Equidistribution and Brownian Motion on the Sierpinski Gasket.
Erratum et addendum : «Les dérivations en théorie descriptive des ensembles et le théorème de la borne»
Espacios con producto interior probabilístico.
Probabilistic inner product spaces are studied with detail.
Estimations de la fonction maximale de Hardy-Littlewood
On montre que la fonction maximale de Hardy-Littlewood est de type sur certains groupes de Lie et variétés de Cartan-Hadamard.
Étude de deux évolutions markoviennes de processus ponctuels sur R par des méthodes d'association
Expectation, conditional expectation and martingales in local fields.
Fourier transform of the probability measures.
Generalized convolutions and delphic semigroups
Geometry on the space of positive functions.
Green functions on self-similar graphs and bounds for the spectrum of the laplacian
Combining the study of the simple random walk on graphs, generating functions (especially Green functions), complex dynamics and general complex analysis we introduce a new method for spectral analysis on self-similar graphs.First, for a rather general, axiomatically defined class of self-similar graphs a graph theoretic analogue to the Banach fixed point theorem is proved. The subsequent results hold for a subclass consisting of “symmetrically” self-similar graphs which however is still more general then...
Harmonic analysis of symmetric random graphs
This note attempts to understand graph limits as defined by Lovasz and Szegedy in terms of harmonic analysis on semigroups. This is done by representing probability distributions of random exchangeable graphs as mixtures of characters on the semigroup of unlabeled graphs with node-disjoint union, thereby providing an alternative derivation of de Finetti's theorem for random exchangeable graphs.
Integrability of seminorms, the 0-1 law and the affine kernel for product measures
Isomorphically isometric probabilistic normed linear spaces.
Probabilistic normed linear spaces (briefly PNL spaces) were first studied by A. N. Serstnev in [1]. His definition was motivated by the definition of probabilistic metric spaces (PM spaces) which were introduced by K. Menger and subsequebtly developed by A. Wald, B. Schweizer, A. Sklar and others.In a previuos paper [2] we studied the relationship between two important classes of PM spaces, namely E-spaces and pseudo-metrically generated PM spaces. We showed that a PM space is pseudo-metrically...
-convexity and duality for almost summing operators.
La méthode des martingales appliquée à l'étude de la convergence en loi de processus
Laws of large numbers and the central limit theorems on a logic
Le déterminisme de la fonction brownienne dans l'espace de Hilbert. II
Les inégalités de Khintchine-Kahane, d'après C. Borell
Linear functionals in SLM-spaces
Many-dimensional observables on Łukasiewicz tribe: constructions, conditioning and conditional independence
Probability on collections of fuzzy sets can be developed as a generalization of the classical probability on -algebras of sets. A Łukasiewicz tribe is a collection of fuzzy sets which is closed under the standard fuzzy complementation and under the pointwise application of the Łukasiewicz t-norm to countably many fuzzy sets. An observable is a fuzzy set-valued mapping defined on a -algebra of sets and satisfying some additional properties; formally, the role of an observable is in a sense analogous...