Modified log-Sobolev inequality for a compact PJMP with degenerate jumps
arXiv:1906.04855 · doi:10.1007/s10955-020-02506-2
Abstract
We study the modified log-Sobolev inequality for a class of pure jump Markov processes that describe the interactions between brain neurons. In particular, we focus on a finite and compact process with degenerate jumps inspired by the model introduced by Galves and Löcherbach. As a result, we obtain concentration properties for empirical approximations of the process.
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