Multifractal analysis of the spectral measure of the Thue–Morse sequence: a periodic orbit approach

DOI10.1088/0305-4470/39/35/002zbMath1097.81032OpenAlexW1964219329MaRDI QIDQ5489704

Zai-Qiao Bai

Publication date: 28 September 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/39/35/002

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Topological dynamics (37B99) Time series analysis of dynamical systems (37M10) Automata sequences (11B85) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Random dynamical systems (37H99)

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On the spectrum of the Thue-Morse quasicrystal and the rarefaction phenomenon

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