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The Poisson boundary of random rational affinities

Sara Brofferio (2006)

Annales de l’institut Fourier

We prove that in order to describe the Poisson boundary of rational affinities, it is necessary and sufficient to consider the action on real and all $p$ -adic fileds.

The Poisson formula for groups with hyperbolic properties.

Kaimanovich, Vadim A. (2000)

Annals of Mathematics. Second Series

The Skorokhod oblique reflection problem in a convex polyhedron.

Shashiashvili, M. (1996)

Georgian Mathematical Journal

Théorie du potentiel associée à certains systèmes différentiels.

N. Bouleau (1981)

Mathematische Annalen

Théorie du renouvellement pour des chaînes semi-markoviennes transientes

M. Babillot (1988)

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

Théorie spectrale d'un opérateur de transition sur un espace métrique compact

Albert Raugi (1992)

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

Thinness and non-tangential limit associated to coupled PDE

Allami Benyaiche, Salma Ghiate (2013)

Commentationes Mathematicae Universitatis Carolinae

In this paper, we study the reduit, the thinness and the non-tangential limit associated to a harmonic structure given by coupled partial differential equations. In particular, we obtain such results for biharmonic equation (i.e. $▵^{2} ϕ = 0$ ) and equations of $▵^{2} ϕ = ϕ$ type.

Uniqueness for the Skorokhod equation with normal reflection in Lipschitz domains.

Bass, Richard F. (1996)

Electronic Journal of Probability [electronic only]

Where does randomness lead in spacetime?

Ismael Bailleul, Albert Raugi (2010)

ESAIM: Probability and Statistics

We provide an alternative algebraic and geometric approach to the results of [I. Bailleul, Probab. Theory Related Fields141 (2008) 283–329] describing the asymptotic behaviour of the relativistic diffusion.