- 96-441 Eric Derbez, Gordon Slade.
- The scaling limit of lattice trees in high dimensions.
Sep 25, 96
(auto. generated ps),
of related papers
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
The proof uses the lace expansion.