On the hyperbolicity of the period-doubling fixed point
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Publication:5714408
DOI10.1090/S0002-9947-05-03803-1zbMath1080.37053arXivmath/0301118OpenAlexW1648855614MaRDI QIDQ5714408
Publication date: 2 January 2006
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0301118
renormalizationuniversalityhyperbolicityperiod-doublingholomorphic motionsparabolic domainpetalsFeigenbaum operatorsemi-attractive fixed-point
Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Universality and renormalization of dynamical systems (37E20) Renormalization of holomorphic dynamical systems (37F25)
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Asymptotically holomorphic methods for infinitely renormalizable unimodal maps, Asymmetric unimodal maps with non-universal period-doubling scaling laws, On the susceptibility function of piecewise expanding interval maps, Puzzle geometry and rigidity: The Fibonacci cycle is hyperbolic
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