A renormalization group explanation of numerical observations of analyticity domains (Q1203291)
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scientific article; zbMATH DE number 112006
| Language | Label | Description | Also known as |
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| English | A renormalization group explanation of numerical observations of analyticity domains |
scientific article; zbMATH DE number 112006 |
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A renormalization group explanation of numerical observations of analyticity domains (English)
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1 September 1994
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\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.
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analyticity domains
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breakup of tori
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renormalization group
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