Lattice trees, percolation and super-Brownian motion
Probability
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/9905200,
title = {Lattice trees, percolation and super-Brownian motion},
author = {Gordon Slade},
journal= {arXiv preprint arXiv:math/9905200},
year = {2007}
}