An extension of the inductive approach to the lace expansion

Details An extension of the inductive approach to the lace expansion An extension of the inductive approach to the lace expansion

2007-06-05

arxiv.org/abs/0706.0611v1

Mathematics

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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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