Spectral multiplicity in ergodic theory

DOI10.1134/S0081543815070019zbMath1362.37012MaRDI QIDQ5964970

D. V. Anosov

Publication date: 2 March 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

spectral multiplicitycuttingspectral theoremstacking

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items

Mixing sets for rigid transformations, Anatole Katok, On ergodic flows with simple Lebesgue spectrum

Cites Work

• On the spectral multiplicity function of dynamical systems
• Transformations having homogeneous spectra
• On ergodic transformations with homogeneous spectrum
• A survey of recent results in the spectral theory of ergodic dynamical systems
• On the multiplicity function of generic group extensions with continuous spectrum
• EXISTENCE OF SMOOTH ERGODIC FLOWS ON SMOOTH MANIFOLDS
• ERGODIC PERTURBATIONS OF DEGENERATE INTEGRABLE HAMILTONIAN SYSTEMS
• Systems of finite rank
• On the spectrum of Cartesian powers of classical automorphisms
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