@article{46aa8eae0d7b4b18a323263bdc2e876b,
title = "Lace expansion for dummies",
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.",
author = "Erwin Bolthausen and {Van Der Hofstad}, Remco and Gady Kozma",
note = "This work was performed in part during a visit of RvdH to the Weizmann Institute, and when the authors met in Eurandom, Oberwolfach and the Institut Henri Poincar{\'e}. We thank these institutions for their hospitality. Supported by SNF Grant 200020-138141. Supported by the Netherlands Organisation for Scientific Research (NWO) through VICI Grant 639.033.806 and the Gravitation NETWORKS Grant 024.002.003. Supported by the Israel Science Foundation and the Jesselson Foundation, and by the CNRS during his visit to the Institut Heni Poincar{\'e}.",
year = "2018",
month = feb,
doi = "https://doi.org/10.1214/16-AIHP797",
language = "الإنجليزيّة",
volume = "54",
pages = "141--153",
journal = "Annales de l'institut Henri Poincare (B) Probability and Statistics",
issn = "0246-0203",
publisher = "Institute of Mathematical Statistics",
number = "1",
}