An extension of the inductive approach to the lace expansion
Probability
2007-06-06 v1
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.
Keywords
Cite
@article{arxiv.0706.0611,
title = {An extension of the inductive approach to the lace expansion},
author = {Remco van der Hofstad and Mark Holmes and Gordon Slade},
journal= {arXiv preprint arXiv:0706.0611},
year = {2007}
}