71 citations · 181 across the 26 of their papers we have counts for
21 papers · 1 filter
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…
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Roger Tribe, Oleg Zaboronski
This paper considers the decay in particle intensities for a translation invariant two species system of diffusing and reacting particles on for . The inte…
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…