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 Electronic Communications in Probability > Vol. 13 (2008) > Paper 29 open journal systems 


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.


Full text: PDF

Pages: 291-301

Published on: June 15, 2008
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Electronic Communications in Probability. ISSN: 1083-589X