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Creators/Authors contains: "Nolen, James"

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  1. ; ; (, Quarterly of Applied Mathematics)
    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 alone is $$O(1/\epsilon^2)$$, where $$\epsilon$$ is the step size. Our main results show that for a class of Bernoulli maps, when the random walk is alternated with the Bernoulli map~$$\varphi$$ the mixing time becomes $$O(\abs{\ln \epsilon})$$. We also study the \emph{dissipation time} of this process, and obtain~$$O(\abs{\ln \epsilon})$$ upper and lower bounds with explicit constants. 
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  2. ; ; ; (, Communications in Mathematical Sciences)
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