Ruelle operators with rational weights for Julia sets

DOI10.1007/BF03008428zbMath0988.37026WikidataQ122149305 ScholiaQ122149305MaRDI QIDQ1326651

Mikhail Sodin, Peter Yuditskii, Genadi Levin

Publication date: 25 June 2002

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

Julia settransfer operatorsRuelle operatorFatou setbasins of attractioniterated rational 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) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (5)

Positive transversality via transfer operators and holomorphic motions with applications to monotonicity for interval maps ⋮ Spectral structure of transfer operators for expanding circle maps ⋮ Stability and collapse of the Lyapunov spectrum for Perron-Frobenius operator cocycles ⋮ Multipliers of periodic orbits in spaces of rational maps ⋮ On the distribution of zeros of a Ruelle zeta-function

Cites Work

• An extension of the theory of Fredholm determinants
• The thermodynamic formalism for expanding maps
• A Ruelle operator for a real Julia set
• A note on the Artuso-Aurell-Cvitanovic approach to the Feigenbaum tangent operator
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