The geometric structures and instability of entropic dynamical models

被引：26

作者：

Peng, Linyu ^{[1
]}

Sun, Huafei ^{[2
]}

Sun, Dandi ^{[2
]}

Yi, Jin ^{[3
]}

机构：

[1] Univ Surrey, Dept Math, Guildford GU2 7XH, Surrey, England

[2] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

[3] Lehigh Univ, Dept Math, Bethlehem, PA 18015 USA

来源：

ADVANCES IN MATHEMATICS | 2011年 / 227卷 / 01期

关键词：

Information geometry; Statistical manifold; Scalar curvature; Geodesic; Jacobi field;

D O I：

10.1016/j.aim.2011.02.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we characterize two entropic dynamical (ED) models from the viewpoint of information geometry and give the geometric structures of the associated statistical manifolds of the models. The scalar curvatures and the geodesics are obtained. Also the instability of entropic dynamical models is studied from the behavior of the geodesics lengths, statistical volume elements and Jacobi vector fields. Crown Copyright (C) 2011 Published by Elsevier Inc. All rights reserved.

引用

页码：459 / 471

页数：13

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