The geometric structures and instability of entropic dynamical models

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

*この研究の対応する著者

研究成果: Article査読

23 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)459-471
ページ数13
ジャーナルAdvances in Mathematics
227
1
DOI
出版ステータスPublished - 2011 5 1
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

フィンガープリント

「The geometric structures and instability of entropic dynamical models」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル