4 papers
Supercritical percolation on nonamenable graphs: Isoperimetry, analyticity, and exponential decay of the cluster size distribution
Jonathan Hermon, Tom Hutchcroft
Let be a connected, locally finite, transitive graph, and consider Bernoulli bond percolation on . We prove that if is nonamenable and then there exists a p…
Entropy dissipation estimates for inhomogeneous zero-range processes
Jonathan Hermon, Justin Salez
Introduced by Lu and Yau (CMP, 1993), the martingale decomposition method is a powerful recursive strategy that has produced sharp log-Sobolev inequalities for homogeneous particle…
Modified log-Sobolev inequalities for strong-Rayleigh measures
Jonathan Hermon, Justin Salez
We establish universal modified log-Sobolev inequalities for reversible Markov chains on the boolean lattice , under the only assumption that the invariant law satis…
A comparison principle for random walk on dynamical percolation
Jonathan Hermon, Perla Sousi
We consider the model of random walk on dynamical percolation introduced by Peres, Stauffer and Steif (2015). We obtain comparison results for this model for hitting and mixing tim…