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

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

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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.

Originele taal-2	Engels
Pagina's (van-tot)	141-153
Aantal pagina's	13
Tijdschrift	Annales de l'institut Henri Poincare (B): Probability and Statistics
Volume	54
Nummer van het tijdschrift	1
DOI's	https://doi.org/10.1214/16-AIHP797
Status	Gepubliceerd - 1 feb. 2018

Financiering

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.

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10.1214/16-AIHP797

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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.",

keywords = "Banach algebra, Deconvolution, Edgeworth expansion, Lace expansion, Self-Avoiding walk",

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KW - Self-Avoiding walk

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Lace expansion for dummies

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