About the speed of random walks on solvable groups

2015/05/13 by Jérémie Brieussel, Brieussel, Jérémie
Mathematics · Computer Science · #Geometric and Algebraic Topology #Advanced Operator Algebra Research #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1505.03294

Abstract

We show that for each λ∈ [(1)/(2), 1], there exists a solvable group and a finitely supported measure such that the associated random walk has upper speed exponent λ.

Related

• The speed of random walks on semigroups
• On the joint behaviour of speed and entropy of random walks on groups
• Convergence rates of random walk on irreducible representations of finite groups
• On the speed of distance stationary sequences
• Random walks on free solvable groups