DiV: MaxEnt, Informatics, Unfolding, QM, etc...

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Dose Depth, Spectroscopy

  • Faddegon BA, Blevis I. Electron spectra derived from depth dose distributions Med Phys. 2000 Mar;27(3):514-26.
  • Alexei V. Chvetsov and George A. Sandison Reconstruction of electron spectra using singular component decomposition Med. Phys. 29, 578 (2002)
  • Chvetsov AV, Sandison GA Angular correction in reconstruction of electron spectra from depth dose distributions. Med Phys. 2003 Aug;30(8):2155-8.
  • R. Fischer... Enhancement of the energy resolution in ion-beam experimentswith the maximum-entropy method Phys. Rev. E 55, 6667–6673 (1997)
  • Krmar M... A simple method for bremsstrahlung spectra reconstruction from transmission measurements. Med Phys. 2002 Jun;29(6):932-8.
  • Wei J, Sandison GA, Chvetsov AV Reconstruction of electron spectra from depth doses with adaptive regularization. Med Phys. 2006 Feb;33(2):354-9.
  • Dusseau... High energy electron dose-mapping using optically stimulated luminescent films Nuclear Science, Dec. 1999
  • Ezhov, V.V.,... Using of dosimetric film for analysis of energy density distribution of a high-current pulsed electron beam Science and Technology, 2005. KORUS 2005. Proceedings. The 9th Russian-Korean International Symposium
  • E. Breschi, ... A new algorithm for spectral and spatial reconstruction of proton beams from dosimetric measurements Nucl. Instr. and Meth. Phys. Res. A, 2004, Pages 190–195
  • T. Tabata and R. Ito, The Passage of fast electrons through matter: The work at the Radiation Center of Osaka Prefecture and related topics
  • R. K. Batra, M. L. Sehgal Range of electrons and positrons in matter Phys. Rev. B 23, 4448–4454 (1981)
  • T. Vijayan and P. Roychowdhury High Ion-Acceleration by Employing a Low-gamma Intense Electron-Beam IEEE Plasma Physics, 28, DECEMBER 2000
  • L.J. Meng and D. Ramsden An Inter-comparison of Three Spectral-Deconvolution Algorithms for Gamma-ray Spectroscopy IEEE TRANSACTIONS ON NUCLEAR SCIENCE, VOL. 47, NO. 4, AUGUST 2000

Electron Spectrum Reconstruction

  • Alexei V. Chvetsov and George A. Sandison Reconstruction of electron spectra using singular component decomposition Med. Phys. 29, 578 (2002)
  • Robert L. Wolpert; Katja Ickstadt Reflecting uncertainty in inverse problems: A Bayesian solution using Lévy processes Inverse Problems 2004;20(6):1759-1771
  • Wei J, Sandison GA, Chvetsov AV Reconstruction of electron spectra from depth doses with adaptive regularization. Med Phys. 2006 Feb;33(2):354-9.
  • Chvetsov AV, Sandison GA Angular correction in reconstruction of electron spectra from depth dose distributions. Med Phys. 2003 Aug;30(8):2155-8.
  • technical memorandum High energy electron beam energy determination through depth dose distribution June 26, 2002
  • T. Tabata and R. Ito, The Passage of fast electrons through matter: The work at the Radiation Center of Osaka Prefecture and related topics
  • E.T. Jaynes Predictive Statistical Mechanics
  • E.T. Jaynes Information theory and statistical mechanics


Bayesian

  • H. M. Franca, A. Maia, Jr., and C. P. Malta Maxwell Electromagnetic Theory, Planck's Radiation Law, and Bose-Einstein Statistics Foundations... 26, 1996
  • J. Aitchison On Coherence in Parametric Density Estimation Vol. 77, No. 4, Dec., 1990 > On Coherence in Para...
  • Anand G. Dabak , Don H. Johnson Relations between Kullback-Leibler distance and Fisher information (2002)
  • S. Kullback; R. A. Leibler. On Information and Sufficiency The Annals of Mathematical Statistics, Vol. 22, No. 1 (Mar., 1951), 79-86.
  • J. Tersoff and David Bayer Quantum Statistics for Distinguishable Particles Phys. Rev. Lett. 50, 2038–2038 (1983)
  • Shore, J., Johnson, R. Properties of cross-entropy minimization IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. IT-27, NO, 4, JULY
  • Edwin T. Jaynes Prior Probabilities IEEE Transactions On Systems Science and Cybernetics, vol. sec-4, no. 3, 1968, pp. 227-241
  • M. Grendar, Jr., M. Grendar Maximum Probability and Maximum Entropy methods: Bayesian interpretation arXiv:physics/0308005v2 [physics.data-an] 9 Sep 2005
  • R E Nettleton Fisher information as thermodynamic entropy model in a classical fluid 2003 J. Phys. A: Math. Gen. 36 2443
  • Harremoes, P. Binomial and Poisson distributions as maximum entropy distributions IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 47, NO. 5, JULY 2001
  • E. T. Jaynes Information Theory and Statistical Mechanics Phys. Rev. 106, 620–630 (1957)
  • Robert K. Niven Combinatorial Information Theory: I. Philosophical Basis of Cross-Entropy and Entropy arXiv:cond-mat/0512017v5 [cond-mat.stat-mech] 20 Apr 2007
  • Robert L. Wolpert , Katja Ickstadt Reflecting Uncertainty in Inverse Problems: A Bayesian Solution using Lévy Processes INVERSE PROBLEMS 2004 1759--1771
  • ROBERT L. WOLPERT, KATJA ICKSTADT, MARTIN B. HANSEN A Nonparametric Bayesian Approach to Inverse Problems BAYESIAN STATISTICS 7, pp. 000–000 Oxford University Press, 2003
  • Ariel Caticha, Roland Preuss Maximum entropy and Bayesian data analysis: Entropic prior distributions Physical Review E - PHYS REV E , vol. 70, no. 4, 2004
  • R. Fischer, M. Mayer, W. von der Linden, and V. Dose Enhancement of the energy resolution in ion-beam experimentswith the maximum-entropy method Phys. Rev. E 55, 6667–6673 (1997)
  • Fischer, R.; Mayer, M.; von der Linden, W.; Dose, V. Energy resolution enhancement in ion beam experiments with Bayesian probability theory Nuclear Instruments and Methods in Physics Research Section B, Volume 136, Issue 1-4, p. 1140-1145.
  • W. Von der Linden , R. Preuss , V. Dose The Prior-Predictive Value: A Paradigm of Nasty Multi-Dimensional Integrals (1999)
  • R Fischer, W. Von Der Linden, V. Dose Adaptive Kernels And Occam's Razor In Inversion Problems Proceeding of the MaxEnt Conference 1996 South Africa


Informatics

  • Alfredo Luis, Alfonso Rodil Alternative measures of metrological resolution: contradictions and possible lack of limits PACS numbers: 03.65.Ta, 42.50.St, 42.50.Dv, Dated: January 15, 2012
  • Robert E. Kass The Geometry of Asymptotic Inference Statist. Sci. Volume 4, Number 3 (1989), 188-219.
  • Harold Jeffreys An Invariant Form for the Prior Probability in Estimation Problems
  • Bernardo Reference posterior distribution for bayesian inference
  • Sýkora, Stanislav, Quantum theory and the bayesian inference problems, Journal of Statistical Physics, Volume 11, Issue 1, 1974
  • M. Raviculé, M. Casas, and A. Plastino Information and metrics in Hilbert space Phys. Rev. A 55, 1695–1702 (1997)
  • P. W. Lamberti, A. P. Majtey, A. Borras, M. Casas, and A. Plastino Metric character of the quantum Jensen-Shannon divergence Phys. Rev. A 77, 052311 (2008)
  • Samuel L. Braunstein and Carlton M. Caves Statistical distance and the geometry of quantum states Phys. Rev. Lett. 72, 3439–3443 (1994)
  • W. K. Wootters Statistical distance and Hilbert space Phys. Rev. D 23, 357–362 (1981)
  • James O. Berger, Jose M. Bernardo and Dongchu Sun THE FORMAL DEFINITION OF REFERENCE PRIORS The Annals of Statistics 2009, Vol. 37, No. 2, 905–938


Drinking Bird Toy?

  • E. T. Jaynes Note on thermal heating efficiency Am. J. Phys. 71 ~2!, February 2003
  • Richard R. Annis Radioactive Battery 111604 Part one 6th August 1952
  • Ralph Lorenz Finite-time thermodynamics of an instrumented drinking bird toy Am. J. Phys. 74 (8), August 2006
  • E. T. Jaynes The Second Law as Physical Fact and as Human Inference


Probability Distance?

  • Anand G. Dabak , Don H. Johnson Relations between Kullback-Leibler distance and Fisher information (2002)
  • Jianhua Lin, Divergence Measures Based on the Shannon Entropy IEEE TRANSACTIONS ON INFORMATION THEORY. VOL. 37, NO. I , JANUARY 1991
  • S.M. Ali and D. Silvey. A general class of coefficients of divergence of one distribution from another. J. Roy. Stat. Soc., Ser. B, 28: 131–142, 1966.


unnamed folder

  • Tommaso Toffoli, How much of physics is just computation?, Superlattices and Microstructures, 23, 381-406 (1998)
  • Norman Margolus, Lev B. Levitin The maximum speed of dynamical evolution Physica D 120 (1998) 188-195


MaxEnt Unfolding

  • E.T. jaynes Prior information and ambiguity in inverse problem SIAM-AMS Proceeding V14 1984
  • S.F. Gull and J. Skilling, Maximum Entropy Image Reconstruction: General Algorithm, Monthly Notices of the Royal Astronomical Society, Vol. 211, NO.1, P. 111, 1984
  • S.F. Gull and J. Skilling, Maximum entropy method in image processing', IEE PROCEEDINGS, Vol. 131, Pt. F, No. 6, OCTOBER 1984
  • J. M. Borwein, A. S. Lewis and D. Noll Maximum Entropy Reconstruction Using Derivative Information, Part 1: Fisher Information and Convex Duality
  • J. M. Borwein , A. S. Lewis , M. N. Limber , D. Noll Maximum Entropy Spectral Analysis Using Derivative Information Part 2: Computational Results
  • FRÖHNER F. H. Assigning uncertainties to scientific data
  • K. Zarb Adami Variational Methods in Bayesian Deconvolution PHYSTAT2003, SLAC, Stanford, California, September 8-11, 2003
  • Marcel Reginattoa, Paul Goldhagena, Sonja Neumannb, Spectrum unfolding, sensitivity analysis and propagation of uncertainties with the maximum entropy dec*Shore, J., Johnson, R. Properties of cross-entropy minimization IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. IT-27, NO, 4, JULYonvolution code MAXED Nuclear Instruments and Methods in Physics Research Section A, Volume 476, Issues 1–2, 1 January 2002, PageAIP Conf. Proc. 954, pp. 39-46s 242–246
  • G. D'Agostini Improved iterative Bayesian unfolding arXiv:1010.0632v1 [physics.data-an] 4 Oct 2010
  • A. Mohammad-Djafari, Jérôme Idier A scale invariant Bayesian method to solve linear inverse problems arXiv:physics/0111125v1 [physics.data-an] 14 Nov 2001
  • Shikoh ITOH & Toshiharu TSUNODA Neutron Spectra Unfolding with Maximum Entropy and Maximum Likelihood Journal of Nuclear Science and Technology Volume 26, Issue 9, 1989
  • Yuan Qi, Thomas P. Minka, and Rosalind W. Picard Bayesian Spectrum Estimation of Unevenly Sampled Nonstationary Data EDICS: 2-TIFR, 2-SPEC
  • Aristidis C. Likas and Nikolas P. Galatsanos A Variational Approach for Bayesian Blind Image Deconvolution 2222 IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 52, NO. 8, AUGUST 2004
  • U. Gerhardt, S. Marquardt, N. Schroeder, S. Weiss Bayesian deconvolution and analysis of photoelectron or any other spectra: Fermi-liquid versus marginal Fermi-liquid behavior of the 3d electrons in Ni Phys. Rev. B » Volume 58 » Issue 11
  • Jose M. Bioucas-Dias, Mario A. T. Figueiredo, and Joao P. Oliveira ADAPTIVE TOTAL VARIATION IMAGE DECONVOLUTION: A MAJORIZATION-MINIMIZATION APPROACH
  • Satoh, T., Matsui, A., Hirohata, T., Matsumoto, T. A hierarchical Bayesian deconvolution with positivity constraints 0-7803-5871-6/99/$10.00 1999 IEEE
  • Georgios Choudalakis Fully Bayesian Unfolding


MaxEnt, Bayesian, Probability, I

  • Cox, R. T. Probability, Frequency and Reasonable Expectation American Journal of Physics, Volume 14, Issue 1, pp. 1-13 (1946)
  • Alfréd Rényi, On Measures of Entropy and Information Proc. Fourth Berkeley Symp. on Math. Statist. and Prob., Vol. 1 (Univ. of Calif. Press, 1961), 547-561.
  • CLAUDE E. SHANNON, Communication in the Presence of Noise, PROCEEDINGS OF THE IEEE, VOL. 86, NO. 2, FEBRUARY 1998 447
  • Jaynes, E. T., The Minimum Entropy Production Principle, Ann. Rev. Phys. Chem. 31, 579, 1980
  • Jaynes, E. T., Macroscopic Prediction, in Complex Systems - Operational Approaches, H. Haken (ed.), Springer-Verlag, Berlin, p. 254, 1985
  • Jaynes, E. T., Probability in Quantum Theory, in Complexity, Entropy, and the Physics of Information, W. H. Zurek (ed.), Addison-Wesley, Redwood City, CA, p. 381, 1990
  • Ariel Caticha, From Inference to Physics, Presented at MaxEnt 2008, the 28th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering (July 8-13, 2008, Boraceia Beach, Sao Paulo, Brazil)
  • Ariel Caticha, Entropic Dynamics, Presented at MaxEnt 2001, the 21th International Workshop on Bayesian Inference and Maximum Entropy Methods (August 4-9, 2001, Baltimore, MD, USA)
  • Ariel Caticha, Updating Probabilities, Presented at MaxEnt 2006, the 26th International Workshop on Bayesian Inference and Maximum Entropy Methods (July 8-13, 2006, Paris, France)
  • Ariel Caticha, Relative Entropy and Inductive Inference, Presented at MaxEnt23, the 23rd International Workshop on Bayesian Inference and Maximum Entropy Methods (August 3-8, 2003, Jackson Hole, WY, USA)
  • John Skilling Probability and Geometry AIP Conf. Proc. 954, pp. 39-46
  • Skilling, John, The Canvas of Rationality, BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING: Proceedings of the 28th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering. AIP Conference Proceedings, Volume 1073, pp. 67-79 (2008).
  • Sýkora, Stanislav, Quantum theory and the bayesian inference problems, Journal of Statistical Physics, Volume 11, Issue 1, 1974
  • Shore, J., Johnson, R. Axiomatic Derivation of the Principle of Maximum Entropy and the Principle of Minimum Cross-Entropy

IEEE TRANSACTlIONS ON lNFORMATION THEORY, VOL. m26, NO. 1, JANUARY 1980

  • Shore, J., Johnson, R. Properties of cross-entropy minimization IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. IT-27, NO, 4, JULY
  • Kevin H. Knuth, John Skilling, Foundations of Inference, Axioms 2012, 1(1):38-73
  • Kevin H. Knuth, The Origin of Probability and Entropy, Bayesian inference and Maximum Entropy Methods in Science and Engineering, Sao Paulo, Brazil, 2008
  • Y. Tikochinsky, Feynman Rules for Probability Amplitudes, International Journal of Theoretical Physics, Vol. 27, No. 5, 1988
  • Y. Tikochinsky*, N. Z. Tishby*, and R. D. Levine ,Consistent Inference of Probabilities for Reproducible Experiments, Phys. Rev. Lett. 52, 1357–J. M. Borwein, A. S. Lewis and D. Noll1360 (1984)
  • P. Ván Unique additive information measures - Boltzmann-Gibbs-Shannon, Fisher and beyond Physica A, 2006, V365, p28-33
  • Jos Uffink, The Constraint Rule of the Maximum Entropy Principle, Studies of the History and Philosophy of Modern Physics, 27, 47-49, 1996
  • Jos Uffink, Can the Maximum Entropy Principle Be Explained as a Consistency Requirement?, Stud.Hist.Phil.Mod.Phys. 26, 223-261, 1995
  • Tommaso Toffoli, How much of physics is just computation?, Superlattices and Microstructures, 23, 381-406 (1998)
  • Tommaso Toffoli, Action, Or the Fungibility of Computation, Feynman and Computation, 349-392 (1999)
  • Tommaso Toffoli, Occam, Turing, von Neumann, Jaynes: How much can you get for how little?, proceedings of the conference ACRI '94: Automi Cellulari per la Ricerca e l'Industria, Rende (CS), Italy, September 29--30, 1994
  • Plastino, A.; Plastino, A. R., On the universality of thermodynamics' Legendre transform structure, Physics Letters A 226 (1997) 257-263
  • A. Plastino, E. M. F. Curado, Equivalence between maximum entropy principle and enforcing dU=TdS, Phys. Rev. E 72, 047103 (2005)
  • A. Plastino, A. R. Plastino, B H Soffer, Fisher information and thermodynamics' 1st. law, arXiv:cond- mat/0509697 v2 28 Sep 2005
  • F. Pennini, A. Plastino, Heisenberg-Fisher thermal uncertainty measure, Phys. Rev. E 69, 057101 (2004)
  • F. Pennini and A. Plastino, Reciprocity relations between ordinary temperature and the Frieden-Soffer Fisher temperature, Phys. Rev. E 71, 047102 (2005)
  • A. Hernando, A. Plastino, A. R. Plastino, MaxEnt and dynamical information, arXiv:1201.0889v1 [physics.data-an] 4 Jan 2012
  • Michael E. Fisher Solution of a Combinatorial Problem—Intermediate Statistics American Journal of Physics -- January 1962 -- Volume 30, Issue 1, pp. 49
  • B. Roy Frieden and Bernard H. Soffer Lagrangians of physics and the game of Fisher-information transfer Phys. Rev. E 52, 6917–6917 (1995)
  • Humphrey J. Maris and Leo P. Kadanoff Teaching the renormalization group American Journal of Physics -- June 1978 -- Volume 46, Issue 6, pp. 652
  • W. K. Wootters Statistical distance and Hilbert space Phys. Rev. D 23, 357–362 (1981)
  • Kurt Wiesenfeld Resource Letter: ScL-1: Scaling laws American Journal of Physics -- September 2001 -- Volume 69, Issue 9, pp. 938
  • V Dose Bayesian inference in physics: case studies 2003 Rep. Prog. Phys. 66 1421
  • Anand G. Dabak , Don H. Johnson Relations between Kullback-Leibler distance and Fisher information (2002)


MaxEnt, Bayesian, Probability, II

  • Sattin, F. Bayesian approach to superstatistics European Physical Journal B -- Condensed Matter;Jan2006, Vol. 49 Issue 2, p219
  • Oliver Johnson A conditional Entropy Power Inequality for dependent variables IEEE Transactions on Information Theory, Vol 50/8, 2004, p. 1581-1583
  • M. Grendar, Jr., M. Grendar Maximum Probability and Maximum Entropy methods: Bayesian interpretation AIP (Melville), 490-494, 2004
  • Ekrem Aydiner, Cenk Orta, Ramazan Sever Quantum information entropies of the eigenstates of the Morse potential Int. J. Mod. Phys. B Vol 22 (2008) 231
  • Robert K. Niven Exact Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac Statistics Physics Letters A, 13/5/05
  • A. M. C. Souza, C. Tsallis Stability of the entropy for superstatistics Physics Letters A 319, 273 (2003)
  • S N Karbelkar On the axiomatic approach to the maximum entropy principle of inference Pramana April 1986, Volume 26, Issue 4, pp 301-310
  • Garrett, Anthony J. M. Maximum entropy from the laws of probability AIP Conference Proceedings; 2001, Vol. 568 Issue 1, p3
  • A. G. Bashkirov Renyi entropy as a statistical entropy for complex systems Theoretical and Mathematical Physics, November 2006, Volume 149, Issue 2, pp 1559-1573
  • Marco Masi Generalized information-entropy measures and Fisher information
  • Manfred Jaeger Measure selection: Notions of rationality and representation independence (1998) Proceedings of the 14th conference on Uncertainty in Artificial Intelligence
  • L Velazquez Fluctuation geometry: A counterpart approach of inference geometry
  • Peter Beerli Comparison of Bayesian and maximum-likelihood inference of population genetic parameters
  • W. Von , W. von der Linden , R. Preuss , V. Dose The Prior-Predictive Value: A Paradigm of Nasty Multi-Dimensional Integrals (1999)
  • Magni, P., Bellazzi, R. ; De Nicolao, G., Bayesian function learning using MCMC methods
  • John Archibald Wheeler ‘‘On recognizing ‘law without law,’ ’’ Oersted Medal Response at the joint APS–AAPT Meeting, New York, 25 January 1983
  • Brillouin, L. The Negentropy Principle of Information
  • L. Brillouin Maxwell's Demon Cannot Operate: Information and Entropy. I J. Appl. Phys. 22, 334 (1951)
  • Marcel Reginatto Derivation of the equations of nonrelativistic quantum mechanics using the principle of minimum Fisher information Phys. Rev. A 58, 1775–1778 (1998)
  • Takuya Yamano On the robust thermodynamical structures against arbitrary entropy form and energy mean value
  • Lucy, L. B. An iterative technique for the rectification of observed distributions Astronomical Journal, Vol. 79, p. 745 (1974)
  • Mendes, R. S. Some general relations in arbitrary thermostatistics Physica A, Volume 242, Issue 1-2, p. 299-308.
  • R E Nettleton Fisher and Jaynesian statistics compared in the description of classical fluids Journal of Physics A: Mathematical and General Volume 35 Number 2
  • Piotr Garbaczewski Entropy methods in random motion Acta Phys. Pol. B 37, 1503-1520, (2006)
  • Samuel L. Braunstein and Carlton M. Caves Statistical distance and the geometry of quantum states Phys. Rev. Lett. 72, 3439–3443 (1994)
  • Pöschel T, Ebeling W, Frömmel C, Ramírez R. Correction algorithm for finite sample statistics. Eur Phys J E Soft Matter. 2003 Dec;12(4):531-41.
  • Don H. Johnson and Sinan Sinanovi´c Symmetrizing the Kullback-Leibler distance
  • Sinan Sinanović , Don H. Johnson Toward a theory of information processing Signal Processing Volume 87, Issue 6, June 2007, Pages 1326–1344
  • S.M. Ali and D. Silvey. A general class of coefficients of divergence of one distribution from another. J. Roy. Stat. Soc., Ser. B, 28: 131–142, 1966.
  • By H. Haken Application of the Maximum Entropy Principle to Nonlinear Systems Far from Equilibrium
  • S. Ciulli1, M. Mounsif, N. Gorman, and T. D. Spearman On the application of maximum entropy to the moments problem J. Math. Phys. 32, 1717 (1991)


MaxEnt, Bayesian, Probability, III

  • Dr V. Dimitrov some notes 14 pages
  • R N Silver Quantum Statistical Inference Workshop on Physics and Computation (1992) Volume: 65, Issue: 4
  • Alexis Akira Toda Unification of Maximum Entropy and Bayesian Inference via Plausible Reasoning IEEE Transactions on Information Theory on March 8, 2011
  • John C. Baez, Tobias Fritz, Tom Leinster A Characterization of Entropy in Terms of Information Loss Entropy 2011, 13(11), 1945-1957
  • Petr Jizba, Toshihico Arimitsu The world according to Renyi: Thermodynamics of multifractal systems Annals Phys. 312 (2004) 17-57
  • Imre Csiszár Axiomatic Characterizations of Information Measures Entropy 2008, 10, 261-273
  • B.Lesche Renyi entropies and observables
  • Abe S. Stability of Tsallis entropy and instabilities of Rényi and normalized Tsallis entropies: a basis for q-exponential distributions. Phys Rev E 2002 Oct; 66
  • Jizba P, Arimitsu T. Observability of Rényi's entropy. Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Feb; 69
  • Paul Snow. Inference using conditional probabilities despite prior ignorance. IEEE Transactions on Systems, Man, and Cybernetics, Part A 26(3):349-360 (1996)
  • Trevor W. Marshall Nonlocality - The party may be over
  • Trevor Marshall, Emilio Santos Stochastic optics: A reaffirmation of the wave nature of light Foundations of Physics February 1988, Volume 18, Issue 2, pp 185-223
  • Choice of Priors for Low-dimensional Parameters
  • Piero G. Luca Mana Consistency of the Shannon entropy in quantum experiments Phys. Rev. A 69, 062108 (2004)
  • R E Nettleton Fisher and Jaynesian statistics compared in the description of classical fluids 2002 J. Phys. A: Math. Gen. 35 295
  • G D'Agostini Bayesian inference in processing experimental data: principles and basic applications 2003 Rep. Prog. Phys. 66 1383
  • Arthur Baraov The exchange paradox: a misapplication of the principle of indifference
  • B. Roy Frieden, B. H. Soffer A CRITICAL COMPARISON OF THREE INFORMATION-BASED APPROACHES TO PHYSICS Found. Phys. Let. 2000, Volume 13
  • Luc Demortier, Supriya Jain, Harrison B. Prosper Reference priors for high energy physics Phys.Rev.D82:034002,2010
  • chapter 4 Uniqueness of fisher metric printout

QM

R N Silver Quantum Statistical Inference Workshop on Physics and Computation (1992) Volume: 65, Issue: 4

  • Igor Vajda On Convergence of Information Contained in Quantized Observations IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 48, NO. 8, AUGUST 2002
  • David S. Weiss, Brenton C. Young, and Steven Chu Precision measurement of the photon recoil of an atom using atomic interferometry Phys. Rev. Lett. 70, 2706–2709 (1993)
  • Z. Haba, H. Kleinert, Schrödinger wave functions from classical trajectories Physics Letters A Volume 294, Issues 3–4, 25 February 2002, Pages 139–142
  • Piotr Garbaczewski Relativistic problem of random flights and Nelson's stochastic mechanics Physics Letters A Volume 164, Issue 1, 6 April 1992, Pages 6–16
  • John S. Bell On the Einstein Podolsky Rosen paradox
  • A.F. KRACKLAUER, La “théorie” de Bell est-elle la plus grande méprise de l’histoire de la physique? Ann. Fond. Louis de Broglie, Vol. 25, n°2, 2000.
  • L. Fortunato, S. De Baerdemacker, K. Heyde Solution of the Bohr hamiltonian for soft triaxial nuclei Phys.Rev. C74 (2006) 014310
  • C. P. Malta, Trevor S. Marshall , Emilio Santos Wigner density of a rigid rotator Phys. Rev. E 55, 2551–2556 (1997)
  • A. Garrett Lisi Quantum mechanics from a universal action reservoir arXiv:physics/0605068v1 [physics.pop-ph] 8 May 2006
  • B. Holdom Approaching quantum behavior with classical fields J.Phys.A39:7485,2006
  • Arthur Davidson Re-Thinking Schrodinger Boundary Conditions: The Simple Rotator is Not Simple
  • R. Gurtler and D. Hestenes Consistency in the formulation of the Dirac, Pauli, and Schrödinger theories J. Math. Phys. 16, 573 (1975)
  • M. Ibison, B. Haisch Quantum and classical statistics of the electromagnetic zero-point field Phys. Rev. A, vol. 54, pp. 2737-2744 (1996)
  • Michael J. W. Hall, Marcel Reginatto Schrodinger equation from an exact uncertainty principle J. Phys. A 35 (2002)
  • Peter Ván and Tamás Fülöp Weakly non-local fluid mechanics: the Schrödinger equation Proc. R. Soc. A 2006 462
  • J. V. Corbetta and C. A. Hurst Are wave functions uniquely determined by their position and momentum distributions? J. Aust. Math. Soc. B, 20, 1977
  • R. P. Feynman Space-Time Approach to Non-Relativistic Quantum Mechanics Rev. Mod. Phys. 20, 367–387 (1948)
  • J. C. Aron Quantum Laws in Connection with Stochastic Processes Prog. Theor. Phys. Vol. 33 No. 4 (1965) pp. 726-754
  • C. Wetterich Quantum particles from coarse grained classical probabilities in phase space arXiv:1003.3351
  • Solution of inhomogeneous wave equation printout 6 pages
  • Integral scattering equation for stationary states printout 4 pages
  • Wave-functions... printout 6 pages
  • Eigenfunctions printout 4 pages

Random Walk, Relativistic Diffusion, Rotation

  • Guth, Eugene New Class of Classical Uncertainty Relations Giving Uncertainty for Long and Certainty for Short Times Phys. Rev. 126, 1213–1215 (1962)
  • Joseph B. Keller Diffusion at finite speed and random walks PNAS Feb 3, 2004, vol. 101 no. 5
  • EUGENE C. ... THE MATHEMATICS OF SUSPENSIONS: KAC WALKS AND ASYMPTOTIC ANALYTICITY Published July 10, 2000.
  • Peter Kostädt and Mario Liu Causality and stability of the relativistic diffusion equation Phys. Rev. D 62, 023003 (2000)
  • Peter Kostädt and Mario Liu On the Causality and Stability of the Relativistic Diffusion Equation Phys. Rev. D 62, 023003 (2000)
  • Josep M. Porra ... When the telegrapher's equation furnishes a better approximation to the transport equation than the diffusion approximation Phys. Rev. E 55 (1997)
  • J Almaguer and H Larralde A relativistically covariant random walk J. Stat. Mech. (2007) P08019
  • Jaume Masoliver and George H Weiss Finite-velocity diffusion 1996 Eur. J. Phys. 17 190
  • E. Orsingher, A. De Gregorio Random Flights in Higher Spaces J Theor Prob, December 2007, Volume 20, Issue 4, pp 769-806
  • Stadje, Wolfgang Exact probability distributions for noncorrelated random walk models J Statist Physics, Volume 56, Issue 3-4, pp. 415-435
  • V Balakrishnan and S Lakshmibala On the connection between biased dichotomous diffusion and the one-dimensional Dirac equation 2005 New J. Phys. 7 11
  • Jen-Tsung Hsiang, Tai-Hung Wu, Da-Shin Lee Brownian motion of a charged particle in electromagnetic fluctuations at finite temperature
  • Yuxing Ben (and Martin Z. Bazant) Lecture 24: Non-Markovian Diffusion Equations
  • H. A. KRAMERS BROWNIAN MOTION IN A FIELD OF FORCE AND THE DIFFUSION MODEL OF CHEMICAL REACTIONS Physica VII, 4, April, 1940
  • Don C. Kelly Diffusion: A Relativistic Appraisal American Journal of Physics -- July 1968 -- Volume 36, Issue 7, pp. 585
  • Dudley, R. M. Lorentz-invariant Markov processes in relativistic phase space Arkiv fü Matematik, Volume 6, Issue 3, pp.241-268, 1966
  • Jörn Dunkel*, Peter Talkner, and Peter Hänggi Relativistic diffusion processes and random walk models Phys. Rev. D 75, 043001 (2007)
  • Jörn Dunkel, Peter Hänggi Relativistic Brownian Motion Phys. Rep. 471(1): 1-73, 2009
  • Joachim Herrmann Diffusion in the special theory of relativity arXiv:0903.0751
  • Z. Haba Relativistic diffusion Phys. Rev. E 79, 021128 (2009)
  • Z. Haba Relativistic diffusive motion in random electromagnetic fields J.Phys. A44 (2011)
  • Gregory Ryskin Brownian Motion in a Rotating Fluid: Diffusivity is a Function of the Rotation Rate Phys. Rev. Lett. 61, 1442–1445 (1988)
  • G. W. Ford, J. T. Lewis, and J. McConnell Rotational Brownian motion of an asymmetric top Phys. Rev. A 19, 907–919 (1979)
  • R. F. O'Connell Stochastic Methods in Atomic Systems and QED Can.J.Phys.87,1-5 (2009)
  • R. T. Cox Brownian Motion in the Theory of Irreversible Processes Rev. Mod. Phys. 24, 312–320 (1952)

EM, Fields, Radiation

  • E. T. Jaynes Survey of the Present Status of Neoclassical Radiation Theory Coherence and Quantum Optics, 1973, pp 35-81
  • Antony Valentini Resolution of Causality Violation in the Classical Radiation Reaction Phys. Rev. Lett. 61, 1903–1905 (1988)
  • Yu.A.Rylov Pauli's Electron as a Dynamic System Foundations of Physics, July 1995, Volume 25, Issue 7, pp 1055-1086
  • K. R. Greider A unifying Clifford algebra formalism for relativistic fields Foundations of Physics, June 1984, Volume 14, Issue 6, pp 467-506
  • J. Avendaño, L. de la Peña, Reordering of the ridge patterns of a stochastic electromagnetic field by diffraction due to an ideal slit Phys. Rev. E 72, 066605 (2005)
  • Massimo Marino Classical electrodynamics of point charges Annals Phys. 301 (2002) 85-127
  • Andre Gsponer Distributions in spherical coordinates with applications to classical electrodynamics Eur. J. Phys. 28 (2007) 267–275
  • Michael Ibison Are Advanced Potentials Anomalous?


Other

  • Paul S. Wesson Fundamental Unsolved Problems in Astrophysics Space Science Reviews, August 2001, Volume 98, Issue 3-4, pp 329-342
  • Hannes Alfven Cosmology: Myth or Science? J. Astrophys. Astr. (1984) 5, 79–98
  • How to teach special relativity printout
  • T. Fulton, F. Rohrlich, L. Witten Conformal Invariance in Physics Rev. Mod. Phys. 34, 442–457 (1962)
  • Timothy H. Boyer Blackbody Radiation, Conformal Symmetry, and the Mismatch Between Classical Mechanics and Electromagnetism J. Phys. A: Math. Gen. 38, 1807-1821 (2005)
  • Giovanni Salesi Non-Newtonian Mechanics Int.J.Mod.Phys.A17:347-374,2002
  • P. Lancon, G. Batrouni, L. Lobry, N. Ostrowsky Drift without flux: Brownian walker with a space dependent diffusion coefficient
  • Н.А.КОЗЫРЕВ ОБ ИССЛЕДОВАНИЯХ ФИЗИЧЕСКИХ СВОЙСТВ ВРЕМЕНИ
  • H J Hrgovcic Discrete representations of the n-dimensional wave equation 1992 J. Phys. A: Math. Gen. 25 1329
  • Kwok Sau Fa Fokker-Planck equation with variable diffusion coefficient in the Stratonovich approach arXiv:cond-mat/0503331v2 [cond-mat.soft] 15 Mar 2005
  • E. Comay Theoretical Errors in Contemporary Physics Apeiron, Vol. 13, No. 2, April 2006
  • Jason Semitecolos Describing the Patterns of Nature: Information and the Structure of Physical Theories arXiv:quant-ph/0212080
  • Andre Gsponer The locally-conserved current density of the Lienard-Wiechert field arXiv:physics/0612090
  • Thomas E. Phipps, Jr. Observations of the Marinov Motor APEIRON Vol. 5 Nr.3-4, July-October 1998
  • chapter 14 Basic Radiobiology
  • tutorial 1 Introduction to ion range doses and damage
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