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arXiv · 1906.04855

Modified log-Sobolev inequality for a compact PJMP with degenerate jumps

Ioannis Papageorgiou
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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 L\"ocherbach. As a result, we obtain concentration properties for empirical approximations of the process.

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BibTeXRIS

Ioannis Papageorgiou. 2019-06-11. Modified log-Sobolev inequality for a compact PJMP with degenerate jumps. https://doi.org/10.1007/s10955-020-02506-2

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