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
Representation of random linear functionals on certain spaces
Representations of flows and generalized Rudolph's theorem [Abstract of thesis]
Retractions and Open Mappings between Convex Sets.