Norm convergence of random walks on compact hypergroups.
Norm convergent expansion for -valued Gaussian random elements
Normalizers of compact subgroups, the existence of commuting automorphisms, and applications to operator semistable measures.
Noyaux multiplicatifs d'un processus de Markov
Numerical solutions of the mass transfer problem
Let μ and ν be two probability measures on the real line and let c be a lower semicontinuous function on the plane. The mass transfer problem consists in determining a measure ξ whose marginals coincide with μ and ν, and whose total cost ∫∫ c(x,y)dξ(x,y) is minimum. In this paper we present three algorithms to solve numerically this Monge-Kantorovitch problem when the commodity being shipped is one-dimensional and not necessarily confined to a bounded interval. We illustrate these numerical...
Obata’s Rigidity Theorem for Metric Measure Spaces
We prove Obata’s rigidity theorem for metric measure spaces that satisfy a Riemannian curvaturedimension condition. Additionally,we show that a lower bound K for the generalizedHessian of a sufficiently regular function u holds if and only if u is K-convex. A corollary is also a rigidity result for higher order eigenvalues.
Occurence times of rare events for mixing dynamical systems
On a characterization of gaussian measures in a Hilbert space
On a characterization theorem on finite Abelian groups.
On a class of covariance operators.
On a distribution problem in finite sets
On A Random Function Defined On A Pseudo Boolean Algebra
On a. s. convergence of classes of multivalued asymptotic martingales
On a surprising relation between the Marchenko–Pastur law, rectangular and square free convolutions
In this paper, we prove a result linking the square and the rectangular R-transforms, the consequence of which is a surprising relation between the square and rectangular versions the free additive convolutions, involving the Marchenko–Pastur law. Consequences on random matrices, on infinite divisibility and on the arithmetics of the square versions of the free additive and multiplicative convolutions are given.
On a theorem of Kłosowska about generalised convolutions
On A Theorem Of Möbius: Elementary Variations On The Polynomial Tonality.
On a Theorem of Wald and Wolfowitz on Randomization in Statistics.
On an orthonormal polynomial basis in the space C[-1,1]
We show that in the space C[-1,1] there exists an orthogonal algebraic polynomial basis with optimal growth of degrees of the polynomials.
On analytical properties of generalized convolutions
The paper is, for the most part, devoted to a survey of the analytical properties of generalized convolution algebras and their realizations. This issue appears to be the state of the art until now because intensive research on the generalized convolution and the related models still persists.
On approximation of copulas.