Abstract
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.
Original language | English |
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Pages (from-to) | 141-153 |
Number of pages | 13 |
Journal | Annales de l'institut Henri Poincare (B): Probability and Statistics |
Volume | 54 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Feb 2018 |
Keywords
- Banach algebra
- Deconvolution
- Edgeworth expansion
- Lace expansion
- Self-Avoiding walk