Extension of the generalised inductive approach to the lace expansion: Full proof

Details Extension of the generalised inductive approach to the lace expansion: Full proof Extension of the generalised inductive approach to the lace expansion: Full proof

2007-05-25

arxiv.org/abs/0705.3798v1

Mathematics

Probability

Scientific paper

This paper extends the inductive approach to the lace expansion of van der
Hofstad and Slade in order to prove Gaussian asymptotic behaviour for models
with critical dimension other than 4. The results are applied by Holmes to
study sufficiently spread-out lattice trees in dimensions d>8 and may also be
applicable to percolation in dimensions d>6.

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