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Sbornik: Mathematics, 2020, Volume 211, Issue 4, Pages 594–615
DOI: https://doi.org/10.1070/SM8147 (Mi sm8147) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On ergodic flows with simple Lebesgue spectrum

A. A. Prikhod'koab

a Department of Innovations and High Technology, Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, Russia
b Caucasus Mathematical Center, Adyghe State University, Maikop, Russia
English version PDF (568 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM8147
Abstract: We prove the existence of ergodic flows with invariant probability measure having a Lebesgue spectrum of multiplicity $1$.
Bibliography: 15 titles.
Keywords: simple Lebesgue spectrum, Banach problem, flows of rank $1$, Littlewood polynomials.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00759-а
Ministry of Education and Science of the Russian Federation НШ-5998.2012.1
The work was supported by the Russian Foundation for Basic Research (grant no. 11-01-00759-a), and also within the framework of the Presidential Program for the State Support of Leading Scientific Schools (grant no. НШ-5998.2012.1).
Received: 14.06.2012 and 01.10.2019
Russian version:
Matematicheskii Sbornik, 2020, Volume 211, Number 4, Pages 123–144
DOI: https://doi.org/10.4213/sm8147
Bibliographic databases:
Document Type: Article
UDC: 517.538
MSC: Primary 37A10; Secondary 28D10
Language: English
Original paper language: Russian
Citation: A. A. Prikhod'ko, “On ergodic flows with simple Lebesgue spectrum”, Mat. Sb., 211:4 (2020), 123–144; Sb. Math., 211:4 (2020), 594–615
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:63
    First page:22
     
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