Sur les suites de fonctions qui convergent sur les graphes
Sur l'espérance des variables aléatoires à valeurs dans les espaces de Banach réticulés
Sur l'espérance des variables aléatoires vectorielles
Sur un théorème de Talagrand
Sur un type de convergence intermédiaire entre la convergence en loi et la convergence en probabilité
Sur une extension d'un théorème de Tortrat
Symétrisation dans l'espace de Gauss.
Symmetrische Gaussverteilungen sind diffus.
Tail and moment estimates for sums of independent random vectors with logarithmically concave tails
Let be a sequence of independent symmetric real random variables with logarithmically concave tails. We consider a variable , where are vectors of some Banach space. We derive approximate formulas for the tail and moments of ∥X∥. The estimates are exact up to some universal constant and they extend results of S. J. Dilworth and S. J. Montgomery-Smith [1] for the Rademacher sequence and E. D. Gluskin and S. Kwapień [2] for real coefficients.
Tail probability estimates for certain Rademacher sums
Teoría ergódica y simetrización.
We study the relations between simetrization by a limiting process of probabilities and functions defined on a metric compacy product space and their ergodic properties.
The Analogues of Entropy and of Fisher's Information Measure in Free Probability Theory III: The Absence of Cartan Subalgebras.
The Bochner mean square deviation and law of large numbers for squares of random elements in Banach lattices.
The Brunn-Minkowski Inequality in Gauss Space.
The central limit theorem for stochastic integrals.
The Choquet-Deny theorem and distal properties of totally disconnected locally compact groups of polynomial growth.
The convolution equation of Choquet and Deny for probability measures on discrete semigroups
The convolution equation of Choquet and Deny on semigroups
The distribution of eigenvalues of randomized permutation matrices
In this article we study in detail a family of random matrix ensembles which are obtained from random permutations matrices (chosen at random according to the Ewens measure of parameter ) by replacing the entries equal to one by more general non-vanishing complex random variables. For these ensembles, in contrast with more classical models as the Gaussian Unitary Ensemble, or the Circular Unitary Ensemble, the eigenvalues can be very explicitly computed by using the cycle structure of the permutations....
The domain of attraction of a non-Gaussian stable distribution in a Hilbert space