Modified Log-Sobolev Inequality for a Compact Pure Jump Markov Process with Degenerate Jumps

被引：0
|
作者：
Ioannis Papageorgiou
机构：
[1] Universidade de Sao Paulo,Neuromat, Instituto de Matematica e Estatistica
来源：
Journal of Statistical Physics | 2020年 / 178卷
关键词：
Brain neuron networks; Pure jump Markov processes; Modified log-Sobolev inequality; Concentration; Empirical approximations; 60K35; 26D10; 60G99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the modified log-Sobolev inequality for a class of pure jump Markov processes that describe the interactions between brain neurons. As a result, we obtain concentration properties for empirical approximations of the process. In particular, we focus on a finite and compact process with degenerate jumps inspired by the model introduced by Galves and Löcherbach (J Stat Phys 151:896–921, 2013).
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页码：1293 / 1318
页数：25
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