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- W2154339014 abstract "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." @default.
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- W2154339014 title "A new inductive approach to the lace expansion for self-avoiding walks" @default.
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- W2154339014 doi "https://doi.org/10.1007/s004400050168" @default.
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