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Matematicheskie Zametki, 2002, Volume 72, Issue 4, Pages 625–632
DOI: https://doi.org/10.4213/mzm450 (Mi mzm450) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Recurrence in Mean

I. D. Shkredov

M. V. Lomonosov Moscow State University
Full-text PDF (187 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm450
Abstract: In this paper, the mean values of the recurrence and N-recurrence constants are computed; in the topological case, the recurrence constant is found.
English version:
Mathematical Notes, 2002, Volume 72, Issue 4, Pages 576–582
DOI: https://doi.org/10.1023/A:1020548815535
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: I. D. Shkredov, “Recurrence in Mean”, Mat. Zametki, 72:4 (2002), 625–632; Math. Notes, 72:4 (2002), 576–582
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm450
  • https://doi.org/10.4213/mzm450
  • https://www.mathnet.ru/eng/mzm/v72/i4/p625
    • This publication is cited in the following 10 articles:
    1. Nikos Frantzikinakis, Randall McCutcheon, Encyclopedia of Complexity and Systems Science Series, Ergodic Theory, 2023, 61  crossref
    2. Zhao C., Ji Y., “Recurrence in Mean For Group Actions”, Stoch. Dyn., 20:1 (2020), 2050006  crossref  mathscinet  isi  scopus
    3. Nikos Frantzikinakis, Randall McCutcheon, Encyclopedia of Complexity and Systems Science, 2020, 1  crossref
    4. V. S. Anishchenko, S. V. Astakhov, “Poincaré recurrence theory and its applications to nonlinear physics”, Phys. Usp., 56:10 (2013), 955–972  mathnet  crossref  crossref  adsnasa  isi  elib
    5. Michael Boshernitzan, Jon Chaika, “Diophantine properties of IETs and general systems: quantitative proximality and connectivity”, Invent. math., 192:2 (2013), 375  crossref
    6. Kim, DH, “Quantitative recurrence properties for group actions”, Nonlinearity, 22:1 (2009), 1  crossref  mathscinet  adsnasa  isi  elib  scopus  scopus
    7. I. D. Shkredov, “On a problem of Gowers”, Izv. Math., 70:2 (2006), 385–425  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    8. I. D. Shkredov, “Szemerédi's theorem and problems on arithmetic progressions”, Russian Math. Surveys, 61:6 (2006), 1101–1166  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    9. I. D. Shkredov, “Dynamical systems with low recurrence rate”, Sb. Math., 197:11 (2006), 1697–1712  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    10. Galatolo, S, “The recurrence time for ergodic systems with infinite invariant measures”, Nonlinearity, 19:11 (2006), 2567  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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