Abstract.We study the equidistribution on spheres of the n-step tran-sition probabilities of random walks on graphs. We give sufficient con-ditions for this property being satisfied and for the weaker property of asymptotical equidistribution. We analyze the asymptotical behaviour of the Green function of the simple random walk on Z2 and we provide a class of random walks on Cayley graphs of groups, whose transition probabilities are not even asymptotically equidistributed
The study of random walks demonstrates connections between their algebraic, combinatorial, geometric...
The study of random walks demonstrates connections between their algebraic, combinatorial, geometric...
The paper presents two results. The first one provides separate conditions for the upper and lower e...
We consider a random walk Sk with i.i.d. steps on a compact group equipped with a bi-invariant metri...
The goal of these notes is to give an introduction to random walks and limit theorems on Lie groups,...
We prove a quantitative equidistribution result for linear random walks on the torus, similar to a t...
One can define a random walk on a hypercubic lattice in a space of integer dimension D. For such a p...
One can define a random walk on a hypercubic lattice in a space of integer dimension D. For such a p...
This work is mainly concerned with discrete random walks on graphs and an interesting application of...
This thesis consists of an introduction, a summary and 7 papers. The papers are devoted to problems ...
This paper presents necessary and sufficient conditions for on- and off-diagonal transition probabil...
Abstract. We investigate various features of a quite new family of graphs, introduced as a possible ...
Let H be a finite group and µ a probability measure on H. This data determines an invariant random w...
Of central interest in the study of random walks on finite groups are ergodic random walks. Ergodic ...
ABSTRACT: In this paper we present a method for analyzing a general class of random walks on the n-c...
The study of random walks demonstrates connections between their algebraic, combinatorial, geometric...
The study of random walks demonstrates connections between their algebraic, combinatorial, geometric...
The paper presents two results. The first one provides separate conditions for the upper and lower e...
We consider a random walk Sk with i.i.d. steps on a compact group equipped with a bi-invariant metri...
The goal of these notes is to give an introduction to random walks and limit theorems on Lie groups,...
We prove a quantitative equidistribution result for linear random walks on the torus, similar to a t...
One can define a random walk on a hypercubic lattice in a space of integer dimension D. For such a p...
One can define a random walk on a hypercubic lattice in a space of integer dimension D. For such a p...
This work is mainly concerned with discrete random walks on graphs and an interesting application of...
This thesis consists of an introduction, a summary and 7 papers. The papers are devoted to problems ...
This paper presents necessary and sufficient conditions for on- and off-diagonal transition probabil...
Abstract. We investigate various features of a quite new family of graphs, introduced as a possible ...
Let H be a finite group and µ a probability measure on H. This data determines an invariant random w...
Of central interest in the study of random walks on finite groups are ergodic random walks. Ergodic ...
ABSTRACT: In this paper we present a method for analyzing a general class of random walks on the n-c...
The study of random walks demonstrates connections between their algebraic, combinatorial, geometric...
The study of random walks demonstrates connections between their algebraic, combinatorial, geometric...
The paper presents two results. The first one provides separate conditions for the upper and lower e...