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 |
|---|---|
| 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 |
Funding
Supported by SNF Grant 200020-138141. 2Supported by the Netherlands Organisation for Scientific Research (NWO) through VICI Grant 639.033.806 and the Gravitation NETWORKS Grant 024.002.003.
Keywords
- Banach algebra
- Deconvolution
- Edgeworth expansion
- Lace expansion
- Self-Avoiding walk
Fingerprint
Dive into the research topics of 'Lace expansion for dummies'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver