Asymptotic behaviors of random walks on countable groups

  • Tianyi Zheng

    Department of Mathematics, University of California San Diego, 9500 Gilman Dr., La Jolla, CA 92093, USA
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Abstract

In this note we survey some topics in random walks on countable groups. The main focus is on quantitative estimates for random walk characteristics on amenable groups, in connections to geometric and algebraic properties of the underlying groups.