Speed exponents of random walks on groups

Abstract

For every 3/4 <= beta < 1 we construct a finitely generated group so that the expected distance of the simple random walk from its starting point is within a constant factor of n^beta. In fact, the speed can be set precisely to equal any nice prescribed function up to a constant factor.

30 pages

References in corpus (1)

• Behaviors of entropy on finitely generated groups

Cited by in corpus (2)

• Extensive amenability and an application to interval exchanges
• The Liouville property for groups acting on rooted trees