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math.PR2026
Geometric approximation for the number of returns of a transient Markov chain to its origin
Fraser Daly, Seva Shneer
Given a discrete-time, transient Markov chain, we establish explicit total variation error bounds in the approximation of the number of visits to its starting state within the firs…
math.PR2026
Waves Everywhere: A Distributional Equation Approach to Front Propagation
Matthieu Jonckheere, Seva Shneer
We study reaction-diffusion particle systems with several interaction mechanisms. As the number of particles tends to infinity, the system admits a mean-field limit describing the…