Author

Justin Salez

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Preprint Sep 2026

Universality of cutoff for the Exclusion Process

Under a fairly general condition on the underlying jump rates, we prove that the Exclusion Process with fixed particle density exhibits cutoff at time $t_{{mix}}\sim \frac{1}{2}{t}_{{rel}} \log N$, where $N$ is the volume and ${t}_{{rel}}$ the relaxation time of the single-particle dynamics. Our result covers, in parti...

J. Hermon, G. Kozma, Justin Salez · 0 citations

Preprint Jul 2026

The local product condition implies cutoff

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 Poincar\'e constant and mixing time diverges. We prove that this statement becomes correct once the Poincar\'e constant $\gamma$ is replaced with its natural non-equili...

Francesco Pedrotti, Justin Salez · 0 citations