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Mathematical Communications, Vol. 5 No. 1, 2000.

Original scientific paper

Intersection properties of Brownian paths

M. Kelbert

Full text: english pdf 142 Kb

page 75-85

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Abstract

This review presents a modern approach to intersections
of Brownian paths. It exploits the fundamental link
between intersection properties and percolation processes on trees.
More precisely, a Brownians path is intersect-equivalent to certain fractal percolation. It means that the intersection probabilities
of Brownian paths can be estimated up to constant factors by survival probabilities of certain branching processes.

Keywords

Brownian motion; stable processes; fractal percolation; intersect-equivalence; potential theory

Hrčak ID:

866

URI

https://hrcak.srce.hr/866

Publication date:

20.6.2000.

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