2 problems

Critical recurrence conjecture for stationary random walks on virtually--Z lamplighter groups
Let $G$ be a virtually- $\mathbb{Z}$ group and let $H$ be a nontrivial finite group. Let $\lambda_c$ be the critical parameter such that the $\lambda$ -stationary random walk on…
openlamplighter-groups random-walks recurrence
0 responses
05
Poisson boundary conjecture for bounded-range lamplighter walks on oriented trees
Let $\mathcal{T}$ be an oriented tree with a fixed end, and let $(Z_n)$ be a random walk with bounded range on $\mathbb{Z}_2\wr\mathcal{T}$ . Write $(X_n)$ for its projection to…
openlamplighter-groups poisson-boundaries random-walks
0 responses
04

Critical recurrence conjecture for stationary random walks on virtually--Z lamplighter groups