arXiv physics/07020112007-02physics.class-phcond-mat.stat-mechgr-qcmath-phmath.MPphysics.gen-ph

An Application of Reversible Entropic Dynamics on Curved Statistical Manifolds

Carlo Cafaro, S. A. Ali, Adom Giffin

备注：: Presented at MaxEnt 2006, the 26th International Workshop on Bayesian Inference and Maximum Entropy Methods (July 8-13, 2006, Paris, France). This paper is slightly updated from the published version. This paper consists of 9 pages with 1 figure. Keywords: Inductive inference, information geometry, statistical manifolds, relative entropy
发表信息：: AIP Conf. Proc. 872, 243 (2006)
DOI：: 10.1063/1.2423281

英文摘要：

Entropic Dynamics (ED) is a theoretical framework developed to investigate the possibility that laws of physics reflect laws of inference rather than laws of nature. In this work, a RED (Reversible Entropic Dynamics) model is considered. The geometric structure underlying the curved statistical manifold, M is studied. The trajectories of this particular model are hyperbolic curves (geodesics) on M. Finally, some analysis concerning the stability of these geodesics on M is carried out.

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