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math.PR2007★ 1 cited
An extension of the inductive approach to the lace expansion
Remco van der Hofstad, Mark Holmes, Gordon Slade
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 o…
math.PR2007★ 2 cited
Extension of the generalised inductive approach to the lace expansion: Full proof
Remco van der Hofstad, Mark Holmes, Gordon Slade
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 othe…