Lattice trees, percolation and super-Brownian motion

Details Lattice trees, percolation and super-Brownian motion Lattice trees, percolation and super-Brownian motion

1999-05-11

arxiv.org/abs/math/9905200v1

Mathematics

Probability

Scientific paper

This paper surveys the results of recent collaborations with Eric Derbez and
with Takashi Hara, which show that intergrated super-Brownian excursion (ISE)
arises as the scaling limit of both lattice trees and the incipient infinite
percolation cluster, in high dimensions. A potential extension to oriented
percolation is also mentioned.

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