The Green formula and HP Spaces on trees.
The growth exponent for planar loop-erased random walk.
The kernel method: a collection of examples.
The mass of sites visited by a random walk on an infinite graph.
The missing factor in Hoeffding's inequalities
The Poisson boundary of random rational affinities
We prove that in order to describe the Poisson boundary of rational affinities, it is necessary and sufficient to consider the action on real and all -adic fileds.
The Pólya-Aeppli process and ruin problems.
The renewal theorem for random walk in two-dimensional time
The Resolvent for Simple Random Walks on the Free Product of Two Discrete Groups.
The scaling limit of senile reinforced random walk.
The spread of a catalytic branching random walk
We consider a catalytic branching random walk on that branches at the origin only. In the supercritical regime we establish a law of large number for the maximal position : For some constant , almost surely on the set of infinite number of visits of the origin. Then we determine all possible limiting laws for as goes to infinity.
The Strong Liouville Property for a Class of Random Walks.
The voter model with anti-voter bonds
The -algebra of pasts of a random walk on the orbits of the Bernoulli action of the group .
Théorème central limite local sur les extensions compactes de
Théorèmes de dérivation du type de Lebesgue et continuité presque sûre de certains processus gaussiens
Théorèmes limites pour les marches aléatoires sur le dual de
Three-dimensional reflected driftless random walks in troughs : new asymptotic behavior
Time-space analysis of the cluster-formation in interacting diffusions.
Toward the best constant factor for the Rademacher-Gaussian tail comparison
It is proved that the best constant factor in the Rademacher-Gaussian tail comparison is between two explicitly defined absolute constants c1 and c2 such that c2≈1.01 c1. A discussion of relative merits of this result versus limit theorems is given.