On Lundh's percolation diffusion
Carroll, T.
O'Donovan, Julie
Ortega Cerdà, Joaquim
Centre de Recerca Matemàtica

Imprint: Centre de Recerca Matemàtica 2011
Description: 11 p.
Abstract: A collection of spherical obstacles in the unit ball in Euclidean space is said to be avoidable for Brownian motion if there is a positive probability that Brownian motion diffusing from some point in the ball will avoid all the obstacles and reach the boundary of the ball. The centres of the spherical obstacles are generated according to a Poisson point process while the radius of an obstacle is a deterministic function. If avoidable con gurations are generated with positive probability Lundh calls this percolation di usion. An integral condition for percolation di ffusion is derived in terms of the intensity of the point process and the function that determines the radii of the obstacles.
Rights: L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: Creative Commons
Language: Anglès.
Series: Prepublicacions del Centre de Recerca Matemàtica
Series: Prepublicacions del Centre de Recerca Matemàtica ; 1026
Document: preprint
Subject: Percolació (Física estadística) ; Difusió

Adreça alternativa: http://hdl.handle.net/2072/179356
Adreça original: http://hdl.handle.net/2072/169951

11 p, 187.5 KB

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Research literature > Preprints

 Record created 2012-02-09, last modified 2017-10-21

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