An extension of the inductive approach to the lace expansion

van der Hofstad, Remco; Holmes, Mark; Slade, Gordon

An extension of the inductive approach to the lace expansion

Authors

van der Hofstad, Remco

Holmes, Mark

Slade, Gordon

Description

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.