La convergence presque sûre des -moyennes de Césaro
La loi des grande nombres pour les marches aléatoires sur le dual de SU(2)
La loi des grands nombres de Prokhorov dans les espaces de type
La loi des grands nombres pour une suite échangeable
La loi du logarithme itéré pour les variables aléatoires prégaussiennes à valeurs dans un espace de Banach à norme régulière
La loi forte des grands nombres pour les processus harmonisables
Large and moderate deviations for Hotelling's -statistic.
Large deviation principles for Markov processes via phi-Sobolev inequalities.
Large deviations for transient random walks in random environment on a Galton–Watson tree
Consider a random walk in random environment on a supercritical Galton–Watson tree, and let τn be the hitting time of generation n. The paper presents a large deviation principle for τn/n, both in quenched and annealed cases. Then we investigate the subexponential situation, revealing a polynomial regime similar to the one encountered in one dimension. The paper heavily relies on estimates on the tail distribution of the first regeneration time.
Laws of large numbers and the central limit theorems on a logic
Laws of large numbers for asymmetrical Cauchy random variables.
Laws of large numbers for functions of random walks with positive drift
Laws of large numbers in von Neumann algebras and related results
Laws of Large Numbers of Hypergroups on IR+.
Laws of the iterated logarithm for intersections of random walks on Z4
Laws of the iterated logarithm for the brownian snake
Laws of the Iterated Logarithm for the Central Part of (Semi-) Stable Measures on the Heisenberg Groups.
Le concept nouveau de fonctionnelle d'opacité d'une statistique. Étude des relations entre la loi des grands nombres, l'entropie informationnelle et l'entropie statistique
Lévy classes and self-normalization.
Limit laws for the energy of a charged polymer
In this paper we obtain the central limit theorems, moderate deviations and the laws of the iterated logarithm for the energy Hn=∑1≤j<k≤nωjωk1{Sj=Sk} of the polymer {S1, …, Sn} equipped with random electrical charges {ω1, …, ωn}. Our approach is based on comparison of the moments between Hn and the self-intersection local time Qn=∑1≤j<k≤n1{Sj=Sk} run by the d-dimensional random walk {Sk}. As partially needed for our main objective and partially motivated by their independent interest,...