Renormalization in one-dimensional dynamics
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Publication:3090113
DOI10.1080/10236190902998016zbMath1258.37046OpenAlexW2144571180MaRDI QIDQ3090113
Publication date: 26 August 2011
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236190902998016
Dynamical systems involving maps of the interval (37E05) Universality and renormalization of dynamical systems (37E20)
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Cites Work
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- The full renormalization horseshoe for unimodal maps of higher degree: exponential contraction along hybrid classes
- Robust rigidity for circle diffeomorphisms with singularities
- Julia-Fatou-Sullivan theory for real one-dimensional dynamics
- Local connectivity of the Julia set of real polynomials
- Feigenbaum-Coullet-Tresser universality and Milnor's hairiness conjecture
- Dynamics of quadratic polynomials: complex bounds for real maps
- Dynamics of quadratic polynomials. I, II
- Renormalization horseshoe for critical circle maps
- Regular or stochastic dynamics in real analytic families of unimodal maps
- A structure theorem in one dimensional dynamics
- Quantitative universality for a class of nonlinear transformations
- Almost every real quadratic map is either regular or stochastic.
- Rigidity of \(C^2\) infinitely renormalizable unimodal maps
- Statistical properties of unimodal maps
- Global hyperbolicity of renormalization for \(C^r\) unimodal mappings
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