3 papers
math.PR2026
Bi-infinite systems of singularly interacting Brownian particles and the KPZ equation
Sayan Banerjee, Amarjit Budhiraja, Peter Rudzis
We study a bi-infinite system of interacting Brownian particles on the real line with singular asymmetric interactions mediated by the collision local times. Particles perform Brow…
math.PR2025
Fluctuations of the Atlas model from inhomogeneous stationary profiles
Sayan Banerjee, Amarjit Budhiraja, Peter Rudzis
The infinite Atlas model describes the evolution of a countable collection of Brownian particles on the real line, where the lowest particle is given a drift of .…
math.PR2025
Strong existence, pathwise uniqueness and chains of collisions in infinite Brownian particle systems
Sayan Banerjee, Amarjit Budhiraja, Peter Rudzis
We study strong existence and pathwise uniqueness for a class of infinite-dimensional singular stochastic differential equations (SDE), with state space as the cone $\{x \in \mathb…