Gaussian Random Series on Metric Vector Spaces.
Gaußsche Wahrscheinlichkeitsmaße auf Corwinschen Gruppen.
Generalización del teorema de Hanson y Russo para B-variables aleatorias.
En este trabajo se presenta una generalización de un teorema de D. L. Hanson y R. P. Russo (1981) para variables aleatorias i.i.d. que toman valores en un espacio de Banach separable (B-variables), en el esquema más general de la ley de Marcinkiewicz y Zygmund.Imponiendo condiciones sobre los momentos y el tipo Rademacher del espacio se obtienen resultados de la formamáx(np/α≤j≤n) j-1/p ||Sn - Sn-j|| → 0, casi seguro, cuando n → ∞
Generalizations of Gross's and Minlos's theorems
Generalized convolutions and delphic semigroups
Generalized versions of MV-algebraic central limit theorems
MV-algebras can be treated as non-commutative generalizations of boolean algebras. The probability theory of MV-algebras was developed as a generalization of the boolean algebraic probability theory. For both theories the notions of state and observable were introduced by abstracting the properties of the Kolmogorov's probability measure and the classical random variable. Similarly, as in the case of the classical Kolmogorov's probability, the notion of independence is considered. In the framework...
Generating random elements in finite groups.
Geometric decomposability properties of probability measures
Geometry on the space of positive functions.
Gleichmäßige Verteilung von Punkten in gewissen metrischen Räumen, speziell auf der Kugel.
Gleichverteilung auf diskreten Halbgruppen.
Green functions and spectra on free products of cyclic groups
Green functions of a stochastic operator on a free product of cyclic groups are explicitly evaluated as algebraic functions. The spectra are investigated by Morse theoretic argument.
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...
Groupe de Stam d'une probabilité
Hardy-Littlewood theory on unimodular groups
Harmonic Analysis and Spectral Synthesis in Central Hypergroups.
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.
Harmonic ergodicity of actions of certain discrete linear groups
Harmonic functions along Brownan balls an the Liouville property for solvable Lie groups.
Harmonic measures versus quasiconformal measures for hyperbolic groups
We establish a dimension formula for the harmonic measure of a finitely supported and symmetric random walk on a hyperbolic group. We also characterize random walks for which this dimension is maximal. Our approach is based on the Green metric, a metric which provides a geometric point of view on random walks and, in particular, which allows us to interpret harmonic measures as quasiconformal measures on the boundary of the group.