The Brjuno function continuously estimates the size of quadratic Siegel disks

DOI10.4007/annals.2006.164.265zbMath1109.37040arXivmath/0401044OpenAlexW1964540176WikidataQ56005157 ScholiaQ56005157MaRDI QIDQ855259

Xavier Buff, Arnaud Chéritat

Publication date: 4 January 2007

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401044

zbMATH Keywords

complex dynamicsBrjuno function

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Continued fractions; complex-analytic aspects (30B70) Polynomials and rational functions of one complex variable (30C10)

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