An extension of the inductive approach to the lace expansion
Mark P Holmes, University of Auckland
Remco van der Hofstad, Eindhoven University of Technology
Gordon Slade, University of British Columbia
Abstract
We extend the inductive approach to the lace expansion, previously
developed to study models with critical dimension 4, to be
applicable more generally. In particular, the result of this note
has recently been used to prove Gaussian asymptotic behaviour for
the Fourier transform of the two-point function for sufficiently
spread-out lattice trees in dimensions d>8, and it is potentially also
applicable to percolation in dimensions d>6.
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