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Fisher Information, a New Paradigm of Science [1a-c] : Introduction, Wave Equations, the Cooperative Universe and Related Views of Kant, Plato and Wheeler B. Roy Frieden, Ph. D., Professor Emeritus Optical Sciences Center, Univ. of Arizona roy.frieden@optics.arizona.edu
Section 8: References and Recent Papers References
[1a] B.R. Frieden, "Physics from Fisher Information: a Unification" (Cambridge Univ. Press, 1998); [1b] 2nd ed. "Science from Fisher Information" (Cambridge Univ. Press, 2004). [1c] B.R. Frieden and R.A. Gatenby, eds. "Exploratory Data Analysis using Fisher Information" (Springer-Verlag, 2007) [2] H.L. Van Trees, "Detection, Estimation and Modulation Theory, Part I" (Wiley, N.Y., 1968) [3] B.R. Frieden, "Fisher information, disorder, and the equilibrium distributions of physics," Phys. Rev. A 41, 4265-4276 (1990) http://prola.aps.org/pdf/PRA/v41/i8/p4265_1 [4] A.R. and A. Plastino, Phys. Rev. E 54, p. 4423 (1996) [5] I. Kant, "Critique of Pure Reason", English translation (Willey Book Co., N.Y., 1900) of original German version of 1787. [6] E. Wigner, "The unreasonable effectiveness of mathematics in the natural sciences," Comm. in Pure and Appl. Math 13 (Wiley, N.Y., 1960) [7] B.R. Frieden and B.H. Soffer, "Lagrangians of physics and the game of Fisher-information transfer," Phys. Rev. E 52, 2274-2286 (1995) http://prola.aps.org/pdf/PRE/v52/i3/p2274_1 [8] J.A. Wheeler, in "Proc. of 3rd Intl. Symp. on Founds. of Quantum Mechanics," eds. S. Kobayashi et al., p. 354 (Physical Society of Japan, Tokyo, 1990); in "Physical Origins of Time Asymmetry," eds. J.J. Halliwell et al., pp. 1-29 (Cambridge Univ. Press, 1994) [9] D. Bohm and B.J. Hiley, "The Undivided Universe" (Routledge, London, 1993) [10] B.R. Frieden, "Probability, Statistical Optics and Data Testing, 3rd ed." (Springer-Verlag, New York, 2001) [11] H. Cabezas, IESP Seminar "Environmental Systems Management and Sustainability Theory" (2003); also B. Fath, H. Cabezas and C. Pawlowski, "Regime changes in ecological systems: an information theory approach", J. Theor. Biol. 222, 517 (2003) [12] S.W. Hawking, "A Brief History of Time" (Bantam, Toronto, 1988) [13] S. Thomas, Phys. Rev. Lett. 89, 081301 (2002) [14] M. Tegmark, "On the dimensionality of spacetime," Class. Quantum Grav. 14, L69 (1997) [15] W. Yourgrau and S. Mandelstam, "Variational principles in dynamics and quantum theory", pgs. 163-167, 177 (Dover, N.Y., 1979) [16] J.R. Ray, "Lagrangians and systems they describe -- how not to treat dissipation in quantum mechanics," Am. J. Phys. 47, 626 (1979) [17] H. Goldstein, "Classical Mechanics," Sec. 7-5, p. 228 (Addison-Wesley, Cambridge, Mass., 1950) Recent Papers· B.R. Frieden and B.H. Soffer, "Information-theoretic significance of the Wigner distribution," Phys. Rev. A 74, 052108, 1-8 (2006) · B.R. Frieden and R.A. Gatenby, "Power laws of complex systems from extreme physical information," Phys. Rev. E 72, 036101, 1-10 (2005) · R.J. Hawkins, B.R. Frieden and J. L. D'Anna, "Ab initio yield curve dynamics," Phys. Lett A 344, 317-323 (2005) · R.A. Gatenby and B.R. Frieden, "The role of non-genomic information in maintaining thermodynamic stability in living systems", Math. Biosci. & Eng. 2, 43-51 (2005) · M. Yolles and B.R. Frieden, J. Organizational Transf. & Social Change 2, "A metahistorical information theory of social change: the theory," 29-62; "an application," 63-77 (2005) · R.A. Gatenby and B.R. Frieden, "Information dynamics in carcinogenesis and tumor growth", Mutat. Res. 568, 259-273 (2004) · R..J. Hawkins and B.R. Frieden, “Fisher information and equilibrium distributions in econophysics,” Phys. Lett. A 322, 126 (2004) · S.P. Flego, B.R. Frieden, A. and A.R. Plastino, B.H. Soffer, “Nonequilibrium thermodynamics and Fisher information: Sound wave propagation in a dilute gas,” Phys. Rev. E 68, 016105 (2003) http://prola.aps.org/pdf/PRE/v68/i1/e016105 · B.R. Frieden, “Probability and Statistics,” in Optical Engineer’s Desk Reference, ed. W.L. Wolfe (Optical Society of America, Washington, D.C., 2003) · B.R. Frieden, A. Plastino and B.H. Soffer, "A Schroedinger Link Between Non-equilibrium Thermodynamics and Fisher information", Phys. Rev. E 66, 046128 (2002). http://prola.aps.org/pdf/PRE/v66/i4/e046128 · B.R. Frieden and B.H. Soffer, "Black Holes and Optimum Coding", Phys. Lett. A 304, 4 Nov., 1 (2002). · B.R. Frieden, "Relations Between Parameters of a Decoherent System and Fisher Information", Phys. Rev. A 66, 022107 (2002). http://prola.aps.org/pdf/PRA/v66/i2/e022107 · R.A. Gatenby and B.R. Frieden, "Application of Information Theory and Extreme Physical Information to Carcinogenesis," Cancer Research 62, 4675 (2002). http://cancerres.aacrjournals.org/cgi/reprint/62/13/3675?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=& author1=Gatenby%2C+R&author2=Frieden%2CB&searchid=1&FIRSTINDEX=0&volume=62&resourcetype=HWCIT · B.R. Frieden, A. Plastino and B.H. Soffer, "Population Genetics from an Information Perspective," J. Theor. Biol. 208, 49 (2001) · B.R. Frieden and A. Plastino, "Higgs Mass Generation from the Standpoint of Information," Phys. Lett. A 278, 299 (2001). · B.R. Frieden and A. Plastino, "Alternative Classical Trajectories Compatible with Quantum Mechanics," Phys. Lett. A 287, 325 (2001). · B.R. Frieden and A. Plastino, "Composite Fermion Particles and Fisher Information," Phys. Lett. A 272,326 (2000). |
Last updated 05/10/2007