Mitchell Lee

collaborators

2 papers

math.PR2025

Reduced Random Walks in the Hyperbolic Plane $! ?$

Colin Defant, Mitchell Lee

We study Lam's reduced random walk in a hyperbolic triangle group, which we view as a random walk in the upper half-plane. We prove that this walk converges almost surely to a poin…

math.CO2024

Bender--Knuth Billiards in Coxeter Groups

Grant Barkley, Colin Defant, Eliot Hodges +2

Let $(W, S)$ be a Coxeter system, and write $S = {s_{i} : i \in I}$ , where $I$ is a finite index set. Fix a nonempty convex subset $L$ of $W$ . If $W$ is of type $A$ , then $\mat…

Reduced Random Walks in the Hyperbolic Plane!?

Bender--Knuth Billiards in Coxeter Groups

Reduced Random Walks in the Hyperbolic Plane $! ?$