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Let $(X, d_{X})$ , $(Ω, d_{Ω})$ be complete separable metric spaces. Denote by (X) the space of probability measures on X, by $W_{p}$ the p-Wasserstein metric with some p ∈ [1,∞), and by $_{p} (X)$ the space of probability measures on X with finite Wasserstein distance from any point measure. Let $f : Ω \to_{p} (X)$ , $ω \mapsto f_{ω}$ , be a Borel map such that f is a contraction from $(Ω, d_{Ω})$ into $(_{p} (X), W_{p})$ . Let ν₁,ν₂ be probability measures on Ω with $W_{p} (ν ₁, ν ₂)$ finite. On X we consider the subordinated measures $μ_{i} = \int_{Ω} f_{ω} d ν_{i} (ω)$ . Then $W_{p} (μ ₁, μ ₂) \leq W_{p} (ν ₁, ν ₂)$ . As an application we show that the solution measures $ϱ_{α} (t)$ to the partial...

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Unconditional convergence of random series and the geometry of Banach spaces.

Une définition qualitative de l'indépendance et ses applications

Une démonstration du théorème de séparation des ensembles analytiques

Une remarque sur les bimesures

Une remarque sur les espaces sousliniens de Bourbaki

Une remarque sur les processus gaussiens définissant des mesures $L^{2}$

Unicité de certaines mesures quasi-invariantes sur $𝒞 (R)$

Uniqueness for Gibbs measures of quantum lattices in small mass regime

Uniqueness Theorems for Gaussian Measures in lq, 1<..q<... .

Universally measurable spaces: an invariance theorem and diverse characterizations

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Wasserstein metric and subordination

Weak convergence in Hoffmann-Jorgensen sense

Weighted Csiszár-Kullback-Pinsker inequalities and applications to transportation inequalities

τ-régularité des lois, séparation au sens de A. Tulcea et propriété de Radon-Nikodym

Вероятности больших уклонений на борелевских множествах

Вероятностные меры в бесконечномерных пространствах

Замечания о слабой бикомпактности сети положительных мер

Локальные оценки функции концентрации Леви в многомерном и гильбертовом пространстве

Метрические расстояния в пространстве случайных величин и их распределений

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