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The first part of the paper presents results on Gaussian measures supported by general Banach sequence spaces and by particular spaces of Besov-Orlicz type. In the second part, a new constructive isomorphism between the just mentioned sequence spaces and corresponding function spaces is established. Consequently, some results on the support function spaces for the Gaussian measure corresponding to the fractional Brownian motion are proved. Next, an application to stochastic equations is given. The...

Quelques exercices d'utilisation des critères de A. A. Markov

M. Petruszewycz (1979)

Mathématiques et Sciences Humaines

Quelques inégalités concernant les martingales

D. Lepingle (1976)

Studia Mathematica

Quelques problèmes associés au processus de Donsker-Varadhan

Liming Wu (1996)

Annales mathématiques Blaise Pascal

Quelques propriétés des librairies d'Aven, Boguslavsky et Kogan

Jacques-Édouard Dies (1982)

Annales de l'I.H.P. Probabilités et statistiques

Quelques propriétés des résolvantes récurrentes au sens de Harris

M. Brancovan (1973)

Annales de l'I.H.P. Probabilités et statistiques

Quelques remarques sur un article de Donsker et Varadhan

Jean Saint Raymond (1978)

Séminaire de probabilités de Strasbourg

Quenched law of large numbers for branching brownian motion in a random medium

János Engländer (2008)

Annales de l'I.H.P. Probabilités et statistiques

We study a spatial branching model, where the underlying motion is d-dimensional (d≥1) brownian motion and the branching rate is affected by a random collection of reproduction suppressing sets dubbed mild obstacles. The main result of this paper is the quenched law of large numbers for the population for all d≥1. We also show that the branching brownian motion with mild obstacles spreads less quickly than ordinary branching brownian motion by giving an upper estimate on its speed. When the underlying...

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