Primitive d'une mesure sur les compacts d'un espace métrique
Probabilistic representations of operator semigroups - A unifying approach.
Probabilités cylindriques, type et ordre. Applications radonifiantes
Probability measure functors preserving infinite-dimensional spaces
Probability measures on compact semitopological semigroups
Processus canoniquement mesurables (ou : Doob avait raison)
Produits semi-directs et application aux nilvariétés et aux tores en théorie ergodique
Produits tensoriels et , applications -sommantes, applications -radonifiantes
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
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 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.
Rectifications à « Semi-martingales banachiques, le théorème des trois opérateurs »
Relative Gleichverteilung in lokalkompakten Räumen II.
Remarks on Invariant Measures for Number Theoretic Transformations.
Remarks on stable measures on Banach spaces
Remarks on the hypotheses of duality
Représentation des endomorphismes de l'espace de Wiener qui préservent les martingales