Spectral properties of renormalization for area-preserving maps

DOI10.3934/dcds.2016.36.3651zbMath1354.37046arXiv1412.5900OpenAlexW2962828473MaRDI QIDQ262042

Tomas Johnson, Denis G. Gaidashev

Publication date: 29 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5900

zbMATH Keywords

rigidityrenormalizationhyperbolicitycomputer-assisted proofperiod-doublingarea-preserving maps

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Universality and renormalization of dynamical systems (37E20) Dynamical aspects of twist maps (37E40)

Related Items (2)

On the invariant Cantor sets of period doubling type of infinitely renormalizable area-preserving maps ⋮ Rigidity for infinitely renormalizable area-preserving maps

Cites Work

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• Renormalization of Hamiltonians for Diophantine frequency vectors and KAM tori
• Rigidity for infinitely renormalizable area-preserving maps

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