R. Tribe

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math.PR2026

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…

math.PR2024

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 $R$ with pairwise immigration. A pair of reflecting or absorbing walls plac…

math.PR2024

$A + A \to A$ , $B + A \to A$

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 $Z^{d}$ for $d \geq 3$ . The inte…

Entrance laws for coalescing and annihilating Brownian motions

The Stochastic Casimir Effect

A+A→A, B+A→A

$A + A \to A$ , $B + A \to A$