129 citations · 546 across the 54 of their papers we have counts for
6 papers · 1 filter
Kantorovich duality for general transport costs and applications
Nathael Gozlan, Cyril Roberto, Paul-Marie Samson +1
We introduce a general notion of transport cost that encompasses many costs used in the literature (including the classical one and weak transport costs introduced by Talagrand and…
Discrete Ricci curvature bounds for Bernoulli-Laplace and random transposition models
Matthias Erbar, Jan Maas, Prasad Tetali
We calculate a Ricci curvature lower bound for some classical examples of random walks, namely, a chain on a slice of the n-dimensional discrete cube (the so-called Bernoulli-Lapla…
Convergence to global equilibrium for Fokker-Planck equations on a graph and Talagrand-type inequalities
Rui Che, Wen Huang, Yao Li +1
In recent work, Chow, Huang, Li and Zhou introduced the study of Fokker-Planck equations for a free energy function defined on a finite graph. When is the number of vertic…
Inverse Expander Mixing for Hypergraphs
Emma Cohen, Dhruv Mubayi, Peter Ralli +1
We formulate and prove inverse mixing lemmas in the settings of simplicial complexes and k-uniform hypergraphs. In the hypergraph setting, we extend results of Bilu and Linial for…
Decay of Correlations for the Hardcore Model on the -regular Random Graph
Nayantara Bhatnagar, Allan Sly, Prasad Tetali
A key insight from statistical physics about spin systems on random graphs is the central role played by Gibbs measures on trees. We determine the local weak limit of the hardcore…
Approximate tensorization of entropy at high temperature
Pietro Caputo, Georg Menz, Prasad Tetali
We show that for weakly dependent random variables the relative entropy functional satisfies an approximate version of the standard tensorization property which holds in the indepe…