Local-to-Global Contraction in Simplicial Complexes
We give a local-to-global principle for relative entropy contraction in simplicial complexes. This is similar to the local-to-global principle for variances obtained by Alev and Lau (2020).
cs.DS↗
arXiv subjects
Giorgos Mousa
Publications and source records attributed to Giorgos Mousa.
Modified log-Sobolev inequalities for strongly log-concave distributions
We show that the modified log-Sobolev constant for a natural Markov chain which converges to an $r$-homogeneous strongly log-concave distribution is at least $1/r$. Applications include a sharp mixing time bound for the bases-exchange walk for matroids, and a concentration bound for Lipschitz functions over these distributions.
math.PR↗