Non-recurrence sets for weakly mixing linear dynamical systems
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Publication:5408732
DOI10.1017/etds.2012.116zbMath1346.37007arXiv1202.3114OpenAlexW3105971223MaRDI QIDQ5408732
Publication date: 11 April 2014
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.3114
Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)
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Cites Work
- Unnamed Item
- Hilbertian Jamison sequences and rigid dynamical systems
- Point spectra of partially power-bounded operators
- On a theorem of Godefroy and Shapiro
- Unimodular eigenvalues, uniformly distributed sequences and linear dynamics
- Size of the peripheral point spectrum under power or resolvent growth conditions
- Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
- On minimal actions of Polish groups
- Classifying dynamical systems by their recurrence properties
- Eigenvalues and power growth
- Unimodular eigenvalues and linear chaos in Hilbert spaces
- Frequently hypercyclic operators
- Invariant Gaussian measures for operators on Banach spaces and linear dynamics
- Poincaré recurrence and number theory
- On two recurrence problems
- The Equicontinuous Structure Relation for Minimal Abelian Transformation Groups
- Chromatic numbers of Cayley graphs on \(\mathbb Z\) and recurrence
