Strong ratio limit theorems associated with random walks

Abstract

Strong ratio limit theorems associated with a broad class of spread out random walks on unimodular groups were proved in the preceding paper, where these random walks were assumed to have the convergence parameter $R=1$. In the present paper, we study the case of an arbitrary $R\ge 1$ and clarify the role of the condition that the group is unimodular.

References in corpus (1)

• Exponentials and $R$-recurrent random walks on groups