On explicit connections between dynamical and parameter spaces

DOI10.1007/BF02788792zbMath1073.37054OpenAlexW2060921964MaRDI QIDQ1880935

Genadi Levin

Publication date: 27 September 2004

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

Full work available at URL: https://doi.org/10.1007/bf02788792

zbMATH Keywords

Julia setMandelbrot setmotion of periodic pointpolynomial like maps

Mathematics Subject Classification ID

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)

Related Items (5)

Multipliers of periodic orbits of quadratic polynomials and the parameter plane ⋮ The dynatomic periodic curves for polynomial \(z\mapsto z^d+c\) are smooth and irreducible ⋮ Transversality in the setting of hyperbolic and parabolic maps ⋮ Rigidity and non-local connectivity of Julia sets of some quadratic polynomials ⋮ Multipliers of periodic orbits in spaces of rational maps

Cites Work

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• A Ruelle operator for a real Julia set
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• On an analytic approach to the Fatou conjecture
• On the dynamics of rational maps
• On the dynamics of polynomial-like mappings
• A simple proof for monotonicity of entropy in the quadratic family
• Complex Dynamics and Renormalization (AM-135)
• Renormalization and 3-Manifolds Which Fiber over the Circle

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