A renormalization group explanation of numerical observations of analyticity domains
type: Item
instance of: scholarly article
title: A renormalization group explanation of numerical observations of analyticity domains
zbMATH Open document ID: 0892.58072
DOI: 10.1007/BF01054438
published in: Journal of Statistical Physics
publication date: 1994-09-01T00:00:00Z
review text: \textit{A. Berretti}, \textit{A. Celetti}, \textit{L. Chierchia} and \textit{C. Falcolini} [ibid., 1613-1630 (1992; Zbl 0892.58062), see the review above] consider the dependence of the size of analyticity domains of some functions appearing in KAM theory as a function of the distance to breakdown. They tentatively conclude that the relation is linear. In this note we argue that McKay's renormalization group picture predicts a power-law dependence with an exponent close to 1 but not equal to 1.
Mathematics Subject Classification ID: 37N99
Mathematics Subject Classification ID: 82B28
zbMATH DE Number: 112006
zbMATH Keywords: analyticity domains
zbMATH Keywords: breakup of tori
zbMATH Keywords: renormalization group
author: Rafael de la Llave
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 112006