Russian Mathematical Surveys
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Uspekhi Mat. Nauk:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Russian Mathematical Surveys, 2019, Volume 74, Issue 1, Pages 141–173
DOI: https://doi.org/10.1070/RM9859 (Mi rm9859) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Topological integrability, classical and quantum chaos, and the theory of dynamical systems in the physics of condensed matter

A. Ya. Maltseva, S. P. Novikovb

a Landau Institute for Theoretical Physics of Russian Academy of Sciences, Moscow
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
English version PDF (794 kB) Citations (12)
References:
PDF
HTML
DOI: https://doi.org/10.1070/RM9859
Abstract: This survey is devoted to questions connected with the Novikov problem of describing the geometry of level curves of quasi-periodic functions on the plane with different numbers of quasi-periods. Considered here are the history of the question, the current state of research in this field, and a number of applications of this problem to various physical problems. The main focus is on applications of results obtained in this area to the theory of transport phenomena in electron systems.
Bibliography: 56 titles.
Keywords: topological phenomena, Hamiltonian systems, transport phenomena.
Received: 22.10.2018
Russian version:
Uspekhi Matematicheskikh Nauk, 2019, Volume 74, Issue 1(445), Pages 149–184
DOI: https://doi.org/10.4213/rm9859
Bibliographic databases:
Document Type: Article
UDC: 517.938.5
MSC: Primary 37N20, 37E99; Secondary 82C70, 82D35
Language: English
Original paper language: Russian
Citation: A. Ya. Maltsev, S. P. Novikov, “Topological integrability, classical and quantum chaos, and the theory of dynamical systems in the physics of condensed matter”, Uspekhi Mat. Nauk, 74:1(445) (2019), 149–184; Russian Math. Surveys, 74:1 (2019), 141–173
Citation in format AMSBIB
\Bibitem{MalNov19}
\by A.~Ya.~Maltsev, S.~P.~Novikov
\paper Topological integrability, classical and quantum chaos, and the theory of dynamical systems in the physics of condensed matter
\jour Uspekhi Mat. Nauk
\yr 2019
\vol 74
\issue 1(445)
\pages 149--184
\mathnet{http://mi.mathnet.ru/rm9859}
\crossref{https://doi.org/10.4213/rm9859}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3920429}
\zmath{https://zbmath.org/?q=an:1439.37062}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2019RuMaS..74..141M}
\elib{https://elibrary.ru/item.asp?id=37089795}
\transl
\jour Russian Math. Surveys
\yr 2019
\vol 74
\issue 1
\pages 141--173
\crossref{https://doi.org/10.1070/RM9859}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000465431500004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85066115607}
Linking options:
  • https://www.mathnet.ru/eng/rm9859
  • https://doi.org/10.1070/RM9859
  • https://www.mathnet.ru/eng/rm/v74/i1/p149
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:963
    Russian version PDF:166
    English version PDF:41
    References:88
    First page:107
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024