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Название: A Renormalization Group Explanation of Numerical Observations of Analyticity Domains
Автор: de la Llave R.
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.