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math.PR2026
Stationary Distribution of Brownian Motion in the Half-Plane with Two-sided Reflections
Jules Flin
We investigate the unique stationary measure of a positive recurrent reflecting Brownian motion in the upper half-plane, where the direction of reflection is constant on each half-…
math.PR2025
Degenerate systems of three Brownian particles with asymmetric collisions: invariant measure of gaps
Thomas Dreyfus, Jules Flin, Sandro Franceschi
We consider a degenerate system of three Brownian particles undergoing asymmetric collisions. We study the gap process of this system and focus on its invariant measure. The gap pr…
math.PR2024★ 1 cited
Reflected Brownian Motion in a wedge: sum-of-exponential absorption probability at the vertex and differential properties
Jules Flin, Sandro Franceschi
We study a Brownian motion with drift in a wedge of angle which is obliquely reflected on each edge along angles and . We assume that the classical parameter $…