Gaussian Random Series on Metric Vector Spaces.
T. Byczkowski, T. Inglot (1987)
Mathematische Zeitschrift
Herbert Heyer, Christian Rall (1972)
Mathematische Zeitschrift
Víctor Hernández, Juan J. Romo (1986)
Trabajos de Estadística
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 → ∞
Jia-An Yan (1989)
Séminaire de probabilités de Strasbourg
J. Gilewski (1972)
Colloquium Mathematicae
Piotr Nowak, Olgierd Hryniewicz (2015)
Kybernetika
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...
Dixon, John D. (2008)
The Electronic Journal of Combinatorics [electronic only]
K. Urbanik (1979)
Banach Center Publications
Gzyl, Henryk, Recht, Lazaro (2007)
Boletín de la Asociación Matemática Venezolana
J. Linhart, F. Österreicher (1980)
Monatshefte für Mathematik
F. Kinzl (1979)
Semigroup forum
K. Aomoto, Y. Kato (1988)
Annales de l'institut Fourier
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.
Bernhard Krön (2002)
Annales de l’institut Fourier
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...
Gérard Letac (1972)
Annales de l'I.H.P. Probabilités et statistiques
N. Th. Varopoulos (1995)
Annales de l'I.H.P. Probabilités et statistiques
Matthias Vogel (1988)
Mathematische Annalen
Steffen Lauritzen (2020)
Kybernetika
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.
S. G. Dani (1984)
Compositio Mathematica
Bernhard Leeb (1993)
Mathematische Annalen
Sébastien Blachère, Peter Haïssinsky, Pierre Mathieu (2011)
Annales scientifiques de l'École Normale Supérieure
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.