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math.PR2026

Cluster-Cluster model in

Noam Berger, Eviatar B. Procaccia, Dominik Schmid +1

We consider a stochastic process on for . Given a translation invariant and ergodic starting configuration of finite clusters, each cluster performs a…

math.PR2026

Periodic directed landscape

Amol Aggarwal, Ivan Corwin, Dominik Schmid

We construct the periodic directed landscape, which is the conjectured scaling limit for periodic models in the Kardar-Parisi-Zhang universality class. We establish the convergence…

math.PR2025

Cutoff for generalised Bernoulli-Laplace urn models

Ritesh Goenka, Jonathan Hermon, Dominik Schmid

We introduce a multi-colour multi-urn generalisation of the Bernoulli-Laplace urn model, consisting of urns, colours, and balls, with balls of each colour and $m…

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.PR2025

Mixing times for the open ASEP at the triple point

Patrik L. Ferrari, Dominik Schmid

We consider mixing times for the open asymmetric simple exclusion process (ASEP) at the triple point. We show that the mixing time of the open ASEP on a segment of length for b…

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…