On an analytic approach to the Fatou conjecture

DOI10.4064/fm171-2-5zbMath0984.37046OpenAlexW2047679901WikidataQ122914476 ScholiaQ122914476MaRDI QIDQ2778632

Genadi Levin

Publication date: 5 March 2002

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm171-2-5

zbMATH Keywords

Julia setquadratic polynomialsFatou conjecturehyperbolic quadratic polynomialsmeasurable invariant linefield

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

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