Brownian motion and transient groups

Nicolas Th. Varopoulos

Displaying similar documents to “Brownian motion and transient groups”

Brownian motion and random walks on manifolds

Nicolas Th. Varopoulos (1984)

Annales de l'institut Fourier

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We develop a procedure that allows us to “descretise” the Brownian motion on a Riemannian manifold. We construct thus a random walk that is a good approximation of the Brownian motion.

The Lenz shift and wiener sausage in riemannian manifolds

Isaac Chavel, Edgar A. Feldman (1986)

Compositio Mathematica

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The Hausdorff measure of the closed support of super-brownian motion

Edwin Perkins (1989)

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Simulations and conjectures for disconnection exponents.

Puckette, Emily E., Werner, Wendelin (1996)

Electronic Communications in Probability [electronic only]

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The construction of brownian motion on the Sierpinski carpet

Martin T. Barlow, Richard F. Bass (1989)

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Convergence to the brownian Web for a generalization of the drainage network model

Cristian Coletti, Glauco Valle (2014)

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

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We introduce a system of one-dimensional coalescing nonsimple random walks with long range jumps allowing paths that can cross each other and are dependent even before coalescence. We show that under diffusive scaling this system converges in distribution to the Brownian Web.

Brownian motion and generalized analytic and inner functions

Alain Bernard, Eddy A. Campbell, A. M. Davie (1979)

Annales de l'institut Fourier

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Let $f$ be a mapping from an open set in $R^{p}$ into $R^{q}$ , with $p > q$ . To say that $f$ preserves Brownian motion, up to a random change of clock, means that $f$ is harmonic and that its tangent linear mapping in proportional to a co-isometry. In the case $p = 2$ , $q = 2$ , such conditions signify that $f$ corresponds to an analytic function of one complex variable. We study, essentially that case $p = 3$ , $q = 2$ , in which we prove in particular that such a mapping cannot be “inner” if it is not trivial. A similar result for $p = 4$ ,...