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.
CITATION STYLE
Slade, G. (1999). Lattice Trees, Percolation and Super-Brownian Motion. In Perplexing Problems in Probability (pp. 35–51). Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2168-5_2
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