123 research outputs found
Intersection properties of Brownian paths
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
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