A renormalization group explanation of numerical observations of analyticity domains |
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| Authors: | Rafael de la Llave |
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| Institution: | (1) Department of Mathematics, University of Texas at Austin, 78712 Austin, Texas |
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| Abstract: | A recent paper considers 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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| Keywords: | Analyticity domains breakup of tori renormalization group |
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