Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2017, Volume 462, Pages 39–51 (Mi znsl6495)  
This article is cited in 2 scientific papers (total in 2 papers)

Infinite geodesics in the discrete Heisenberg group

A. M. Vershikabc, A. V. Malyutinab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State University, St. Petersburg, Russia
c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russia
Full-text PDF (193 kB) Citations (2)
References:
PDF
HTML
Abstract: We give an exhaustive description of the family of infinite geodesics in the discrete Heisenberg group (with respect to the standard generating set). The classification of infinite geodesics is needed to describe the so-called absolute (exit boundary) of a group. The absolute of the discrete Heisenberg group will be described in a forthcoming paper.
Key words and phrases: discrete Heisenberg group, normal form, absolute, exit-boundary, geodesic.
Funding agency Grant number
Russian Science Foundation 17-71-20153
Received: 23.11.2017
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 232, Issue 2, Pages 121–128
DOI: https://doi.org/10.1007/s10958-018-3862-5
Bibliographic databases:
Document Type: Article
UDC: 517.54+519.217.7
Language: Russian
Citation: A. M. Vershik, A. V. Malyutin, “Infinite geodesics in the discrete Heisenberg group”, Representation theory, dynamical systems, combinatorial methods. Part XXVIII, Zap. Nauchn. Sem. POMI, 462, POMI, St. Petersburg, 2017, 39–51; J. Math. Sci. (N. Y.), 232:2 (2018), 121–128
Citation in format AMSBIB
\Bibitem{VerMal17}
\by A.~M.~Vershik, A.~V.~Malyutin
\paper Infinite geodesics in the discrete Heisenberg group
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXVIII
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 462
\pages 39--51
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6495}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 232
\issue 2
\pages 121--128
\crossref{https://doi.org/10.1007/s10958-018-3862-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85047408339}
Linking options:
  • https://www.mathnet.ru/eng/znsl6495
  • https://www.mathnet.ru/eng/znsl/v462/p39
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:327
    Full-text PDF :160
    References:42
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024