-CODE .
markets01_lecture.html
%A L. Ingber
%T Statistical Mechanics of Financial Markets (SMFM):
Applications to Trading Indicators and Options
%R SMFM Lecture Plates
%I Physical Studies Institute
%D 2001
%O Invited talk U Calgary, Canada, April 2001. Invited talk U
Florida, Gainesville, April 2002. Invited talk Tulane U, New
Orleans, January 2003. URL
https://www.ingber.com/markets01_lecture.pdf
markets01_lecture.pdf and markets01_lecture.ps.gz offers an
alternative PDF or PostScript format.
markets02_portfolio.pdf
%A L. Ingber
%T Statistical mechanics of portfolios of options
%D 2002
%I Physical Studies Institute
%C Chicago, IL
%O URL https://www.ingber.com/markets02_portfolio.pdf
markets03_automated.pdf
%A L. Ingber
%A R.P. Mondescu
%B Intelligent Internet-Based Information Processing Systems
%T Automated internet trading based on optimized physics models
of markets
%E R.J. Howlett
%E N.S. Ichalkaranje
%E L.C. Jain
%E G. Tonfoni
%I World Scientific
%C Singapore
%D 2003
%P 305-356
%O Invited paper. URL
https://www.ingber.com/markets03_automated.pdf
markets05_trd.pdf
%A L. Ingber
%T Trading in Risk Dimensions (TRD)
%R Report 2005:TRD
%D 2005
%I Physical Studies Institute
%C Ashland, OR
%O URL https://www.ingber.com/markets05_trd.pdf
Also see TRD-CODE .
A shorter updated paper with this title appears in the Handbook
of Trading: Strategies for Navigating and Profiting from
Currency, Bond, and Stock Markets published by McGraw-Hill
(2010). Only the Table of Contents and the Abstract appear in
https://www.ingber.com/markets05_trd.pdf , as the publisher has
requested all previous markets_trd_report.pdf papers be removed
from the internet. (This report is not online and is
occasionally updated. Contact me for more information.)
A pdf of the TRD section of the ppt presentation is in
markets10_trd_present.pdf
markets06_ism.pdf
%A L. Ingber
%T Ideas by statistical mechanics (ISM)
%R Report 2006:ISM
%I Physical Studies Institute
%D 2006
%O URL https://www.ingber.com/smni06_ism.pdf
ISM integrates previous projects to model evolution and
propagation of ideas/patterns throughout populations subjected
to endogenous and exogenous interactions. A short version
appears as "AI and Ideas by Statistical Mechanics (ISM)" in the
Encyclopedia of Artificial Intelligence, pp. 58-64 (2008) [
https://www.igi-global.com/chapter/ideas-statistical-mechanics/1
0226 ], and in "Ideas by Statistical Mechanics (ISM)", Journal
of Integrated Systems Design and Process Science, Vol. 11, No.
3, pp. 31-54 (2007), Special Issue: Biologically Inspired
Computing [ https://dl.acm.org/doi/abs/10.5555/1517398.1517402
].
Links smni06_ism.pdf with asa06_ism.pdf and markets06_ism.pdf
markets07_rops.pdf
%A L. Ingber
%T Real Options for Project Schedules (ROPS)
%R Report 2007:ROPS
%D 2007
%I Physical Studies Institute
%O URL https://www.ingber.com/markets07_rops.pdf
An updated invited paper is published in SGI Reflections
International Journal of Science, Technology & Management
(2010). URL
http://sgi.ac.in/colleges/newsletters/1146080820111637301.pdf
markets16_quantum_path.pdf
%A L. Ingber
%T Path-integral quantum PATHTREE algorithm
%J International Journal of Innovative Research in Information
Security
%V 3
%N 5
%P 1-39
%D 2016
%O URL https://www.ingber.com/path16_quantum_path.pdf
Links path16_quantum_path.pdf with smni16_quantum_path.pdf and
markets16_quantum_path.pdf
markets17_quantum_pathint_shocks.pdf
%A L. Ingber
%T Evolution of regenerative Ca-ion wave-packet in
neuronal-firing fields: Quantum path-integral with serial shocks
%J International Journal of Innovative Research in Information
Security
%V 4
%N 2
%P 14-22
%D 2017
%O URL https://www.ingber.com/path17_quantum_pathint_shocks.pdf
Links path17_quantum_pathint_shocks.pdf with
smni17_quantum_pathint_shocks.pdf and
markets17_quantum_pathint_shocks.pdf
Supplemental Graphs for this project are in
path17_quantum_pathint_shocks_supp.pdf
markets17_quantum_options_shocks.pdf
%A L. Ingber
%T Options on quantum money: Quantum path-integral with serial
shocks
%J International Journal of Innovative Research in Information
Security
%V 4
%N 2
%P 7-13
%D 2017
%O URL https://www.ingber.com/path17_quantum_options_shocks.pdf
Links path17_quantum_options_shocks.pdf.pdf with
markets17_quantum_options_shocks.pdf.pdf
markets17_qpathint.pdf
%A L. Ingber
%T Quantum Path-Integral qPATHINT Algorithm
%J The Open Cybernetics Systemics Journal
%V 11
%P 119-133
%D 2017
%O URL https://www.ingber.com/path17_qpathint.pdf
Links path17_qpathint.pdf with smni17_qpathint.pdf and
markets17_qpathint.pdf
markets18_qpathint_lecture.pdf
%A L. Ingber
%T Quantum Variables in Finance and Neuroscience
%R Lecture Plates 2018:QVFN
%I Physical Studies Institute
%C Ashland, OR
%D 2018
%O URL https://www.ingber.com/path18_qpathint_lecture.pdf
Links path18_qpathint_lecture.pdf with
smni18_qpathint_lecture.pdf and markets18_qpathint_lecture.pdf
Headers are in color to enable easy identification of
sub-headers, etc. However, a black and white version is
available by request.
markets18_qpathint.pdf
%A L. Ingber
%T Quantum Variables in Finance and Neuroscience II
%R Report 2018:FNQV
%I Physical Studies Institute
%C Ashland, OR
%D 2018
%O URL https://www.ingber.com/path18_qpathint.pdf
Links path18_qpathint.pdf with smni18_qpathint.pdf and
markets18_qpathint.pdf
markets18_quantum_options.pdf
%A L. Ingber
%T Quantum path integral for financial options
%R Report 2018:QPIO
%I Physical Studies Institute
%C Ashland, OR
%D 2018
%O URL https://www.ingber.com/markets18_quantum_options.pdf
Links path18_quantum_options.pdf with
markets18_quantum_options.pdf
markets19_bid_ask_prob.pdf
%A L. Ingber
%T Developing bid-ask probabilities for high-frequency trading
%J Virtual Economics
%V 3
%N 2
%P 7-24
%D 2020
%O URL https://www.ingber.com/markets19_bid_ask_prob.pdf
Links path19_bid_ask_prob.pdf with markets19_bid_ask_prob.pdf
__________________________________________________________________
NUCLEAR
[NUCLEAR]
nuclear65_nonadiabatic.pdf
%A L. Ingber
%T Non-adiabatic corrections to the method of stationary states
%J Phys. Rev. A
%V 139
%P 35-39
%D 1965
%O URL https://www.ingber.com/nuclear65_nonadiabatic.pdf
(This file may only be shared for research.)
This was my first publication in a physics journal.
nuclear67_ThesisPhD.pdf
%A L. Ingber
%T One-meson-exchange potentials and properties of
nucleon-nucleon scattering and of nuclear matter
%R Ph.D. Thesis
%I UC San Diego
%C La Jolla, CA
%D 1967
%O URL https://www.ingber.com/nuclear67_ThesisPhD.pdf
nuclear68_forces.pdf
%A L. Ingber
%T Nuclear Forces
%J Physical Review
%V 174
%P 1250-1263
%D 1968
%O URL https://www.ingber.com/nuclear68_forces.pdf
(This file may only be shared for research.)
The 1968 paper nuclear68_forces.pdf above is based on my 1967
Ph.D. thesis.
Three papers from 1983-1986 calculated a contribution to the
binding energy of nuclear matter induced by nonlinearities of
realistic momentum-dependent nucleon-nucleon interactions,
enhancing calculations I published in the 1960's based on my
1967 Ph.D. thesis (e.g., the 1968 paper nuclear68_forces.pdf
above). Those calculations used such interactions to detail
properties of nucleon-nucleon scattering, deuteron bound state,
nuclear matter, and neutron stars.
nuclear83_riemann.pdf
%A L. Ingber
%T Riemannian corrections to velocity-dependent nuclear forces
%J Physical Review C
%V 28
%P 2536-2539
%D 1983
%O URL https://www.ingber.com/nuclear83_riemann.pdf
(This file may only be shared for research.)
nuclear84_riemann.pdf and nuclear84_riemann.ps.gz
%A L. Ingber
%T Path-integral Riemannian contributions to nuclear Schrodinger
equation
%J Physical Review D
%V 29
%P 1171-1174
%D 1984
%O URL https://www.ingber.com/nuclear84_riemann.pdf
nuclear86_riemann.pdf and nuclear86_riemann.ps.gz
%A L. Ingber
%T Riemannian contributions to short-ranged velocity-dependent
nucleon-nucleon interactions
%J Physical Review D
%V 33
%P 3781-3784
%D 1986
%O URL https://www.ingber.com/nuclear86_riemann.pdf
__________________________________________________________________
PATH-INTEGRAL
[PATHINT]
Papers markets84_statmech.pdf, markets91_interest.pdf and
smni91_eeg.pdf contain an Appendix giving a compact derivation of the
path-integral Lagrangian representation equivalent to the Langevin
rate-equation and Fokker-Planck/Schroedinger-type representations for
multivariate systems with nonlinear drifts and diffusions.
PATHINT-CODE
The PATHINT code as it was used in L. Ingber and P.L. Nunez,
"Statistical mechanics of neocortical interactions: High resolution
path-integral calculation of short-term memory," Physical Review E 51
(5), 5074-5083 (1995). [ URL smni95_stm.pdf ] is listed in
https://www.ingber.com/private/CODE/PATHINT_1995_STM .
Note that modifications of this code also were used in L. Ingber and
J.K. Wilson, "Volatility of volatility of financial markets,"
Mathematical Computer Modelling 29 (5), 39-57 (1999). [ URL
markets99_vol.pdf ] and in L. Ingber, R. Srinivasan, and P.L. Nunez,
"Path-integral evolution of chaos embedded in noise: Duffing
neocortical analog," Mathematical Computer Modelling 23 (3), 43-53
(1996). [ URL path96_duffing.pdf ] and in (for precursor of this code)
L. Ingber, H. Fujio, and M.F. Wehner, ``Mathematical comparison of
combat computer models to exercise data,'' Mathematical Computer
Modelling 15 (1), 65-90 (1991). [ URL
https://www.ingber.com/combat91_data.pdf ]
PATHTREE-CODE
The PATHTREE code as it was used in L. Ingber, C. Chen, R.P. Mondescu,
D. Muzzall, and M. Renedo, "Probability tree algorithm for general
diffusion processes," Physical Review E 64 (5), 056702-056707 (2001). [
URL https://www.ingber.com/path01_pathtree.pdf ] is listed in
https://www.ingber.com/private/CODE/PATHTREE_2002 .
See psi_computational_physics_group.html .
path86_GinsburgLandau.pdf
%A L. Ingber
%T Noise-induced extrema in time-dependent Ginsburg-Landau
systems
%J Math. Modelling
%V 7
%P 525-528
%D 1986
%O URL https://www.ingber.com/path86_GinsburgLandau.pdf
path91_data.pdf and path91_data.ps.gz
%A L. Ingber
%A H. Fujio
%A M.F. Wehner
%T Mathematical comparison of combat computer models to exercise
data
%J Mathematical Computer Modelling
%V 15
%N 1
%P 65-90
%D 1991
%O URL https://www.ingber.com/combat91_data.pdf
Also see PATHINT-CODE .
Links combat91_data.pdf and combat91_data.ps.gz with
path91_data.pdf and path91_data.ps.gz
path94_stm.pdf and path94_stm.ps.gz
%A L. Ingber
%T Statistical mechanics of neocortical interactions:
Path-integral evolution of short-term memory
%J Physical Review E
%V 49
%N 5B
%D 1994
%P 4652-4664
%O URL https://www.ingber.com/smni94_stm.pdf
Higher resolution calculations performed with a supercomputer
are presented in path95_stm.pdf (Links smni95_stm.pdf and
smni95_stm.ps.gz with path95_stm.pdf and path95_stm.ps.gz )
Links smni94_stm.pdf and smni94_stm.ps.gz with path94_stm.pdf
and path94_stm.ps.gz
Also see PATHINT-CODE .
path95_nonl.pdf and path95_nonl.ps.gz
%A L. Ingber
%T Path-integral evolution of multivariate systems with moderate
noise
%J Physical Review E
%V 51
%N 2
%P 1616-1619
%D 1995
%O URL https://www.ingber.com/path95_nonl.pdf
Also see PATHINT-CODE .
path95_stm.pdf and path95_stm.ps.gz
%A L. Ingber
%A P.L. Nunez
%T Statistical mechanics of neocortical interactions: High
resolution path-integral calculation of short-term memory
%J Physical Review E
%V 51
%N 5
%P 5074-5083
%D 1995
%O URL https://www.ingber.com/smni95_stm.pdf
Links smni95_stm.pdf and smni95_stm.ps.gz with path95_stm.pdf
and path95_stm.ps.gz
Also see PATHINT-CODE .
path96_duffing.pdf and path96_duffing.ps.gz
%A L. Ingber
%A R. Srinivasan
%A P.L. Nunez
%T Path-integral evolution of chaos embedded in noise: Duffing
neocortical analog
%J Mathematical Computer Modelling
%V 23
%N 3
%P 43-53
%D 1996
%O URL https://www.ingber.com/path96_duffing.pdf
Also see PATHINT-CODE .
path98_datamining.pdf and path98_datamining.ps.gz
%A L. Ingber
%T Data mining and knowledge discovery via statistical mechanics
in nonlinear stochastic systems
%J Mathematical Computer Modelling
%V 27
%N 3
%P 9-31
%D 1998
%O URL https://www.ingber.com/path98_datamining.pdf
path00_exp.pdf and path00_exp.ps.gz
%A L. Ingber
%A J.K. Wilson
%T Statistical mechanics of financial markets: Exponential
modifications to Black-Scholes
%J Mathematical Computer Modelling
%V 31
%N 8/9
%P 167-192
%D 2000
%O URL https://www.ingber.com/markets00_exp.pdf
Also see PATHINT-CODE .
Links markets00_exp.pdf and markets00_exp.ps.gz with
path00_exp.pdf and path00_exp.ps.gz
path00_highres.pdf and path00_highres.ps.gz
%A L. Ingber
%T High-resolution path-integral development of financial
options
%J Physica A
%V 283
%N 3-4
%P 529-558
%D 2000
%O URL https://www.ingber.com/markets00_highres.pdf
Also see PATHINT-CODE .
Links markets00_highres.pdf and markets00_highres.ps.gz with
path00_highres.pdf and path00_highres.ps.gz
path01_pathtree.pdf and path01_pathtree.ps.gz
%A L. Ingber
%A C. Chen
%A R.P. Mondescu
%A D. Muzzall
%A M. Renedo
%T Probability tree algorithm for general diffusion processes
%J Physical Review E
%V 64
%N 5
%P 056702-056707
%D 2001
%O URL https://www.ingber.com/path01_pathtree.pdf
Also see PATHTREE-CODE .
My PATHTREE algorithm, like my PATHINT code, accurately
propagates quite generally nonlinear multiplicative-noise
probability distributions defined as a path integral, but
PATHTREE is very fast and very easy to implement.
Links path01_pathtree.pdf and path01_pathtree.ps.gz with
markets01_pathtree.pdf and markets01_pathtree.ps.gz .
path01_lecture.html
%A L. Ingber
%T Adaptive Simulated Annealing (ASA) and Path-Integral
(PATHINT) Algorithms: Generic Tools for Complex Systems
%R ASA-PATHINT Lecture Plates
%I Physical Studies Institute
%D 2001
%O Invited talk U Calgary, Canada, April 2001. URL
https://www.ingber.com/asa01_lecture.pdf
path01_lecture.pdf and path01_lecture.ps.gz, offers an
alternative PDF or PostScript format.
Also see PATHINT-CODE .
Links asa01_lecture.html, asa01_lecture.pdf and
asa01_lecture.ps.gz, with path01_lecture.html,
path01_lecture.pdf and path01_lecture.ps.gz
path10_multiple_scales.pdf
%A L. Ingber
%A P.L. Nunez
%T Neocortical Dynamics at Multiple Scales: EEG Standing Waves,
Statistical Mechanics, and Physical Analogs
%J Mathematical Biosciences
%D 2010
%O URL https://www.ingber.com/path10_multiple_scales.pdf
This paper includes PATHINT evolution of probability
distributions of columnar activity with explicit oscillatory
firings, and integration of such mesoscopic processes with
global brain EEG activity.
Links smni10_multiple_scales.pdf with
path10_multiple_scales.pdf.
path16_quantum_path.pdf
%A L. Ingber
%T Path-integral quantum PATHTREE algorithm
%J International Journal of Innovative Research in Information
Security
%V 3
%N 5
%P 1-15
%D 2016
%O URL https://www.ingber.com/path16_quantum_path.pdf
Links path16_quantum_path.pdf with smni16_quantum_path.pdf and
markets16_quantum_path.pdf
path17_quantum_pathint_shocks.pdf
%A L. Ingber
%T Evolution of regenerative Ca-ion wave-packet in
neuronal-firing fields: Quantum path-integral with serial shocks
%J International Journal of Innovative Research in Information
Security
%V 4
%N 2
%P 14-22
%D 2017
%O URL https://www.ingber.com/path17_quantum_pathint_shocks.pdf
Links path17_quantum_pathint_shocks.pdf with
smni17_quantum_pathint_shocks.pdf and
markets17_quantum_pathint_shocks.pdf
Supplemental Graphs for this project are in
path17_quantum_pathint_shocks_supp.pdf
path17_quantum_options_shocks.pdf
%A L. Ingber
%T Options on quantum money: Quantum path-integral with serial
shocks
%J International Journal of Innovative Research in Information
Security
%V 4
%N 2
%P 7-13
%D 2017
%O URL https://www.ingber.com/path17_quantum_options_shocks.pdf
Links path17_quantum_options_shocks.pdf.pdf with
markets17_quantum_options_shocks.pdf.pdf
path17_qpathint.pdf
%A L. Ingber
%T Quantum Path-Integral qPATHINT Algorithm
%J The Open Cybernetics Systemics Journal
%V 11
%P 119-133
%D 2017
%O URL https://www.ingber.com/path17_qpathint.pdf
Links path17_qpathint.pdf with smni17_qpathint.pdf and
markets17_qpathint.pdf
path18_qpathint_lecture.pdf
%A L. Ingber
%T Quantum Variables in Finance and Neuroscience
%R Lecture Plates 2018:QVFN
%I Physical Studies Institute
%C Ashland, OR
%D 2018
%O URL https://www.ingber.com/path18_qpathint_lecture.pdf
Links path18_qpathint_lecture.pdf with
smni18_qpathint_lecture.pdf and markets18_qpathint_lecture.pdf
Headers are in color to enable easy identification of
sub-headers, etc. However, a black and white version is
available by request.
path18_qpathint.pdf
%A L. Ingber
%T Quantum Variables in Finance and Neuroscience II
%R Report 2018:FNQV
%I Physical Studies Institute
%C Ashland, OR
%D 2018
%O URL https://www.ingber.com/path18_qpathint.pdf
Links path18_qpathint.pdf with smni18_qpathint.pdf and
markets18_qpathint.pdf
path18_quantum_options.pdf
%A L. Ingber
%T Quantum path integral for financial options
%R Report 2018:QPIO
%I Physical Studies Institute
%C Ashland, OR
%D 2018
%O URL https://www.ingber.com/path18_quantum_options.pdf
Links path18_quantum_options.pdf with
markets18_quantum_options.pdf
path19_bid_ask_prob.pdf
%A L. Ingber
%T Developing bid-ask probabilities for high-frequency trading
%R Report 2019:DBAP
%I Physical Studies Institute
%C Ashland, OR
%D 2019
%O URL https://www.ingber.com/markets19_bid_ask_prob.pdf
Links path19_bid_ask_prob.pdf with markets19_bid_ask_prob.pdf
__________________________________________________________________
NEOCORTEX
[SMNI]
[STM]
SMNI-CODE
The spline-Laplacian code as it was used in L. Ingber, ``Statistical
mechanics of neocortical interactions: Large- scale EEG influences on
molecular processes,'' Journal of Theoretical Biology (2016). [ URL
smni16_large-scale_molecular.pdf ] is listed in
https://www.ingber.com/private/CODE/spline-Laplacian_2015 .
smni72_learning.pdf
%A L. Ingber
%T Editorial: Learning to learn
%J Explore
%V 7
%P 5-8
%D 1972
%O URL https://www.ingber.com/smni72_learning.pdf
Links smni72_learning.pdf with karate72_learning.pdf.
smni81_attention.pdf
%A L. Ingber
%T Attention, physics and teaching
%J Journal Social Biological Structures
%V 4
%P 225-235
%D 1981
%O URL https://www.ingber.com/smni81_attention.pdf
(This file may only be shared for research.)
This paper describes a methodology and implementation of
teaching a full curriculum of academics, fine arts and physical
disciplines, also tested as described in smni72_learning.pdf,
based in part on a similar methodology I developed for teaching
karate, in turn based on my brain research.
Links smni81_attention.pdf with karate81_attention.pdf
smni81_unified.pdf
%A L. Ingber
%T Towards a unified brain theory
%J Journal Social Biological Structures
%V 4
%P 211-224
%D 1981
%O URL https://www.ingber.com/smni81_unified.pdf
(This file may only be shared for research.)
smni82_reader.pdf
%A Lester Ingber
%T Prediction of neural implants
%B The Reader
%C Del Mar, CA
%D 8 Jan 1982
%O URL https://www.ingber.com/smni82_reader.pdf
smni82_basic.pdf and smni82_basic.ps.gz
%A L. Ingber
%T Statistical mechanics of neocortical interactions. I. Basic
formulation
%J Physica D
%V 5
%P 83-107
%D 1982
%O URL https://www.ingber.com/smni82_basic.pdf
smni82_basic is a detailed mathematical presentation of
smni81_unified.
smni83_dynamics.pdf and smni83_dynamics.ps.gz
%A L. Ingber
%T Statistical mechanics of neocortical interactions. Dynamics
of synaptic modification
%J Physical Review A
%V 28
%P 395-416
%D 1983
%O URL https://www.ingber.com/smni83_dynamics.pdf
smni83_dynamics was the first paper on the brain published in
Physical Review.
smni84_stm.pdf and smni84_stm.ps.gz
%A L. Ingber
%T Statistical mechanics of neocortical interactions. Derivation
of short-term-memory capacity
%J Physical Review A
%V 29
%P 3346-3358
%D 1984
%O URL https://www.ingber.com/smni84_stm.pdf
The Appendix contains more details on calculations in the 1982
and 1983 SMNI papers.
smni85_eeg.pdf and smni85_eeg.ps.gz
%A L. Ingber
%T Statistical mechanics of neocortical interactions. EEG
dispersion relations
%J IEEE Transactions Biomedical Engineering
%V 32
%P 91-94
%D 1985
%O URL https://www.ingber.com/smni85_eeg.pdf
smni85_stm.pdf and smni85_stm.ps.gz
%A L. Ingber
%T Statistical mechanics of neocortical interactions: Stability
and duration of the 7+-2 rule of short-term-memory capacity
%J Physical Review A
%V 31
%P 1183-1186
%D 1985
%O URL https://www.ingber.com/smni85_stm.pdf
smni91_eeg.pdf and smni91_eeg.ps.gz
%A L. Ingber
%T Statistical mechanics of neocortical interactions: A scaling
paradigm applied to electroencephalography
%J Physical Review A
%N 6
%V 44
%P 4017-4060
%D 1991
%O URL https://www.ingber.com/smni91_eeg.pdf
smni92_mnn.pdf and smni92_mnn.ps.gz
%A L. Ingber
%T Generic mesoscopic neural networks based on statistical
mechanics of neocortical interactions
%J Physical Review A
%V 45
%N 4
%P R2183-R2186
%D 1992
%O URL https://www.ingber.com/smni92_mnn.pdf
Links smni92_mnn.pdf and smni92_mnn.ps.gz with asa92_mnn.pdf and
asa92_mnn.ps.gz
smni94_stm.pdf and smni94_stm.ps.gz
%A L. Ingber
%T Statistical mechanics of neocortical interactions:
Path-integral evolution of short-term memory
%J Physical Review E
%V 49
%N 5B
%D 1994
%P 4652-4664
%O URL https://www.ingber.com/smni94_stm.pdf
Higher resolution calculations performed with a supercomputer
are in smni95_stm.pdf . (Links smni95_stm.pdf and
smni95_stm.ps.gz with path95_stm.pdf and path95_stm.ps.gz )
Links smni94_stm.pdf and smni94_stm.ps.gz with path94_stm.pdf
and path94_stm.ps.gz
Also see PATHINT-CODE .
smni95_images.pdf and smni95_images.ps.gz
%A L. Ingber
%T Multiple scales of brain-mind interaction
%J Behavioral and Brain Sciences
%V 18
%N 2
%P 360-362
%D 1995
%O URL https://www.ingber.com/smni95_images.pdf
Invited commentary on Images of Mind, by M.I. Posner and M.E.
Raichle.
smni95_scales.pdf and smni95_scales.ps.gz
%A L. Ingber
%T Statistical mechanics of multiple scales of neocortical
interactions
%B Neocortical Dynamics and Human EEG Rhythms
%E P.L. Nunez
%I Oxford University Press
%C New York, NY
%P 628-681
%D 1995
%O ISBN 0-19-505728-7. URL
https://www.ingber.com/smni95_scales.pdf
smni95_stm.pdf and smni95_stm.ps.gz
%A L. Ingber
%A P.L. Nunez
%T Statistical mechanics of neocortical interactions: High
resolution path-integral calculation of short-term memory
%J Physical Review E
%V 51
%N 5
%P 5074-5083
%D 1995
%O URL https://www.ingber.com/smni95_stm.pdf
Links smni95_stm.pdf and smni95_stm.ps.gz with path95_stm.pdf
and path95_stm.ps.gz
Also see PATHINT-CODE .
smni95_stm40hz.pdf and smni95_stm40hz.ps.gz
%A L. Ingber
%T Statistical mechanics of neocortical interactions:
Constraints on 40 Hz models of short-term memory
%J Physical Review E
%V 52
%N 4
%D 1995
%P 4561-4563
%O URL https://www.ingber.com/smni95_stm40hz.pdf
smni96_eeg.pdf and smni96_eeg.ps.gz
%A L. Ingber
%T Statistical mechanics of neocortical interactions: Multiple
scales of EEG
%B Frontier Science in EEG: Continuous Waveform Analysis
(Electroencephalography Clinical Neurophysiology Suppl. 45)
%E R.M. Dasheiff and D.J. Vincent
%I Elsevier
%C Amsterdam
%D 1996
%P 79-112
%O URL https://www.ingber.com/smni96_eeg.pdf
Invited talk to the Frontier Science in EEG Symposium, New
Orleans, 9 Oct 1993. The listing of other contributors to this
supplement is in smni96_dasheiff_vincent.txt
smni96_nonlinear.pdf and smni96_nonlinear.ps.gz
%A L. Ingber
%T Nonlinear nonequilibrium nonquantum nonchaotic statistical
mechanics of neocortical interactions
%J Behavioral and Brain Sciences
%V 19
%N 2
%P 300-301
%D 1996
%O URL https://www.ingber.com/smni96_nonlinear.pdf
Invited commentary on Dynamics of the brain at global and
microscopic scales: Neural networks and the EEG, by J.J. Wright
and D.T.J. Liley.
smni97_cmi.pdf and smni97_cmi.ps.gz
%A L. Ingber
%T Statistical mechanics of neocortical interactions: Canonical
momenta indicators of electroencephalography
%J Physical Review E
%V 55
%N 4
%P 4578-4593
%D 1997
%O URL https://www.ingber.com/smni97_cmi.pdf
Raw EEG data used for this study can be freely downloaded, as
described in smni97_eeg_data.txt and
http://archive.ics.uci.edu/ml/datasets/EEG+Database
Additional results (tables of ASA-fitted parameters and 60 files
containing 240 PostScript graphs) are contained in
smni97_eeg_cmi.tar.gz .
smni97_lecture.pdf and smni97_lecture.ps.gz
%A L. Ingber
%T Statistical mechanics of neocortical interactions (SMNI)
%R SMNI Lecture Plates
%I Physical Studies Institute
%C Chicago, IL
%D 1997
%O URL https://www.ingber.com/smni97_lecture.pdf
smni98_cmi_test.pdf and smni98_cmi_test.ps.gz
%A L. Ingber
%T Statistical mechanics of neocortical interactions: Training
and testing canonical momenta indicators of EEG
%J Mathematical Computer Modelling
%V 27
%N 3
%P 33-64
%D 1998
%O URL https://www.ingber.com/smni98_cmi_test.pdf
Raw EEG data used for this study can be freely downloaded, as
described in smni97_eeg_data.txt
Additional results (tables of ASA-fitted parameters and 60 files
containing 240 PostScript graphs) are contained in
smni97_eeg_cmi.tar.gz
smni99_g_factor.pdf and smni99_g_factor.ps.gz
%A L. Ingber
%T Statistical mechanics of neocortical interactions: Reaction
time correlates of the g factor
%J Psycholoquy
%V 10
%N 068
%D 1999
%O URL https://www.ingber.com/smni99_g_factor.pdf
Invited commentary on The g Factor: The Science of Mental
Ability by Arthur Jensen.
A link to this and other commentaries in html format, and the
abstract to the precis by Jensen, followed by ASCII-formatted
versions of my commentary and his reply, are in
smni00_jensen.txt
smni00_eeg_rt.pdf and smni00_eeg_rt.ps.gz
%A L. Ingber
%T Statistical mechanics of neocortical interactions: EEG
correlates of reaction times
%B Proceedings World Congress on Medical Physics and Biomedical
Engineering, July 23-28, 2000
%I World Congress on Medical Physics and Biomedical Engineering
%C Chicago, IL
%D 2000
%O URL https://www.ingber.com/smni00_eeg_rt.pdf
smni00_eeg_stm.pdf and smni00_eeg_stm.ps.gz
%A L. Ingber
%T Statistical mechanics of neocortical interactions: EEG
eigenfunctions of short-term memory
%J Behavioral and Brain Sciences
%V 23
%N 3
%P 403-405
%D 2000
%O URL https://www.ingber.com/smni00_eeg_stm.pdf
Invited commentary on Toward a Quantitative Description of
Large-Scale Neocortical Dynamic Function and EEG, by P.L. Nunez.
smni01_lecture.html
%A L. Ingber
%T Statistical Mechanics of Neocortical Interactions (SMNI):
Multiple Scales of Short-Term Memory and EEG Phenomena
%R SMNI Lecture Plates
%I Physical Studies Institute
%D 2001
%O Invited talk U Calgary, Canada, April 2001. URL
https://www.ingber.com/smni01_lecture.pdf
smni01_lecture.pdf and smni01_lecture.ps.gz offers an
alternative PDF or PostScript format.
smni06_ism.pdf
%A L. Ingber
%T Ideas by statistical mechanics (ISM)
%R Report 2006:ISM
%I Physical Studies Institute
%D 2006
%O URL https://www.ingber.com/smni06_ism.pdf
ISM integrates previous projects to model evolution and
propagation of ideas/patterns throughout populations subjected
to endogenous and exogenous interactions. A short version
appears as "AI and Ideas by Statistical Mechanics (ISM)" in the
Encyclopedia of Artificial Intelligence, pp. 58-64 (2008) [
https://www.igi-global.com/chapter/ideas-statistical-mechanics/1
0226 ], and in "Ideas by Statistical Mechanics (ISM)", Journal
of Integrated Systems Design and Process Science, Vol. 11, No.
3, pp. 31-54 (2007), Special Issue: Biologically Inspired
Computing [ https://dl.acm.org/doi/abs/10.5555/1517398.1517402
].
Links smni06_ism.pdf with asa06_ism.pdf and markets06_ism.pdf
smni06_ppi.pdf
%A L. Ingber
%T Statistical mechanics of neocortical interactions: Portfolio
of physiological indicators
%R Report 2006:PPI
%I Physical Studies Institute
%D 2006
%O URL https://www.ingber.com/smni06_ppi.pdf
A modified paper is published in The Open Cybernetics Systemics
Journal, vol. 3(14), pp. 13-26 (2009), URL
https://dx.doi.org/10.2174/1874110x00903010013
PPI is used in the context of developing experimental data for
testing theories of neocortical interactions in an invited paper
referenced below, "Statistical mechanics of neocortical
interactions (SMNI): Testing theories with multiple imaging
data" in smni08_tt.pdf below.
smni07_timedelays.pdf
%A L. Ingber
%T Statistical mechanics of neocortical interactions: Time
delays
%R Report 2007:TD
%I Physical Studies Institute
%D 2007
%O URL https://www.ingber.com/smni07_timedelays.pdf
smni08_tt.pdf
%A L. Ingber
%T Statistical mechanics of neocortical interactions (SMNI):
Testing theories with multiple imaging data
%J NeuroQuantology Journal
%V 6
%N 2
%D 2008
%P 97-104
%O Invited paper. URL https://www.ingber.com/smni08_tt.pdf
smni09_columnar_eeg.pdf
%A L. Ingber
%T Statistical mechanics of neocortical interactions: Columnar
EEG
%R Report 2009:CEEG
%I Physical Studies Institute
%D 2009
%O URL https://www.ingber.com/smni09_columnar_eeg.pdf
This early report considered oscillations in quasi-linearized
Euler-Lagrange equations. The subsequent study in
smni09_nonlin_column_eeg.pdf considers the full nonlinear system
and gives more background and implications of the calculations.
The study after that in smni10_multiple_scales.pdf includes
definitive calculations using PATHINT to evolve multivariate
probability distributions of firing states.
smni09_nonlin_column_eeg.pdf
%A L. Ingber
%T Statistical mechanics of neocortical interactions: Nonlinear
columnar electroencephalography
%J NeuroQuantology Journal
%V 7
%N 4
%P 500-529
%D 2009
%O URL https://www.ingber.com/smni09_nonlin_column_eeg.pdf
The next study in smni10_multiple_scales.pdf includes definitive
calculations using PATHINT to evolve multivariate probability
distributions of firing states.
smni10_multiple_scales.pdf
%A L. Ingber
%A P.L. Nunez
%T Neocortical Dynamics at Multiple Scales: EEG Standing Waves,
Statistical Mechanics, and Physical Analogs
%J Mathematical Biosciences
%D 2010
%O URL https://www.ingber.com/smni10_multiple_scales.pdf
This paper includes PATHINT evolution of probability
distributions of columnar activity with explicit oscillatory
firings, and integration of such mesoscopic processes with
global brain EEG activity.
Links smni10_multiple_scales.pdf with
path10_multiple_scales.pdf.
smni11_cog_comp.pdf
%A L. Ingber
%T Computational algorithms derived from multiple scales of
neocortical processing
%B Pointing at Boundaries: Integrating Computation and Cognition
on Biological Grounds
%E A. Pereira, Jr.
%E E. Massad
%E N. Bobbitt
%I Springer
%C New York
%D 2011
%O Invited Paper. URL https://www.ingber.com/smni11_cog_comp.pdf
and https://dx.doi.org/10.1007/s12559-011-9105-4
smni11_stm_scales.pdf
%A L. Ingber
%T Columnar EEG magnetic influences on molecular development of
short-term memory
%B Short-Term Memory: New Research
%E G. Kalivas
%E S.F. Petralia
%D 2012
%P 37-72
%I Nova
%C Hauppauge, NY
%O Invited Paper. URL
https://www.ingber.com/smni11_stm_scales.pdf
(This file may only be shared for research.)
smni12_vectpot.pdf
%A L. Ingber
%T Influence of macrocolumnar EEG on Ca waves
%J Current Progress Journal
%D 2012
%V 1
%N 1
%P 4-8
%D 2012
%O URL https://www.ingber.com/smni12_vectpot.pdf
smni12_multiscale.pdf
%A P.L. Nunez
%A R. Srinivasan
%A L. Ingber
%E M.M. Pesenson
%T Theoretical and experimental electrophysiology in human
neocortex: Multiscale correlates of conscious experience
%B Multiscale Analysis and Nonlinear Dynamics: From genes to the
brain
%D 2013
%P 149-178
%I Wiley
%C New York
%O URL https://dx.doi.org/10.1002/9783527671632.ch06
This report is not online as a reprint. Contact me for more
information.
smni13_eeg_ca_lect.pptx and smni13_eeg_ca_lect.pdf
%A L. Ingber
%R Report 2013:LFIC
%T Electroencephalographic (EEG) influence on Ca^2+ waves:
Lecture plates
%D 2013
%I Physical Studies Institute
%C Ashland, OR
%O 2nd World Neuroscience Online Conference 18 June 2013. URL
https://www.ingber.com/smni13_eeg_ca_lect.pptx and
https://www.ingber.com/smni13_eeg_ca_lect.pdf
smni14_eeg_ca.pdf
%A L. Ingber
%A M. Pappalepore
%A R.R. Stesiak
%J Journal of Theoretical Biology
%T Electroencephalographic field influence on calcium momentum
waves
%V 343
%P 138-153
%D 2014
%O URL https://www.ingber.com/smni14_eeg_ca.pdf and
https://dx.doi.org/10.1016/j.jtbi.2013.11.002
Graphs and Supplemental Analysis for this project are in
smni14_eeg_ca_supp.pdf
Reviews leading to publication of this paper, and some
subsequent XSEDE.org, UCSD.edu and SDSC.edu Press Releases are
in smni14_eeg_ca_JTB_reviews.txt . E.g., see
https://www.xsede.org/mechanism-of-short-term-memory ,
http://www.sdsc.edu/News%20Items/PR041414_short_term_memory.html
, and
http://ucsdnews.ucsd.edu/pressrelease/the_mechanism_of_short_ter
m_memory .
A short 5-minute audio-slide presentation accompanies this paper
smni14_eeg_ca_audio-slides.mp4
or slides only smni14_eeg_ca_slides.pdf
smni14_conscious_scales_lect.pptx and smni14_conscious_scales_lect.pdf
%A L. Ingber
%R Report 2014:LFIC
%T Influences on consciousness from multiple scales of
neocortical interactions: Lecture plates
%D 2014
%I Physical Studies Institute
%C Ashland, OR
%O 3rd World Neuroscience Online Conference 17 June 2014. URL
https://www.ingber.com/smni14_conscious_scales_lect.pptx and
https://www.ingber.com/smni14_conscious_scales_lect.pdf
smni15_milint.pdf
%A L. Ingber
%T Biological Impact on Military Intelligence: Application or
Metaphor?
%J International Journal of Intelligent Defence Support Systems
%V 5
%N 3
%P 173-185
%D 2015
%O URL https://www.ingber.com/smni15_milint.pdf
Links combat15_milint.pdf with smni15_milint.pdf
smni15_synergy.pdf
%A L. Ingber
%T Synergy among multiple scales of neocortical interactions
%R Report 2015:SCSM
%D 2015
%I Physical Studies Institute
%C Ashland, OR
%O URL https://www.ingber.com/smni15_synergy.pdf
This short paper is intended to be primarily an Executive
Summary of previous papers smni14_eeg_ca.pdf and
smni15_calc_conscious.pdf
smni15_calc_conscious.pdf
%A L. Ingber
%T Calculating consciousness correlates at multiple scales of
neocortical interactions
%B Horizons in Neuroscience Research
%E A. Costa
%E E. Villalba
%I Nova
%C Hauppauge, NY
%D 2015
%P 153-186
%O Invited paper. URL
https://www.ingber.com/smni15_calc_conscious.pdf
smni16_large-scale_molecular.pdf
%A L. Ingber
%T Statistical mechanics of neocortical interactions:
Large-scale EEG influences on molecular processes
%J Journal of Theoretical Biology
%V 395
%P 144-152
%D 2016
%O URL https://www.ingber.com/smni16_large-scale_molecular.pdf
Graphs for data used in this project are in
smni16_large-scale_molecular_EEGgraphs.pdf
Also see SMNI-CODE .
smni16_quantum_path.pdf
%A L. Ingber
%T Path-integral quantum PATHTREE and PATHINT algorithms
%J International Journal of Innovative Research in Information
Security
%V 3
%N 5
%P 1-39
%D 2016
%O URL https://www.ingber.com/path16_quantum_path.pdf
Links path16_quantum_path.pdf with smni16_quantum_path.pdf and
markets16_quantum_path.pdf
smni17_quantum_pathint_shocks.pdf
%A L. Ingber
%T Evolution of regenerative Ca-ion wave-packet in
neuronal-firing fields: Quantum path-integral with serial shocks
%J International Journal of Innovative Research in Information
Security
%V 4
%N 2
%P 14-22
%D 2017
%O URL https://www.ingber.com/path17_quantum_pathint_shocks.pdf
Links path17_quantum_pathint_shocks.pdf with
smni17_quantum_pathint_shocks.pdf and
markets17_quantum_pathint_shocks.pdf
Supplemental Graphs for this project are in
path17_quantum_pathint_shocks_supp.pdf
smni17_qpathint.pdf
%A L. Ingber
%T Quantum Path-Integral qPATHINT Algorithm
%J The Open Cybernetics Systemics Journal
%V 11
%P 119-133
%D 2017
%O URL https://www.ingber.com/path17_qpathint.pdf
Links path17_qpathint.pdf with smni17_qpathint.pdf and
markets17_qpathint.pdf
smni18_qpathint_lecture.pdf
%A L. Ingber
%T Quantum Variables in Finance and Neuroscience
%R Lecture Plates 2018:QVFN
%I Physical Studies Institute
%C Ashland, OR
%D 2018
%O URL https://www.ingber.com/path18_qpathint_lecture.pdf
Links path18_qpathint_lecture.pdf with
smni18_qpathint_lecture.pdf and markets18_qpathint_lecture.pdf
Headers are in color to enable easy identification of
sub-headers, etc. However, a black and white version is
available by request.
smni18_qpathint.pdf
%A L. Ingber
%T Quantum Variables in Finance and Neuroscience II
%R Report 2018:FNQV
%I Physical Studies Institute
%C Ashland, OR
%D 2018
%O URL https://www.ingber.com/path18_qpathint.pdf
Links path18_qpathint.pdf with smni18_qpathint.pdf and
markets18_qpathint.pdf
smni18_MOM.pdf
%A L. Ingber
%T Model of Models (MOM)
%R Report 2018:MOM
%D 2018
%I Physical Studies Institute
%C Ashland, OR
%O URL https://www.ingber.com/smni18_MOM.pdf
Note that a shortened version of this MOM paper is published as
an Editorial in smni19_model-of-models.pdf
smni18_quantumCaEEG.pdf
%A L. Ingber
%T Quantum calcium-ion interactions with EEG
%J Sci
%V 1
%N 7
%P 1-21
%D 2018
%O URL https://www.ingber.com/smni18_quantumCaEEG.pdf and
https://doi.org/10.3390/sci1010020
smni19_ismai.pdf
%A L. Ingber
%T Artificial intelligence, ideas by statistical mechanics, and
affective modulation of information processing
%R Report 2019:AIISM
%D 2019
%I Physical Studies Institute
%C Ashland, OR
%O URL https://www.ingber.com/smni19_ismai.pdf
smni19_model-of-models.pdf
%A L. Ingber
%T Editorial: Model of Models (MOM)
%J Acta Scientific Computer Sciences
%V 2
%N 1
%P 21-22
%D 2019
%O URL https://www.ingber.com/smni19_model-of-models.pdf and
https://www.actascientific.com/ASCS/pdf/quantum-classical-intera
ctions-calcium-ions-and-synchronous-neural-firings.pdf
smni19_quantum-classical.pdf
%A L. Ingber
%T Quantum-Classical interactions: calcium ions and synchronous
neural firings
%J Acta Scientific Computer Sciences
%V 2
%N 1
%P 13-20
%D 2019
%O URL https://www.ingber.com/smni19_quantum-classical.pdf and
https://www.actascientific.com/ASCS/pdf/quantum-classical-intera
ctions-calcium-ions-and-synchronous-neural-firings.pdf
__________________________________________________________________
Lester Ingber
Copyright (c) 1958-2020 Lester Ingber. All Rights Reserved.
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