The geometric structures and instability of entropic dynamical models

Linyu Peng; Huafei Sun; Dandi Sun; Jin Yi

doi:10.1016/j.aim.2011.02.002

The geometric structures and instability of entropic dynamical models

Linyu Peng^*, Huafei Sun, Dandi Sun, Jin Yi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	459-471
Number of pages	13
Journal	Advances in Mathematics
Volume	227
Issue number	1
DOIs	https://doi.org/10.1016/j.aim.2011.02.002
Publication status	Published - 2011 May 1
Externally published	Yes

Keywords

Geodesic
Information geometry
Jacobi field
Scalar curvature
Statistical manifold

ASJC Scopus subject areas

Mathematics(all)

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10.1016/j.aim.2011.02.002

Cite this

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abstract = "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.",

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author = "Linyu Peng and Huafei Sun and Dandi Sun and Jin Yi",

year = "2011",

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AU - Peng, Linyu

AU - Sun, Huafei

AU - Sun, Dandi

AU - Yi, Jin

PY - 2011/5/1

Y1 - 2011/5/1

N2 - 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.

AB - 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.

KW - Geodesic

KW - Information geometry

KW - Jacobi field

KW - Scalar curvature

KW - Statistical manifold

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JO - Advances in Mathematics

JF - Advances in Mathematics

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ER -

The geometric structures and instability of entropic dynamical models

Abstract

Keywords

ASJC Scopus subject areas

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