On the dynamics of a general unitary operator

DOI10.1016/S0034-4877(97)85620-0zbMath0908.47005MaRDI QIDQ1381953

Oliver Knill

Publication date: 18 March 1999

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Schrödinger equationtopological entropyunitary operatortopological dynamical systemergodic \(U\)-invariant measurestrictly ergodic group translationweakly compact unit ball

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15)

Cites Work

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• Substitution dynamical systems. Spectral analysis
• Non-relativistic quantum dynamics
• Ergodic theory on compact spaces
• Operators with singular continuous spectrum. I: General operators
• Singular continuous spectrum for palindromic Schrödinger operators
• Subadditive mean ergodic theorems
• Genericity of Certain Classes of Unitary and Self-Adjoint Operators

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