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arXiv · 1512.01481

Lace expansion for dummies

Erwin Bolthausen·Remco van der Hofstad·Gady Kozma
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Abstract

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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Erwin Bolthausen, Remco van der Hofstad, Gady Kozma. 2015-12-04. Lace expansion for dummies. https://arxiv.org/abs/1512.01481

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