Wojciech Bartoszek
On concentrated probabilities on non locally compact groups

Comment.Math.Univ.Carolinae 37,3 (1996) 637-642.

Abstract:Let $G$ be a Polish group with an invariant metric. We characterize those probability measures $\mu $ on $G$ so that there exist a sequence $g_n \in G$ and a compact set $A \subseteq G$ with ${\mu }^{*n} (g_n A) \equiv 1$ for all $n$.

Keywords: concentration function, random walk, Markov operator, invariant measure
AMS Subject Classification: 22D40, 43A05, 47A35, 60B15, 60J15

PDF