2 papers
math.PR2026
Convergence to equilibrium for density dependent Markov jump processes
Andrew Barbour, Graham Brightwell, Malwina Luczak
We investigate the convergence to (quasi--)equilibrium of a density dependent Markov chain in~, whose drift satisfies a system of ordinary differential equations hav…
math.PR2025
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…