We show Green's function asymptotic upper bound for the two-point function of weakly self-Avoiding walk in d >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.
|Number of pages||13|
|Journal||Annales de l'institut Henri Poincare (B): Probability and Statistics|
|Publication status||Published - 1 Feb 2018|
- Banach algebra
- Edgeworth expansion
- Lace expansion
- Self-Avoiding walk