Mesures non σ-finies : désintégration et quelques autres propriétés
Nuclei ed operatori markoviani. Versioni regolari di operatori di speranza condizionale
On the equality between Monge's infimum and Kantorovich's minimum in optimal mass transportation
On the existence of disintegrations
On the Integration of Radon Measures and Set Functions.
Processus de Markov et désintégrations régulières
Un théorème classique exprime qu’à partir d’un semi-groupe d’opérateurs sur l’espace des fonctions continues tendant vers 0 à l’infini, , , , continue, , on peut construire un processus markovien “standard”, à trajectoires réglées et continues à droite, quasi-continu à gauche ; l’espace des états est supposé localement compact à base dénombrable d’ouverts. Nous supposons ici que l’espace des états est seulement universellement mesurable dans un souslinien complètement régulier ; le processus...
Processus gaussiens à variation finie
Radon-Nikodym theorem in spaces of measures.
Remarks concerning a decomposition of C. A. Rogers and S. J. Taylor.
Self-decomposable probability measures on Banach spaces
Sulla disintegrazione delle misure negli spazi localmente compatti
The Denjoy extension of the Riemann and McShane integrals
In this paper we study the Denjoy-Riemann and Denjoy-McShane integrals of functions mapping an interval into a Banach space It is shown that a Denjoy-Bochner integrable function on is Denjoy-Riemann integrable on , that a Denjoy-Riemann integrable function on is Denjoy-McShane integrable on and that a Denjoy-McShane integrable function on is Denjoy-Pettis integrable on In addition, it is shown that for spaces that do not contain a copy of , a measurable Denjoy-McShane integrable...
Two classes of measures
Un théorème de théorie de la mesure, lié à deux théorèmes de Mokobodzki
Uniqueness and approximate computation of optimal incomplete transportation plans
For α∈(0, 1) an α-trimming, P∗, of a probability P is a new probability obtained by re-weighting the probability of any Borel set, B, according to a positive weight function, f≤1/(1−α), in the way P∗(B)=∫Bf(x)P(dx). If P, Q are probability measures on euclidean space, we consider the problem of obtaining the best L2-Wasserstein approximation between: (a) a fixed probability and trimmed versions of the other; (b) trimmed versions of both probabilities. These best trimmed approximations naturally...
Uniqueness of the polar factorisation and projection of a vector-valued mapping
-algèbres, probabilités non commutatives et applications
Абстрактное дезинтегрирование в пространствах Канторовича.