Sample behavior and laws of large numbers for Gaussian random elements.
Second order stochastic processes and the dilation theory in Banach spaces
Self-decomposable probability measures on Banach spaces
Self-similarity and fractional Brownian motion on Lie groups.
Semigroup actions on tori and stationary measures on projective spaces
Let Γ be a subsemigroup of G = GL(d,ℝ), d > 1. We assume that the action of Γ on is strongly irreducible and that Γ contains a proximal and quasi-expanding element. We describe contraction properties of the dynamics of Γ on at infinity. This amounts to the consideration of the action of Γ on some compact homogeneous spaces of G, which are extensions of the projective space . In the case where Γ is a subsemigroup of GL(d,ℝ) ∩ M(d,ℤ) and Γ has the above properties, we deduce that the Γ-orbits...
Semi-groupes de moments.
Semi-groupes holomorphes et -convexité
Semi-groupes holomorphes et -convexité (suite)
Semi-martingales banachiques : le théorème des trois opérateurs
Semistable convolution semigroups on measurable and topological groups
Semistable Measures and Limit Theorems on Real and p-adic Groups.
Semi-stable probability measures on
Separabilities of a gaussian Radon measure
Sequences or random variables in Lp for p<1.
Séries de Fourier aléatoirement bornées, continues uniformément convergentes
Séries de variables aléatoires gaussiennes à valeurs dans . Application aux produits d’espaces de Wiener abstraits
Series of independent vector valued random variables and absolute continuity of seminorms.
Shuffles of Min.
Copulas are functions which join the margins to produce a joint distribution function. A special class of copulas called shuffles of Min is shown to be dense in the collection of all copulas. Each shuffle of Min is interpreted probabilistically. Using the above-mentioned results, it is proved that the joint distribution of any two continuously distributed random variables X and Y can be approximated uniformly, arbitrarily closely by the joint distribution of another pair X* and Y* each of which...
Simple fractions and linear decomposition of some convolutions of measures
Every characteristic function φ can be written in the following way: φ(ξ) = 1/(h(ξ) + 1), where h(ξ) = ⎧ 1/φ(ξ) - 1 if φ(ξ) ≠ 0 ⎨ ⎩ ∞ if φ(ξ) = 0 This simple remark implies that every characteristic function can be treated as a simple fraction of the function h(ξ). In the paper, we consider a class C(φ) of all characteristic functions of the form , where φ(ξ) is a fixed characteristic function. Using the well known theorem on simple fraction decomposition of rational functions we obtain that convolutions...
Singularité du spectre de l'opérateur de Schrödinger aléatoire dans un ruban ou un demi-ruban