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Matematicheskie Zametki, 2014, Volume 96, Issue 3, Pages 383–392
DOI: https://doi.org/10.4213/mzm10191 (Mi mzm10191) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the Collection of Spectral Multiplicities $\{2,4,\dots,2^n\}$ for Totally Ergodic $\mathbb{Z}^2$-Actions

R. A. Konev, V. V. Ryzhikov

M. V. Lomonosov Moscow State University
Full-text PDF (488 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm10191
Abstract: The paper is devoted to the realization of collections of spectral multiplicities for ergodic $\mathbb{Z}^2$-actions. Sufficient conditions ensuring the realizability of multiplicities of the form $\{2,4,\dots,2^n\}$ are given.
Keywords: collection of spectral multiplicities $\{2,4,\dots,2^n\}$, ergodic $\mathbb{Z}^2$-action, spectral multiplicity of an ergodic action, linear envelope, cyclic vector.
Received: 24.12.2012
Revised: 09.04.2014
English version:
Mathematical Notes, 2014, Volume 96, Issue 3, Pages 360–368
DOI: https://doi.org/10.1134/S0001434614090089
Bibliographic databases:
Document Type: Article
UDC: 517.987
Language: Russian
Citation: R. A. Konev, V. V. Ryzhikov, “On the Collection of Spectral Multiplicities $\{2,4,\dots,2^n\}$ for Totally Ergodic $\mathbb{Z}^2$-Actions”, Mat. Zametki, 96:3 (2014), 383–392; Math. Notes, 96:3 (2014), 360–368
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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