A priori bounds for some infinitely renormalizable quadratics: II. Decorations

DOI10.24033/asens.2063zbMath1156.37311arXivmath/0609046OpenAlexW2962803951MaRDI QIDQ3605964

Jeremy Kahn, Mikhail Lyubich

Publication date: 25 February 2009

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609046

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (14)

Complex bounds for real maps ⋮ On Poincaré series of unicritical polynomials at the critical point ⋮ No hyperbolic sets in \(J_{\infty}\) for infinitely renormalizable quadratic polynomials ⋮ Asymptotically holomorphic methods for infinitely renormalizable unimodal maps ⋮ Upper bounds for the moduli of polynomial-like maps ⋮ Nice inducing schemes and the thermodynamics of rational maps ⋮ Local connectivity of the Mandelbrot set at some satellite parameters of bounded type ⋮ Combinatorial rigidity for some infinitely renormalizable unicritical polynomials ⋮ Tessellation and Lyubich–Minsky laminations associated with quadratic maps, II: Topological structures of 3-laminations ⋮ The dual nest for degenerate Yoccoz puzzles ⋮ Homeomorphisms between limbs of the Mandelbrot set ⋮ The full renormalization horseshoe for unimodal maps of higher degree: exponential contraction along hybrid classes ⋮ Lebesgue measure of Feigenbaum Julia sets ⋮ Quasi-conformal rigidity of multicritical maps

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