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math.PR2024
Cutoff for the logistic SIS epidemic model with self-infection
Roxanne He, Malwina Luczak, Nathan Ross
We study a variant of the classical Markovian logistic SIS epidemic model on a complete graph, which has the additional feature that healthy individuals can become infected without…
math.PR2024
On Approximating the Potts Model with Contracting Glauber Dynamics
Roxanne He, Jackie Lok
We show that the Potts model on a graph can be approximated by a sequence of independent and identically distributed spins in terms of Wasserstein distance at high temperatures. We…