Lace expansion for dummies
Probability
2016-04-27 v2
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.
Keywords
Cite
@article{arxiv.1512.01481,
title = {Lace expansion for dummies},
author = {Erwin Bolthausen and Remco van der Hofstad and Gady Kozma},
journal= {arXiv preprint arXiv:1512.01481},
year = {2016}
}
Comments
Full proof in just 14 pages. New version corrects a few glitches