Typical orbits of quadratic polynomials with a neutral fixed point: Brjuno type

DOI10.1007/s00220-013-1747-5zbMath1323.37033arXiv1202.2282OpenAlexW3105303853MaRDI QIDQ358816

Davoud Cheraghi

Publication date: 9 August 2013

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.2282

zbMATH Keywords

renormalizationcomplex dynamicsBruno numbernear parabolic renormalizationpostcritical set

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Renormalization of holomorphic dynamical systems (37F25)

Related Items

Near parabolic renormalization for unicritical holomorphic maps ⋮ Arithmetic geometric model for the renormalisation of irrationally indifferent attractors ⋮ No hyperbolic sets in \(J_{\infty}\) for infinitely renormalizable quadratic polynomials ⋮ A proof of the Marmi-Moussa-Yoccoz conjecture for rotation numbers of high type ⋮ Lebesgue measure of Feigenbaum Julia sets

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