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Lower bound for the coarse Ricci curvature of continuous-time pure jump processes

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arxiv 1705.06642 v4 pith:FTT5AHPK submitted 2017-05-18 math.PR

Denis Villemonais This is my paper · ORCID
classification math.PR
keywords boundcoarsecurvatureinteractingjumplowerprocessespure
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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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  1. Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces

    math.PR 2019-08 conditional novelty 6.0 of 10

    For reversible mean-field dynamics on finite state spaces, a positive entropic Ricci curvature bound implies modified logarithmic Sobolev, Talagrand transport-entropy and exponential entropy decay inequalities.

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