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math.DS2023
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…
math.PR2023
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 .…