Lace expansion for dummies

Erwin Bolthausen; Remco Van Der Hofstad; Gady Kozma

doi:10.1214/16-AIHP797

Lace expansion for dummies

Erwin Bolthausen
, Remco Van Der Hofstad
, Gady Kozma

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

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 GB
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	https://doi.org/10.1214/16-AIHP797
State	Published - Feb 2018

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1214/16-AIHP797

https://research.tue.nl/nl/publications/lace-expansion-for-dummiesLicense: Unspecified

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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.",

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AB - 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.

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M3 - مقالة

SN - 0246-0203

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IS - 1

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Lace expansion for dummies

Abstract

ASJC Scopus subject areas

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