Random Walks on SL_2(F_p) x SL_2(F_p)

Abstract: We will give a taste of the flavors of math that constitute the study of random walks on compact groups, followed by which we will describe the author’s work with Prof. Golsefidy in solving a question of Lindenstrauss and Varju. Namely, can the spectral gap of a random walk on a product of groups be related to those of the projections onto its factors

dynamical systemsnumber theory

Audience: general audience

New England Dynamics and Number Theory Seminar