Rates of convergence for minimal distances in the central limit theorem under projective criteria.
Rates of convergence in the central limit theorem for empirical processes
Rates of convergence to the local time of a diffusion
Rates of strong uniform consistency for multivariate kernel density estimators
Réarrangement, inégalités maximales et théorèmes ergodiques fractionnaires
Étant donné un semi-flot mesurable préservant une mesure de probabilité sur un espace , nous considérons les moyennes ergodiques où est un “poids” à support compact sur , c’est-à-dire que vérifie et . Nous démontrons la convergence p.p. de ces moyennes quand si appartient à l’espace de Lorentz défini par le poids qui est le réarrangé décroissant de . En particulier, pour , on obtient la convergence p.p. des moyennes de Césarò d’ordre
Réarrangements convexes des marches aléatoires
Recent advances in invariance principles for stationary sequences.
Rectification à «Sur un type de convergence intermédiaire entre la convergence en loi et la convergence en probabilité»
Recurrence and transience of a multi-excited random walk on a regular tree.
Refinement of the Shannon-McMillan-Breiman theorem for some maps of an interval
Régularité du plus grand exposant caractéristique des produits de matrices aléatoires indépendantes et applications
Régularité et propriétés limites des fonctions aléatoires
Regularity of the diffusion coefficient matrix for the lattice gas with energy
Regularity of the effective diffusivity of random diffusion with respect to anisotropy coefficient
We show that the effective diffusivity of a random diffusion with a drift is a continuous function of the drift coefficient. In fact, in the case of a homogeneous and isotropic random environment the function is smooth outside the origin. We provide a one-dimensional example which shows that the diffusivity coefficient need not be differentiable at 0.
Relations between laws of large numbers and asymptotic martingales in Banach spaces
Relationship between Extremal and Sum Processes Generated by the same Point Process
2000 Mathematics Subject Classification: Primary 60G51, secondary 60G70, 60F17.We discuss weak limit theorems for a uniformly negligible triangular array (u.n.t.a.) in Z = [0, ∞) × [0, ∞)^d as well as for the associated with it sum and extremal processes on an open subset S . The complement of S turns out to be the explosion area of the limit Poisson point process. In order to prove our criterion for weak convergence of the sum processes we introduce and study sum processes over explosion area....
Relative entropy and stability of stochastic semigroups
Relative entropy and waiting times for continuous-time Markov processes.
Remarks on stable measures on Banach spaces
Remarks on the space of monotonic functions