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Intersection properties of Brownian paths

M. Kelbert


Puni tekst: engleski pdf 142 Kb

str. 75-85

preuzimanja: 337

citiraj


Sažetak

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.

Ključne riječi

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

Hrčak ID:

866

URI

https://hrcak.srce.hr/866

Posjeta: 533 *