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Russian Mathematical Surveys, 1994, Volume 49, Issue 5, Pages 1–18
DOI: https://doi.org/10.1070/RM1994v049n05ABEH002417
(Mi rm1233)
 

This article is cited in 15 scientific papers (total in 17 papers)

On the contribution of N. N. Bogolyubov to the theory of dynamical systems

D. V. Anosov

Steklov Mathematical Institute, Russian Academy of Sciences
References:
Received: 29.04.1993
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 01A70, 37C25, 37A50
Language: English
Original paper language: Russian
Citation: D. V. Anosov, “On the contribution of N. N. Bogolyubov to the theory of dynamical systems”, Russian Math. Surveys, 49:5 (1994), 1–18
Citation in format AMSBIB
\Bibitem{Ano94}
\by D.~V.~Anosov
\paper On the contribution of N.\,N.~Bogolyubov to the theory of dynamical systems
\jour Russian Math. Surveys
\yr 1994
\vol 49
\issue 5
\pages 1--18
\mathnet{http://mi.mathnet.ru/eng/rm1233}
\crossref{https://doi.org/10.1070/RM1994v049n05ABEH002417}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1311227}
\zmath{https://zbmath.org/?q=an:0877.34003}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1994RuMaS..49....1A}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994RX38600001}
Linking options:
  • https://www.mathnet.ru/eng/rm1233
  • https://doi.org/10.1070/RM1994v049n05ABEH002417
  • https://www.mathnet.ru/eng/rm/v49/i5/p5
  • This publication is cited in the following 17 articles:
    1. Van Cyr, Bryna Kra, “Characteristic measures for language stable subshifts”, Monatsh Math, 201:3 (2023), 659  crossref
    2. Theo Bühler, Vadim Kaimanovich, Contemporary Mathematics, 772, Topology, Geometry, and Dynamics, 2021, 69  crossref
    3. Grigorchuk R., de la Harpe P., “Amenability and Ergodic Properties of Topological Groups: From Bogolyubov Onwards”, Groups, Graphs and Random Walks, London Mathematical Society Lecture Note Series, 436, eds. CeccheriniSilberstein T., Salvatori M., SavaHuss E., Cambridge Univ Press, 2017, 215–249  mathscinet  zmath  isi
    4. L. A. Beklaryan, “Groups of line and circle diffeomorphisms. Criteria for almost nilpotency and structure theorems”, Sb. Math., 207:8 (2016), 1079–1099  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    5. S. M. Aseev, V. M. Buchstaber, R. I. Grigorchuk, V. Z. Grines, B. M. Gurevich, A. A. Davydov, A. Yu. Zhirov, E. V. Zhuzhoma, M. I. Zelikin, A. B. Katok, A. V. Klimenko, V. V. Kozlov, V. P. Leksin, M. I. Monastyrskii, A. I. Neishtadt, S. P. Novikov, E. A. Sataev, Ya. G. Sinai, A. M. Stepin, “Dmitrii Viktorovich Anosov (obituary)”, Russian Math. Surveys, 70:2 (2015), 369–381  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    6. L. A. Beklaryan, “Groups of line and circle homeomorphisms. Metric invariants and questions of classification”, Russian Math. Surveys, 70:2 (2015), 203–248  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    7. A. V. Malyutin, “Groups acting on dendrons”, J. Math. Sci. (N. Y.), 212:5 (2016), 558–565  mathnet  crossref
    8. Sergey P. Kuznetsov, Hyperbolic Chaos, 2012, 141  crossref
    9. Savin A.Yu., Sternin B.Yu., “Formula indeksa nelokalnykh operatorov dlya diffeomorfizma mnogoobraziya”, Doklady akademii nauk, 438:4 (2011), 444–447  elib
    10. L. S. Efremova, “Space of $C^1$-smooth skew products of maps of an interval”, Theoret. and Math. Phys., 164:3 (2010), 1208–1214  mathnet  crossref  crossref  adsnasa  isi
    11. Kaimanovich V.A., “Self-similarity and Random Walks”, Nanowires - Synthesis, Properties, Assembly and Applications, Materials Research Society Symposium Proceedings, 1144, 2009, 45–70  isi
    12. Bogatyi, SA, “Schauder's fixed point and amenability of a group”, Topological Methods in Nonlinear Analysis, 29:2 (2007), 383  mathscinet  zmath  isi
    13. D. V. Anosov, Mathematical Events of the Twentieth Century, 2006, 1  crossref
    14. L. A. Beklaryan, “Groups of homeomorphisms of the line and the circle. Topological characteristics and metric invariants”, Russian Math. Surveys, 59:4 (2004), 599–660  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    15. V. V. Ryzhikov, “Partial Multiple Mixing on Subsequences May Distinguish between Automorphisms $T$ and $T^{-1}$”, Math. Notes, 74:6 (2003), 841–847  mathnet  crossref  crossref  mathscinet  zmath  isi
    16. P. de la Harpe, R. I. Grigorchuk, T. Ceccherini-Silberstein, “Amenability and Paradoxical Decompositions for Pseudogroups and for Discrete Metric Spaces”, Proc. Steklov Inst. Math., 224 (1999), 57–97  mathnet  mathscinet  zmath
    17. V. I. Arnol'd, A. A. Bolibrukh, R. V. Gamkrelidze, V. P. Maslov, E. F. Mishchenko, S. P. Novikov, Yu. S. Osipov, Ya. G. Sinai, A. M. Stepin, L. D. Faddeev, “Dmitrii Viktorovich Anosov (on his 60th birthday)”, Russian Math. Surveys, 52:2 (1997), 437–445  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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