Abstract. The affine group of a homogeneous tree is the group of all its isometries fixing an end of its boundary. Given a probability measure µ on the group we consider the random walk on the group and the associated random processes on the tree and its boundary. In the drift-free case there exists on the boundary of the tree a unique µ-invariant Radon measure. In this paper we study its behavior at infinity. 1
AbstractThe classical gambler's ruin problem, i.e., a random walk along a line may be viewed graph t...
Let T be a locally finite, infinite tree. The simple random walk on T is the Markov chain in which t...
The simple random walk on $\mathbb{Z}^p$ shows two drastically different behaviours depending on the...
We study the behavior of Random Walk in Random Environment (RWRE) on trees in the critical case left...
Soit G un groupe de Lie réel et Λ ⊆ G un sous-groupe discret. La donnée d'une mesure de probabilité ...
This paper announces results which have been later developped in three articles: 1. "Random walks on...
We consider the random walk in an i.i.d. random environment on the infinite d-regular tree for d≥3. ...
L’objet de cette thèse est d’étudier plusieurs modèles probabilistes reliant les marches aléatoires ...
We consider the biased random walk on a tree constructed from the set of finite self-avoiding ...
We construct a Markov process on the p-adic numbers, which are identified with the ends of an infini...
Let T be a locally finite, infinite tree. The simple random walk on T is the Markov chain in which t...
In the book [3], original methods were proposed to determine the invariant measure of random walks i...
Let H be a finite group and µ a probability measure on H. This data determines an invariant random w...
62 pages, 1 figure, 2 tablesInternational audienceWe study some spectral properties of random walks ...
Abstract. In the present paper we consider a continuous time random walk on an anisotropic random la...
AbstractThe classical gambler's ruin problem, i.e., a random walk along a line may be viewed graph t...
Let T be a locally finite, infinite tree. The simple random walk on T is the Markov chain in which t...
The simple random walk on $\mathbb{Z}^p$ shows two drastically different behaviours depending on the...
We study the behavior of Random Walk in Random Environment (RWRE) on trees in the critical case left...
Soit G un groupe de Lie réel et Λ ⊆ G un sous-groupe discret. La donnée d'une mesure de probabilité ...
This paper announces results which have been later developped in three articles: 1. "Random walks on...
We consider the random walk in an i.i.d. random environment on the infinite d-regular tree for d≥3. ...
L’objet de cette thèse est d’étudier plusieurs modèles probabilistes reliant les marches aléatoires ...
We consider the biased random walk on a tree constructed from the set of finite self-avoiding ...
We construct a Markov process on the p-adic numbers, which are identified with the ends of an infini...
Let T be a locally finite, infinite tree. The simple random walk on T is the Markov chain in which t...
In the book [3], original methods were proposed to determine the invariant measure of random walks i...
Let H be a finite group and µ a probability measure on H. This data determines an invariant random w...
62 pages, 1 figure, 2 tablesInternational audienceWe study some spectral properties of random walks ...
Abstract. In the present paper we consider a continuous time random walk on an anisotropic random la...
AbstractThe classical gambler's ruin problem, i.e., a random walk along a line may be viewed graph t...
Let T be a locally finite, infinite tree. The simple random walk on T is the Markov chain in which t...
The simple random walk on $\mathbb{Z}^p$ shows two drastically different behaviours depending on the...