The attractor of Fibonacci-like renormalization operator

DOI10.1007/s10114-020-9185-8zbMath1465.37054OpenAlexW3102188290MaRDI QIDQ2663292

Yanyan Li

Publication date: 16 April 2021

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-020-9185-8

zbMATH Keywords

renormalizationFibonacci combinatoricsprincipal nest

Mathematics Subject Classification ID

Combinatorial dynamics (types of periodic orbits) (37E15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• On the concept of attractor
• Feigenbaum-Coullet-Tresser universality and Milnor's hairiness conjecture
• Invariant measures exist without a growth condition
• Decay of correlations for Fibonacci unimodal interval maps
• Combinatorics, geometry and attractors of quasi-quadratic maps
• Universality of critical circle covers
• Wild Cantor attractors exist
• Rigidity for real polynomials
• Decay of geometry for unimodal maps: an elementary proof
• A new class of generalized Fibonacci unimodal maps
• An improved real C^k Koebe principle
• Puzzle geometry and rigidity: The Fibonacci cycle is hyperbolic
• The topological complexity of Cantor attractors for unimodal interval maps
• The Fibonacci Unimodal Map
• Distortion results and invariant Cantor sets of unimodal maps
• Topological conditions for the existence of absorbing Cantor sets
• Limit drift
• Real C^kKoebe principle
• Real bounds, ergodicity and negative Schwarzian for multimodal maps

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