Annales Academię Scientiarum Fennicę
Mathematica
Volumen 32, 2007, 223-234

CONFIGURATIONS OF BALLS IN EUCLIDEAN SPACE THAT BROWNIAN MOTION CANNOT AVOID

Tom Carroll and Joaquim Ortega-Cerdą

University College Cork, Department of Mathematics
Aras Na Laoi, Cork, Ireland; t.carroll 'at' ucc.ie

Universitat de Barcelona, Departament de Matemątica Applicada i Anąlisi
Gran Via 585, 08007-Barcelona, Spain; jortega 'at' ub.edu

Abstract. We consider a collection of balls in Euclidean space and the problem of determining if Brownian motion has a positive probability of avoiding all the balls indefinitely.

2000 Mathematics Subject Classification: Primary 31B05, 60J65.

Key words: Brownian motion, harmonic measure.

Reference to this article: T. Carroll and J. Ortega-Cerdą: Configurations of balls in Euclidean space that Brownian motion cannot avoid. Ann. Acad. Sci. Fenn. Math. 32 (2007), 223-234.

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