ISSN:
1432-2064
Keywords:
Mathematics Subject Classification: (1991) 82B41
;
60K35
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary. We introduce a new inductive approach to the lace expansion, and apply it to prove Gaussian behaviour for the weakly self-avoiding walk on ℤ d where loops of length m are penalised by a factor e −β/m p (0〈β≪1) when: (1) d〉4, p≥0; (2) d≤4, . In particular, we derive results first obtained by Brydges and Spencer (and revisited by other authors) for the case d〉4, p=0. In addition, we prove a local central limit theorem, with the exception of the case d〉4, p=0.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s004400050168
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