Lace expansion for dummies

Friday, 4 December, 2015

Published in: 

arXiv:1512.01481

We show Green's function asymptotics for the two-point function of weakly self-avoiding walk in dimension bigger than 4, reproving a classic result by Brydges and Spencer in 1985. Our proof relies on Banach algebras to analyze the lace-expansion fixed point equation and is considerably simpler than previous approaches.

Author(s): 

Erwin Bolthausen
Remco van der Hofstad
Gady Kozma