71 citations · 181 across the 26 of their papers we have counts for
27 papers
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…
Averages of products of characteristic polynomials and the law of real eigenvalues for the real Ginibre ensemble
Roger Tribe, Oleg Zaboronski
An elementary derivation of the Borodin-Sinclair-Forrester-Nagao Pfaffian point process, which characterises the law of real eigenvalues for the real Ginibre ensemble in the large…
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…