Lyapunov exponents of the spectral cocycle for topological factors of bijective substitutions on two letters

DOI10.3934/DCDS.2024019MaRDI QIDQ6493900

Juan Marshall-Maldonado

Publication date: 29 April 2024

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

zbMATH Keywords

exponential sumsspectrumLyapunov exponentssymbolic dynamicssubstitutionstwisted cocycle

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Symbolic dynamics (37B10)

Cites Work

• On the structure of Thue-Morse subwords, with an application to dynamical systems
• Topological conjugacy of constant length substitution dynamical systems
• On a problem of Gelfond: the sum of digits of prime numbers
• Systèmes de numération et fonctions fractales relatifs aux substitutions. (Numeration systems and fractal functions related to substitutions)
• The Hölder property for the spectrum of translation flows in genus two
• A spectral cocycle for substitution systems and translation flows
• Twisted translation flows and effective weak mixing
• On substitution automorphisms with pure singular spectrum
• Renormalisation of pair correlation measures for primitive inflation rules and absence of absolutely continuous diffraction
• Unbounded trace orbits of Thue-Morse Hamiltonian
• On the modulus of continuity for spectral measures in substitution dynamics
• Quantitative weak mixing for interval exchange transformations
• Substitutional dynamical systems, Bratteli diagrams and dimension groups
• Linearly recurrent subshifts have a finite number of non-periodic subshift factors
• Lyapunov exponents for binary substitutions of constant length
• An Introduction to Symbolic Dynamics and Coding
• Singular substitutions of constant length
• Questions Around the Thue-Morse Sequence

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