Renormalization of fluctuations for a generalized Harper equation for periodic continued fractions

DOI10.1080/14689367.2014.984433zbMath1351.37172OpenAlexW1979330061MaRDI QIDQ5175400

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Publication date: 20 February 2015

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2014.984433

zbMATH Keywords

dihedral grouprenormalizationperiodic continued fractiongeneralized Harper equationstrange set

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Linear difference operators (47B39) Universality and renormalization of dynamical systems (37E20)

Cites Work

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• Self-similar correlations in a barrier billiard
• Metal-insulator transition for the almost Mathieu operator
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• Golden mean renormalization for the Harper equation: The strong coupling fixed point
• Schrödinger operators in the twentieth century
• Chaotic correlations in barrier billiards with arbitrary barriers
• Golden mean renormalization for a generalized Harper equation: The Ketoja–Satija orchid
• Renormalization of correlations and spectra of a strange non-chaotic attractor
• A garden of orchids: a generalized Harper equation at quadratic irrational frequencies
• Renormalization of correlations in a quasiperiodically forced two-level system: quadratic irrationals
• Renormalization analysis of correlation properties in a quasiperiodically forced two-level system
• Renormalization for the Harper equation for quadratic irrationals
• Fixed points of composition sum operators
• Single Band Motion of Conduction Electrons in a Uniform Magnetic Field

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