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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.PR2024
Limit Profile for the Bernoulli--Laplace Urn
Sam Olesker-Taylor, Dominik Schmid
We analyse the convergence to equilibrium of the Bernoulli--Laplace urn model: initially, one urn contains red balls and a second blue balls; in each step, a pair of ball…
math.PR2024
Catalan percolation
Eleanor Archer, Ivailo Hartarsky, Brett Kolesnik +3
In Catalan percolation, all nearest-neighbor edges along are initially occupied, and all other edges are open independently with probability . Open edges…