Quasi-Feller Markov chains.
Quasi-Invariance of Measures under Translation.
Quasi-invariant measures on commutative Lie groups of infinite product type.
Quelques espaces fonctionnels associés à des processus gaussiens
The first part of the paper presents results on Gaussian measures supported by general Banach sequence spaces and by particular spaces of Besov-Orlicz type. In the second part, a new constructive isomorphism between the just mentioned sequence spaces and corresponding function spaces is established. Consequently, some results on the support function spaces for the Gaussian measure corresponding to the fractional Brownian motion are proved. Next, an application to stochastic equations is given. The...
Quelques résultats dans la théorie non-commutative des probabilités
Quelques résultats de décomposabilité en algèbre linéaire et en algèbre quadratique aléatoires
Quelques théorèmes ergodiques dans les espaces
q-variate minimal stationary processes
Rademacher series and decoupling.
Radonification of cylindrical semimartingales on Hilbert spaces
Radon-Nikodym property
For a Banach space and a probability space , a new proof is given that a measure , with , has RN derivative with respect to iff there is a compact or a weakly compact such that is a finite valued countably additive measure. Here we define where is a finite disjoint collection of elements from , each contained in , and satisfies . Then the result is extended to the case when is a Frechet space.
Random Fourier series on locally compact abelian groups
Random Fourier Series with Respect to a General Orthonormal System in L...(..) Spaces.
Random Integrals and Type and Cotype of Banach Space.
Random integrals of Banach space valued functions
Random Markov Mappings.
Random matrices, magic squares and matching polynomials.
Random permutations and unique fully supported ergodicity for the Euler adic transformation
There is only one fully supported ergodic invariant probability measure for the adic transformation on the space of infinite paths in the graph that underlies the eulerian numbers. This result may partially justify a frequent assumption about the equidistribution of random permutations.
Random seminormed spaces
Random walk on a building of type Ãr and brownian motion of the Weyl chamber
In this paper we study a random walk on an affine building of type Ãr, whose radial part, when suitably normalized, converges toward the brownian motion of the Weyl chamber. This gives a new discrete approximation of this process, alternative to the one of Biane (Probab. Theory Related Fields89 (1991) 117–129). This extends also the link at the probabilistic level between riemannian symmetric spaces of the noncompact type and their discrete counterpart, which had been previously discovered by Bougerol...