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Matematicheskie Zametki, 2014, Volume 95, Issue 2, Pages 282–299
DOI: https://doi.org/10.4213/mzm10123 (Mi mzm10123) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Approximation of Mixing Transformations

S. V. Tikhonov

Russian State University of Trade and Economics, Moscow
Full-text PDF (570 kB) Citations (7)
References:
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DOI: https://doi.org/10.4213/mzm10123
Abstract: The problem of whether a class of mixing transformations is generic can be reduced to approximation problems. It is shown that a generic mixing can be approximated in the lead metric by transformations with a sufficiently wide set of limit operators. The results are used to prove that some of the spectral properties are generic.
Keywords: mixing transformation, limit operator, generecity, spectral property.
Received: 02.07.2012
Revised: 06.03.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 2, Pages 255–269
DOI: https://doi.org/10.1134/S0001434614010271
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: S. V. Tikhonov, “Approximation of Mixing Transformations”, Mat. Zametki, 95:2 (2014), 282–299; Math. Notes, 95:2 (2014), 255–269
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm10123
  • https://doi.org/10.4213/mzm10123
  • https://www.mathnet.ru/eng/mzm/v95/i2/p282
    • This publication is cited in the following 7 articles:
    1. Anatoly Stepin, Sergey Tikhonov, Contemporary Mathematics, 772, Topology, Geometry, and Dynamics, 2021, 311  crossref
    2. I. V. Klimov, “Simple Spectrum of Tensor Products and Typical Properties of Measure-Preserving Flows”, Math. Notes, 104:6 (2018), 927–929  mathnet  crossref  crossref  mathscinet  isi  elib
    3. Bashtanov A.I., “Conjugacy Classes Are Dense in the Space of Mixing $\mathbb{Z}^d$-Actions”, Math. Notes, 99:1-2 (2016), 9–23  mathnet  crossref  mathscinet  zmath  isi  scopus
    4. A. Yu. Kushnir, V. V. Ryzhikov, “Weak Closures of Ergodic Actions”, Math. Notes, 101:2 (2017), 277–283  mathnet  crossref  crossref  mathscinet  isi  elib
    5. S. V. Tikhonov, “On the Absence of Multiple Mixing and on the Centralizer of Measure-Preserving Actions”, Math. Notes, 97:4 (2015), 652–656  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    6. V. V. Ryzhikov, “On the Asymmetry of Multiple Asymptotic Properties of Ergodic Actions”, Math. Notes, 96:3 (2014), 416–422  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    7. V. V. Ryzhikov, “Ergodic homoclinic groups, Sidon constructions and Poisson suspensions”, Trans. Moscow Math. Soc., 75 (2014), 77–85  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    Full-text PDF :199
    References:124
    First page:36
     
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