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math.PR2024
Time-Biased Random Walks and Robustness of Expanders
Sam Olesker-Taylor, Thomas Sauerwald, John Sylvester
Random walks on expanders play a crucial role in Markov Chain Monte Carlo algorithms, derandomization, graph theory, and distributed computing. A desirable property is that they ar…
math.AP2024
Coupled transport equations with freezing
Krzysztof Burdzy, John Sylvester
We study a system of two coupled transport equations with freezing. The solutions freeze in time when they are equal. We prove existence and uniqueness of continuous solutions if t…