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math.PR2023
Using Bernoulli maps to accelerate mixing of a random walk on the torus
Gautam Iyer, Ethan Lu, James Nolen
We study the mixing time of a random walk on the torus, alternated with a Lebesgue measure preserving Bernoulli map. Without the Bernoulli map, the mixing time of the random walk a…
math.PR2016★ 1 cited
A fractional kinetic process describing the intermediate time behaviour of cellular flows
Martin Hairer, Gautam Iyer, Leonid Koralov +2
This paper studies the intermediate time behaviour of a small random perturbation of a periodic cellular flow. Our main result shows that on time scales shorter than the diffusive…