Radonification of cylindrical semimartingales on Hilbert spaces
Random Markov Mappings.
Random -ary sequence and mapping uniformly distributed
Višek [3] and Culpin [1] investigated infinite binary sequence with taking values or at random. They investigated also real mappings which have the uniform distribution on (notation ). The problem for -ary sequences is dealt with in this paper.
Random real trees
We survey recent developments about random real trees, whose prototype is the Continuum Random Tree (CRT) introduced by Aldous in 1991. We briefly explain the formalism of real trees, which yields a neat presentation of the theory and in particular of the relations between discrete Galton-Watson trees and continuous random trees. We then discuss the particular class of self-similar random real trees called stable trees, which generalize the CRT. We review several important results concerning stable...
Random trigonometric polynomials with nonidentically distributed coefficients.
Real almost zeros of random polynomials with complex coefficients.
Real zeros of a random polynomial with Legendre elements.
Real zeros of classes of random algebraic polynomials.
Real zeros of random algebraic polynomials with binomial elements.
Réarrangement, inégalités maximales et théorèmes ergodiques fractionnaires
Étant donné un semi-flot mesurable préservant une mesure de probabilité sur un espace , nous considérons les moyennes ergodiques où est un “poids” à support compact sur , c’est-à-dire que vérifie et . Nous démontrons la convergence p.p. de ces moyennes quand si appartient à l’espace de Lorentz défini par le poids qui est le réarrangé décroissant de . En particulier, pour , on obtient la convergence p.p. des moyennes de Césarò d’ordre
Régularité d'ordre quelconque pour un modèle statistique filtré
Relative stability and weak convergence in non-decreasing stochastically monotone Markov chains.
Remarks on Palm Measures