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
Mixing on Generalized Associahedra
William Chang, Colin Defant, Daniel Frishberg
Eppstein and Frishberg recently proved that the mixing time for the simple random walk on the -skeleton of the associahedron is . We obtain similar rapid mixing…