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, 2013, Volume 411, Pages 148–177 (Mi znsl5638)  
This article is cited in 2 scientific papers (total in 2 papers)

Donaghey's transformation: an elementary approach

I. A. Pushkarev, V. A. Byzov

Vyatka State University, Kirov, Russia
Full-text PDF (595 kB) Citations (2)
References:
PDF
HTML
Abstract: In this paper, we study the properties of the orbit of a special transformation of plane planted trees and its remarkable behavior. This transformation was introduced by R. Donaghey. We prove some nontrivial properties of this transformation (the behavior of the transformation of the fringed trees, “carousel effect”) and obtain a lower estimate of the number of orbits of the transformation.
Key words and phrases: plane planted trees, Donaghey's transformation, orbit of a transformation, carousel effect, fringing of trees.
Received: 19.12.2012
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 196, Issue 2, Pages 199–215
DOI: https://doi.org/10.1007/s10958-013-1653-6
Bibliographic databases:
Document Type: Article
UDC: 519.12
Language: Russian
Citation: I. A. Pushkarev, V. A. Byzov, “Donaghey's transformation: an elementary approach”, Representation theory, dynamical systems, combinatorial methods. Part XXII, Zap. Nauchn. Sem. POMI, 411, POMI, St. Petersburg, 2013, 148–177; J. Math. Sci. (N. Y.), 196:2 (2014), 199–215
Citation in format AMSBIB
\Bibitem{PusByz13}
\by I.~A.~Pushkarev, V.~A.~Byzov
\paper Donaghey's transformation: an elementary approach
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXII
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 411
\pages 148--177
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5638}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3048275}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 196
\issue 2
\pages 199--215
\crossref{https://doi.org/10.1007/s10958-013-1653-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84897100570}
Linking options:
  • https://www.mathnet.ru/eng/znsl5638
  • https://www.mathnet.ru/eng/znsl/v411/p148
    • 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:271
    Full-text PDF :103
    References:35
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024