AbstractLet G be a locally compact group. Random walks on G, some factorization problems in L1(G) and the significance for these of the amenability of G are studied. These topics are linked in this paper via ideals in L1(G) of the form [L1(G) ∗ (δe − μ)] −, where μ is a probability measure on G. Cohen's factorization theorem and some ideas from ergodic theory play an important part
Let H be a finite group and [mu] a probability measure on H. This data determines an invariant rando...
The goal of these notes is to give an introduction to random walks and limit theorems on Lie groups,...
We prove that the concepts of completely mixing, mixing, and weakly mixing probability measures on a...
Let G be a σ-compact, locally compact group and I be a closed 2-sided ideal with finite codimension ...
Let G be a locally compact group and μ a probability measure on G. Given a unitary representation μ ...
Let H be a finite group and µ a probability measure on H. This data determines an invariant random w...
This thesis presents two applications of representation theory of locally compact groups. The first...
summary:Let $G$ be a Polish group with an invariant metric. We characterize those probability measur...
This thesis consists of an introduction, a summary and 7 papers. The papers are devoted to problems ...
In this book, the author gives a cohesive account of the theory of probability measures on complete ...
We obtain a characterization for probability measures on a locally compact Abelian group X based on ...
We discuss some properties of nilpotent Lie groups and their application in proving the embedding th...
This thesis is at the intersection of dynamics, combinatorics and probability theory. My work focuse...
We are now witnessing a rapid growth of a new part of group theory which has become known as "...
ABSTRACT. New developments and results in the theory of expectatiors and variances for random variab...
Let H be a finite group and [mu] a probability measure on H. This data determines an invariant rando...
The goal of these notes is to give an introduction to random walks and limit theorems on Lie groups,...
We prove that the concepts of completely mixing, mixing, and weakly mixing probability measures on a...
Let G be a σ-compact, locally compact group and I be a closed 2-sided ideal with finite codimension ...
Let G be a locally compact group and μ a probability measure on G. Given a unitary representation μ ...
Let H be a finite group and µ a probability measure on H. This data determines an invariant random w...
This thesis presents two applications of representation theory of locally compact groups. The first...
summary:Let $G$ be a Polish group with an invariant metric. We characterize those probability measur...
This thesis consists of an introduction, a summary and 7 papers. The papers are devoted to problems ...
In this book, the author gives a cohesive account of the theory of probability measures on complete ...
We obtain a characterization for probability measures on a locally compact Abelian group X based on ...
We discuss some properties of nilpotent Lie groups and their application in proving the embedding th...
This thesis is at the intersection of dynamics, combinatorics and probability theory. My work focuse...
We are now witnessing a rapid growth of a new part of group theory which has become known as "...
ABSTRACT. New developments and results in the theory of expectatiors and variances for random variab...
Let H be a finite group and [mu] a probability measure on H. This data determines an invariant rando...
The goal of these notes is to give an introduction to random walks and limit theorems on Lie groups,...
We prove that the concepts of completely mixing, mixing, and weakly mixing probability measures on a...