Center for Nonlinear Analysis
CNA Home
People
Seminars
Publications
Workshops and Conferences
CNA Working Groups
CNA Comments Form
Summer Schools
Summer Undergraduate Institute
PIRE
Cooperation
Graduate Topics Courses
SIAM Chapter Seminar
Positions
Contact |
Publication 23-CNA-003
Gautam Iyer Ethan Lu James Nolen Abstract: 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 $\phi$ the mixing time becomes $O$(|ln $\epsilon$|). We also study the dissipation time of this process, and obtain $O$(|ln $\epsilon$|) upper and lower bounds with explicit constants.
Get the paper in its entirety as 23-CNA-003.pdf |