1 citations · 1 across the 4 of their papers we have counts for
5 papers
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…
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…
Semi-deterministic processes with applications in random billiards
Peter Rudzis
We study the ergodic properties of two classes of random dynamical systems: a type of Markov chain which we call the \textit{alternating random walk} and a certain stochastic billi…
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 .…
Rough Collisions
Peter Rudzis
A rough collision law describes the limiting contact dynamics of a pair of rough rigid bodies, as the scale of the rough features (asperities) on the surface of each body goes to z…