22 citations · 36 across the 4 of their papers we have counts for
5 papers
Poisson Boundary for Upper-Triangular Groups
Anna Erschler, Josh Frisch, Mark Rychnovsky
We prove that finite entropy random walks on the torsion-free Baumslag group in dimension have non-trivial Poisson boundary. This is in contrast with the torsion case where t…
Random walk on nonnegative integers in beta distributed random environment
Guillaume Barraquand, Mark Rychnovsky
We consider random walks on the nonnegative integers in a space-time dependent random environment. We assume that transition probabilities are given by independent $\mathrm{Beta}(μ…
GUE corners process in boundary-weighed six-vertex models
Evgeni Dimitrov, Mark Rychnovsky
We consider a class of probability distributions on the six-vertex model, which originate from the higher spin vertex models in arXiv:1601.05770 and have previously been investigat…
Large Deviations For Sticky Brownian Motions
Guillaume Barraquand, Mark Rychnovsky
We consider n-point sticky Brownian motions: a family of n diffusions that evolve as independent Brownian motions when they are apart, and interact locally so that the set of coinc…
Tracy-Widom asymptotics for a river delta model
Guillaume Barraquand, Mark Rychnovsky
We study an oriented first passage percolation model for the evolution of a river delta. This model is exactly solvable and occurs as the low temperature limit of the beta random w…