Izvorni znanstveni članak
Intersection properties of Brownian paths
M. Kelbert
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
Datum izdavanja:
20.6.2000.
Posjeta: 1.394 *