Boshernitzan’s condition, factor complexity, and an application

DOI10.1090/bproc/90zbMath1505.37022arXiv2006.01931OpenAlexW3032915211MaRDI QIDQ5099091

Van Cyr, Bryna Kra

Publication date: 31 August 2022

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.01931

zbMATH Keywords

complexitySchrödinger operatorsubshiftuniquely ergodic

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Schrödinger operator, Schrödinger equation (35J10) Topological entropy (37B40) Symbolic dynamics (37B10)

Cites Work

• A unique ergodicity of minimal symbolic flows with linear block growth
• Absolutely continuous spectrum for 1D quasiperiodic operators.
• Reducibility or nonuniform hyperbolicity for quasiperiodic Schrödinger cocycles
• A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem
• A condition for unique ergodicity of minimal symbolic flows
• Schrödinger operators with dynamically defined potentials
• Uniqueness Theorems for Periodic Functions
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