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.
Lower bound for the coarse Ricci curvature of continuous-time pure jump processes
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
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.
fields
math.PR 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces
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.