Work

Upper tail large deviations for Brownian motions with one-sided collisions

Year: 2025

Type: article

Abstract: The system of interacting Brownian motions, where a particle is reflected asymmetrically from its left neighbor, belongs to the KPZ universality class, with multi-point asymptotics having been derived in previous works. In this paper we show upper tail large deviation principles for all three fundamental initial conditions, including explicit calculation of the rate function. For the periodic case the Lambert-W function, which is already present in the Fredholm determinant formula, also appears in the rate function.

Source: Electronic Communications in Probability

DOI: 10.1214/25-ecp695

Author: Thomas Weiss

Institutions: Austrian Academy of Sciences, Acoustics Research Institute

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $675

OpenAlex ID: W4410785271