Analytic maps of parabolic and elliptic type with trivial centralisers

DOI10.4171/AIHPC/22MaRDI QIDQ2693527

Alexander Eliad, Davoud Cheraghi, Artur Avila

Publication date: 21 March 2023

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.13336

zbMATH Keywords

analytic centraliser

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) 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)

Related Items (1)

Quasisymmetric orbit-flexibility of multicritical circle maps

Cites Work

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• On commuting circle mappings and simultaneous Diophantine approximations
• Commutative automorphism groups of a compact Kähler manifold
• Smooth linearization of commuting circle diffeomorphisms
• Permutable entire functions
• Permutable entire functions and multiply connected wandering domains
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Dynamics of the complex standard family
• On holomorphic permutable endomorphisms of \({\mathbb P}^k\).
• Non linearizable holomorphic dynamics having an uncountable number of symmetries
• Iteration of analytic functions
• Siegel discs, Herman rings and the Arnold family
• On Permutable Integral Functions
• Permutable entire functions and Baker domains
• Commuting pairs of endomorphisms of

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