50 citations · 507 across the 43 of their papers we have counts for
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Entrance laws for coalescing and annihilating Brownian motions
Roger Tribe, Oleg Zaboronski
Systems of instantaneously annihilating or coalescing Brownian motions on the line are considered. The extreme points of the set of entrance laws for this process are shown to be P…
The Stochastic Casimir Effect
Ruibo Kou, Roger Tribe, Oleg Zaboronski
We model the one-dimensional `classical' vacuum by a system of annihilating Brownian motions on with pairwise immigration. A pair of reflecting or absorbing walls plac…
Representations of Hecke algebras and Markov dualities for interacting particle systems
Alexander Povolotsky, Pavel Pyatov, Roger Tribe +2
Many continuous reaction-diffusion models on (annihilating or coalescing random walks, exclusion processes, voter models) admit a rich set of Markov duality functions…
Asymptotic expansions for a class of Fredholm Pfaffians and interacting particle systems
Will FitzGerald, Roger Tribe, Oleg Zaboronski
Motivated by the phenomenon of duality for interacting particle systems we introduce two classes of Pfaffian kernels describing a number of Pfaffian point processes in the `bulk' a…
Sharp asymptotics for Fredholm Pfaffians related to interacting particle systems and random matrices
Will FitzGerald, Roger Tribe, Oleg Zaboronski
It has been known since the pioneering paper of Mark Kac, that the asymptotics of Fredholm determinants can be studied using probabilistic methods. We demonstrate the efficacy of K…
Multi-point correlations for two dimensional coalescing random walks
Jamie Lukins, Roger Tribe, Oleg Zaboronski
This paper considers an infinite system of instantaneously coalescing rate one simple random walks on , started from the initial condition with all sites in $\mathbb{…