Nonextensive Entropy, Prior PDFs and Spontaneous Symmetry Breaking
Subject: Physics - Data Analysis, Statistics and Probability | Nonlinear Sciences - Adaptation and Self-Organizing Systems | Condensed Matter - Statistical Mechanics
arxiv: Computer Science::Databases
We show that using nonextensive entropy can lead to spontaneous symmetry breaking when a parameter changes its value from that applicable for a symmetric domain, as in field theory. We give the physical reasons and also show that even for symmetric Dirichlet priors, suc... View more
 C. Tsallis, Possible generalization of Boltzmann-Gibbs statistics, J. Stat.Phys. 52, 479-487 (1988).
 F. Shafee, Lambert function and a new non-extensive form of entropy, IMA Journal of Applied Mathematics 72, 785-800 (2007)
 G. Kaniadakis, Nonlinear kinetics underlying generalized statistics. Physica A 296, 405-425 (2001).
 G. Kaniadakis, Statistical mechanics in the context of special relativity. Phys. Rev. E 66, 056125 (2002).
 I. Nemenman, F. Shafee and W. Bialek, Entropy and Inference, Revisited, in Adv. Neur. Info. Processing 14, eds. T.G. Dietterich, S. Becker and Z. Ghahramani (MIT Press, Cambridge, 2002) pp. 471-478.
 F. Shafee, Generalized Entropy with Clustering and Quantum Entangled States. cond-mat/0410554 (accepted by Chaos, Solitons and Fractals)(2008)
 W. Bialek, C.G. Callan and S.P. Strong, Field theories for learning probability distributions.Phys. Rev. Lett. 77, 4693-4697 (1996)
 D. Wolpert and D. Wolf, Estimating functions of probability distributions from a finite set of samples, Phys. Rev. E, 52, 6841-6854 (1995).
 E.T. Jaynes, Monkeys, Kangaroos, and N, University of Cambridge Physics Dept. Report 1189 (1984).