36 citations · 196 across the 30 of their papers we have counts for
8 papers · 1 filter
Further Results and Discussions on Random Cayley Graphs
Jonathan Hermon, Sam Olesker-Taylor
Consider the random Cayley graph of a finite group with respect to generators chosen uniformly at random, with . The results of this article supp…
Cutoff for Random Walks on Upper Triangular Matrices
Jonathan Hermon, Sam Olesker-Taylor
Consider the random Cayley graph of a finite group with respect to generators chosen uniformly at random, with (ie ). A co…
Some inequalities for reversible Markov chains and branching random walks via spectral optimization
Jonathan Hermon
We present results relating mixing times to the intersection time of branching random walk (BRW) in which the logarithm of the expected number of particles grows at rate of the spe…
The interchange process on high-dimensional products
Jonathan Hermon, Justin Salez
We resolve a long-standing conjecture of Wilson (2004), reiterated by Oliveira (2016), asserting that the mixing-time of the unit-rate Interchange Process on the -dimensional hy…
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…