36 citations · 196 across the 30 of their papers we have counts for
3 papers · 1 filter
Universality of cutoff for the Exclusion Process
Jonathan Hermon, Gady Kozma, Justin Salez
Under a fairly general condition on the underlying jump rates, we prove that the Exclusion Process with fixed particle density exhibits cutoff at time $t_{mix}\sim \frac{1}{2}{t}_{…
Random walk on the small-world network model in 3 or more dimensions
Zsuzsanna Baran, Jonathan Hermon, Anđela Šarković +2
We study the mixing time of a simple random walk on the small-world network defined by adding edges to as follows: for each pair we add an edge with prob…
Stationary hitting times on vertex-transitive graphs
Nathanaël Berestycki, Jonathan Hermon, Lucas Teyssier
We prove a refined version of the Aldous and Brown's exponential approximation of stationary hitting times. These are valid for all reversible Markov chains. We then specialise our…