22 citations · 36 across the 4 of their papers we have counts for
4 papers · 1 filter
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…