Comportement asymptotique des fonctions harmoniques sur les arbres
Comportement asymptotique du noyau potentiel sur les groupes de Lie
Comportement asymptotique du temps d'occupation du processus des sommes partielles
Comportement asymptotique d’une classe de chaînes de Markov sur
Condition pour qu'une transformation d'un espace uniforme soit une contraction stricte, et applications
Conditional limit theorems for intermediately subcritical branching processes in random environment
For a branching process in random environment it is assumed that the offspring distribution of the individuals varies in a random fashion, independently from one generation to the other. For the subcritical regime a kind of phase transition appears. In this paper we study the intermediately subcritical case, which constitutes the borderline within this phase transition. We study the asymptotic behavior of the survival probability. Next the size of the population and the shape of the random environment...
Conditional limit theorems for ordered random walks.
Conditioning properties of the stationary distribution for a Markov chain.
Connectivity bounds for the vacant set of random interlacements
The model of random interlacements on ℤd, d≥3, was recently introduced in [Vacant set of random interlacements and percolation. Available at http://www.math.ethz.ch/u/sznitman/preprints]. A non-negative parameter u parametrizes the density of random interlacements on ℤd. In the present note we investigate connectivity properties of the vacant set left by random interlacements at level u, in the non-percolative regime u>u∗, with u∗ the non-degenerate critical parameter for the percolation...
Consistent minimal displacement of branching random walks.
Continuity of stochastic convolutions
Let be a Brownian motion, and let be the space of all continuous periodic functions with period 1. It is shown that the set of all such that the stochastic convolution , does not have a modification with bounded trajectories, and consequently does not have a continuous modification, is of the second Baire category.
Convergence de sommes de variables aléatoires indicées par des ensembles partiellement ordonnes
Convergence of simple random walks on random discrete trees to brownian motion on the continuum random tree
In this article it is shown that the brownian motion on the continuum random tree is the scaling limit of the simple random walks on any family of discrete n-vertex ordered graph trees whose search-depth functions converge to the brownian excursion as n→∞. We prove both a quenched version (for typical realisations of the trees) and an annealed version (averaged over all realisations of the trees) of our main result. The assumptions of the article cover the important example of simple random walks...
Convergence of the -series for stationary sequences.
Convergence rates for quadratic forms of random variables
Convergence rates for weighted sums of random variables with random indices
Convolutional attractors of stationary sequences of random measures on compact groups
Counting nondecreasing integer sequences that Lie below a barrier.
Counting occurrences in almost sure limit theorems
Counting walks in a quadrant: a unified approach via boundary value problems
The aim of this article is to introduce a unified method to obtain explicit integral representations of the trivariate generating function counting the walks with small steps which are confined to a quarter plane. For many models, this yields for the first time an explicit expression of the counting generating function. Moreover, the nature of the integrand of the integral formulations is shown to be directly dependent on the finiteness of a naturally attached group of birational transformations...