The strong law of large numbers for dependent vector processes with decreasing correlation: “Double averaging concept”.
The strong law of large numbers for -statistics with dependent data.
The strong law of large numbers for o-convergent random variables
The sum of digits of
The unconditional pointwise convergence of orthogonal seriesin over a von Neumann algebra
The paper is devoted to some problems concerning a convergence of pointwise type in the -space over a von Neumann algebra M with a faithful normal state Φ [3]. Here is the completion of M under the norm .
The unscaled paths of branching brownian motion
For a set A ⊂ C[0, ∞), we give new results on the growth of the number of particles in a branching Brownian motion whose paths fall within A. We show that it is possible to work without rescaling the paths. We give large deviations probabilities as well as a more sophisticated proof of a result on growth in the number of particles along certain sets of paths. Our results reveal that the number of particles can oscillate dramatically. We also obtain new results on the number of particles near the...
The von Neumann algebra associated with an infinite number of t-free noncommutative gaussian random variables
We show that the von Neumann algebras generated by an infinite number of t-deformed free gaussian operators are factors of type .
The weak convergence of regenerative processes using some excursion path decompositions
We consider regenerative processes with values in some general Polish space. We define their -big excursions as excursions such that , where is some given functional on the space of excursions which can be thought of as, e.g., the length or the height of . We establish a general condition that guarantees the convergence of a sequence of regenerative processes involving the convergence of -big excursions and of their endpoints, for all in a set whose closure contains . Finally, we provide...
The Wiener process and the central limit theorem.
The zero-one law for planar random walks in i.i.d. random environments revisited.
The Zero-one law for Products of Internal *-finitely Additive Probabiltty Spaces
Théorème central limite local sur certains groupes de Lie
Théorème central limite local sur les extensions compactes de
Théorème central limite sur les groupes nilpotents
Théorème central-limite pour le groupe des déplacements de
Théorème de convergence vers des lois stables pour une classe de chaînes de Markov
Théorème de la limite centrale et convergence fonctionnelle vers un processus à accroissements indépendants : la méthode des martingales
Théorème de la limite centrale pour un produit semi-direct d'un groupe de Lie résoluble simplement connexe de type rigide par un groupe compact
Théorème de limite centrale fonctionnel pour une chaîne de Markov récurrente au sens de Harris et positive
Théorème de limite centrale pour un estimateur non paramétrique de la variance d'un processus de diffusion multidimensionnelle