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math.PR2025
Biased random walk on the critical curve of dynamical percolation
Assylbek Olzhabayev, Dominik Schmid
We study biased random walks on dynamical percolation in , which were recently introduced by Andres et al. We provide a second order expansion for the asymptotic spee…
math.PR2024
Limit Profile for the Bernoulli--Laplace Urn
Sam Olesker-Taylor, Dominik Schmid
We analyse the convergence to equilibrium of the Bernoulli--Laplace urn model: initially, one urn contains red balls and a second blue balls; in each step, a pair of ball…
math.PR2024
The open ASEP with light particles
Dominik Schmid, Zongrui Yang
We consider the stationary measure of the open asymmetric simple exclusion process (ASEP) with light particles. We prove several results on the asymptotic locations of the light pa…