Lace expansion for dummies
classification
🧮 math.PR
keywords
functionalgebrasanalyseapproachesasymptoticavoidsbanachbigger
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We show Green's function asymptotic upper bound for the two-point function of weakly self-avoiding walk in dimension bigger than 4, revisiting a classic problem. Our proof relies on Banach algebras to analyse the lace-expansion fixed point equation and is simpler than previous approaches in that it avoids Fourier transforms.
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