On the collection of spectral multiplicities \(\{2, 4,\dots,2^n\}\) for totally ergodic \(\mathbb Z^2\)-actions

DOI10.1134/S0001434614090089zbMath1370.37062OpenAlexW2072780540MaRDI QIDQ2342379

R. A. Konev, V. V. Ryzhikov

Publication date: 11 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434614090089

zbMATH Keywords

ergodic actioncyclic vectorlinear envelopecollection of spectral multiplicities

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85)

Related Items (2)

Weak closures of ergodic actions ⋮ Mixing flows with homogeneous spectrum of multiplicity 2

Cites Work

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• Spectral multiplicities for ergodic flows
• Transformations having homogeneous spectra
• On ergodic transformations with homogeneous spectrum
• A survey of recent results in the spectral theory of ergodic dynamical systems
• New spectral multiplicities for ergodic actions
• Mixing transformations with homogeneous spectrum
• Weak limits of powers, simple spectrum of symmetric products, and rank-one mixing constructions
• SPECTRAL PROPERTIES OF GENERIC DYNAMICAL SYSTEMS
• A survey on spectral multiplicities of ergodic actions
• Spectral multiplicities and asymptotic operator properties of actions with invariant measure
• Some new cases of realization of spectral multiplicity function for ergodic transformations

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