- 96-441 Eric Derbez, Gordon Slade.
- The scaling limit of lattice trees in high dimensions.
(122K, Latex)
Sep 25, 96
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Abstract. We prove that above eight dimensions the scaling limit
of sufficiently spread-out
lattice trees is the variant of super-Brownian motion known as
integrated super-Brownian excursion (ISE),
as conjectured by Aldous.
The same is true for nearest-neighbour lattice trees in sufficiently
high dimensions.
The proof uses the lace expansion.
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96-441.tex