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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