Lower Bound for the Coarse Ricci Curvature of Continuous-Time Pure-Jump Processes

被引：3

作者：

Villemonais, Denis ^{[1
,2
]}

机构：

[1] Univ Lorraine, IECL, Campus Sci,BP 70239, Vandoeuvre Les Nancy 54506, France

[2] Inria, TOSCA Team, Villers Les Nancy 54600, France

来源：

JOURNAL OF THEORETICAL PROBABILITY | 2020年 / 33卷 / 02期

关键词：

Coarse Ricci curvature; Interacting particles system; Pure-jump processes; QUASI-STATIONARY DISTRIBUTIONS; MARKOV-PROCESSES; INEQUALITIES; DISTANCE; ENTROPY; CONVERGENCE; ERGODICITY; COUPLINGS; SYSTEMS;

D O I：

10.1007/s10959-019-00918-9

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We obtain a lower bound for the coarse Ricci curvature of continuous-time pure-jump Markov processes, with an emphasis on interacting particle systems. Applications to several models are provided, with a detailed study of the herd behavior of a simple model of interacting agents.

引用

页码：954 / 991

页数：38

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