About the speed of random walk on solvable groups

Date
2015/11/10 Tue 15:00 - 16:30
Room
6号館609号室
Speaker
Jeremie Brieussel
Affiliation
Universite de Montpellier
Abstract

The speed of a random walk measures the average distance between the particle and its starting point. By Lee-Peres, for non-degenerate random walks on infinite groups, the speed is between $\sqrt{n}$ and $n$ . By Amir-Virag, any regular function between $n^{\frac{3}{4}}$ and $n$ is the speed function of some random walk on some group. I will describe some solvable groups and some random walks on them with speed between $\sqrt{n}$ and $n^{\frac{3}{4}}$.