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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