Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2016, Volume 99, Issue 3, Pages 366–375
DOI: https://doi.org/10.4213/mzm10875 (Mi mzm10875) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Besicovitch Cylindrical Transformation with a Hölder Function

A. V. Kochergin

Lomonosov Moscow State University
Full-text PDF (516 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm10875
Abstract: For any $\gamma\in(0,1)$ and $\varepsilon>0$, we construct a cylindrical cascade with a $\gamma$-Hölder function over some rotation of the circle. This transformation has the Besicovitch property; i.e., it is topologically transitive and has discrete orbits. The Hausdorff dimension of the set of points of the circle that have discrete orbits is greater than $1-\gamma-\varepsilon$.
Keywords: cylindrical transformation, Besicovitch property, Hölder property, Hausdorff dimension.
Received: 17.05.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 3, Pages 382–389
DOI: https://doi.org/10.1134/S0001434616030068
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. V. Kochergin, “Besicovitch Cylindrical Transformation with a Hölder Function”, Mat. Zametki, 99:3 (2016), 366–375; Math. Notes, 99:3 (2016), 382–389
Citation in format AMSBIB
\Bibitem{Koc16}
\by A.~V.~Kochergin
\paper Besicovitch Cylindrical Transformation with a~H\"older Function
\jour Mat. Zametki
\yr 2016
\vol 99
\issue 3
\pages 366--375
\mathnet{http://mi.mathnet.ru/mzm10875}
\crossref{https://doi.org/10.4213/mzm10875}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3507399}
\elib{https://elibrary.ru/item.asp?id=25707680}
\transl
\jour Math. Notes
\yr 2016
\vol 99
\issue 3
\pages 382--389
\crossref{https://doi.org/10.1134/S0001434616030068}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000376295200006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84969819938}
Linking options:
  • https://www.mathnet.ru/eng/mzm10875
  • https://doi.org/10.4213/mzm10875
  • https://www.mathnet.ru/eng/mzm/v99/i3/p366
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:321
    Full-text PDF :50
    References:89
    First page:55
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024