95 citations · 199 across the 27 of their papers we have counts for
37 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}_{…
The local product condition implies cutoff
Francesco Pedrotti, Justin Salez
In the theory of mixing times, a famously wrong conjecture predicts that a sequence of Markov processes exhibits cutoff as soon as the product of their Poincaré constant and mixing…
A transport approach to the cutoff phenomenon
Francesco Pedrotti, Justin Salez
Substantial progress has recently been made in the understanding of the cutoff phenomenon for Markov processes, using an information-theoretic statistics known as varentropy [Sal23…
Modern aspects of Markov chains: entropy, curvature and the cutoff phenomenon
Justin Salez
The cutoff phenomenon is an abrupt transition from out of equilibrium to equilibrium undergone by certain Markov processes in the limit where the size of the state space tends to i…
Intrinsic regularity in the discrete log-Sobolev inequality
Justin Salez, Pierre Youssef
The chain rule lies at the heart of the powerful Gamma calculus for Markov diffusions on manifolds, providing remarkable connections between several fundamental notions such as Bak…
A new cutoff criterion for non-negatively curved chains
Francesco Pedrotti, Justin Salez
The cutoff phenomenon was recently shown to systematically follow from non-negative curvature and the product condition, for all Markov diffusions. The proof crucially relied on a…