Convergence of coalescing nonsimple random walks to the Brownian web.
Convergence of randomly oscillating point patterns to the Poisson point process
Oscillating point patterns are point processes derived from a locally finite set in a finite dimensional space by i.i.d. random oscillation of individual points. An upper and lower bound for the variation distance of the oscillating point pattern from the limit stationary Poisson process is established. As a consequence, the true order of the convergence rate in variation norm for the special case of isotropic Gaussian oscillations applied to the regular cubic net is found. To illustrate these theoretical...
Convergence of unbounded multivalued supermartingales in the Mosco and slice topologies.
Convergence theorems for set-valued conditional expectations
In this paper we prove two convergence theorems for set-valued conditional expectations. The first is a set-valued generalization of Levy’s martingale convergence theorem, while the second involves a nonmonotone sequence of sub -fields.
Coverings of Metric Spaces with Randomly Placed Balls.
Cyclic random motions in -space with n directions
We study the probability distribution of the location of a particle performing a cyclic random motion in . The particle can take n possible directions with different velocities and the changes of direction occur at random times. The speed-vectors as well as the support of the distribution form a polyhedron (the first one having constant sides and the other expanding with time t). The distribution of the location of the particle is made up of two components: a singular component (corresponding...
De l'emploi de la géométrie pour résoudre certaines questions de moyennes et de probabilités.
Decomposition in stereological unfolding problems
Determinantal probability measures
Determinantal point processes have arisen in diverse settings in recent years and have been investigated intensively. We study basic combinatorial and probabilistic aspects in the discrete case. Our main results concern relationships with matroids, stochastic domination, negative association, completeness for infinite matroids, tail triviality, and a method for extension of results from orthogonal projections to positive contractions. We also present several new avenues for further investigation,...
Dichotomie aléatoire et séparation linéaire
Dimension de Hausdorff de certains fractals aléatoires
On construit des ensembles de Cantor aléatoires par partages successifs de rectangles, en partant d’un carré, (le nombre de divisions de la longueur peut être différent de celui de la largeur). La construction est stationnaire : elle fait intervenir des variables aléatoires indépendantes et équidistribuées. Sur ces ensembles il existe une mesure naturelle, , aléatoire elle aussi. Des résultats concernant les boréliens portant et leur dimension de Hausdorff ont déjà été obtenus par J. Peyrière...
Dimensions of random recursive sets.
Directional Analysis of Fibre Processes Related to Boolean Models.
Discrete orthogonal polynomial ensembles and the Plancherel measure.
Distance estimates for dependent thinnings of point processes with densities.
Distance estimates for Poisson process approximations of dependent thinnings.
Distributions Stochastiques de L. Schwartz a valears vectorielles
Ein asymptotischer Satz über den maximalen Minimalabstand von unabhängigen Zufallsvektoren mit Anwendung auf einen Anpassungstest im Rp und auf der Kugel.
Eine zweifache Verallgemeinerung der Polya-Verteilung und ihre verschiedenen Deutungen.
Ends in uniform spanning forests.