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.
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页码：954 / 991
页数：38
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