3 papers
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
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…