On Random Walks in large compact Lie groups

TL;DR

This paper investigates the mixing times of specific random walks on large unitary groups, providing insights into their convergence behavior in high-dimensional Lie groups.

Contribution

It offers a new analysis of mixing times for random walks on large compact Lie groups, particularly unitary groups, which was previously less understood.

Findings

Derived bounds on mixing times for certain random walks

Identified factors influencing convergence speed

Enhanced understanding of random walk behavior in high-dimensional groups

Abstract

We evaluate the mixing time of certain random walks on large unitary groups