groups and dynamics (abstract)

Texas A&M University, Department of Mathematics, 216 Milner Hall, 11th of February 2009, 3:00-3:50

Groups and Dynamics Seminar

On amenability of automata groups

Volodymyr Nekrachevych of Texas A&M University

This is a joint work with L. Bartholdi and V. Kaimanovich. We prove that groups generated by a special type of automata are amenable. Many groups in this class are not elementary amenable. The proof uses estimates of entropy of random walks on the groups.