Spectral measure of the Thue–Morse sequence and the dynamical system and random walk related to it

DOI10.1017/ETDS.2014.121zbMath1351.37042OpenAlexW2136218986MaRDI QIDQ2813948

Li Peng, Teturo Kamae

Publication date: 17 June 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2014.121

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Related Items (2)

Characterization of noncorrelated pattern sequences and correlation dimensions ⋮ Spectral properties of pattern sequences of general degrees

Cites Work

• Substitution dynamical systems - spectral analysis
• On the correlation dimension of the spectral measure for the Thue-Morse sequence
• \(L^p\) estimate of convolution transform of singular measure by approximate identity
• Sur la mesure spectrale de certaines suites arithmétiques

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