Lace expansion for dummies

Friday, 4 December, 2015

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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.


Erwin Bolthausen
Remco van der Hofstad
Gady Kozma