Loading [MathJax]/jax/output/SVG/config.js
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 2, Pages 31–45 (Mi ivm7231)  
This article is cited in 2 scientific papers (total in 2 papers)

A certain family of self-similar sets

K. B. Igudesman

Chair of Geometry, Kazan State University, Kazan, Russia
Full-text PDF (277 kB) Citations (2)
References:
PDF
HTML
Abstract: In this paper we consider an one-parameter family of iterated function systems. For every value of the parameter we find the set of top addresses. We prove that this set is a countable disjoint union of self-similar sets and calculate its Hausdorff dimension.
Keywords: iterated function systems, attractor, top address, self-similarity, Hausdorff dimension.
Received: 16.06.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 2, Pages 26–38
DOI: https://doi.org/10.3103/S1066369X11020046
Bibliographic databases:
Document Type: Article
UDC: 517.987+511.72
Language: Russian
Citation: K. B. Igudesman, “A certain family of self-similar sets”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 2, 31–45; Russian Math. (Iz. VUZ), 55:2 (2011), 26–38
Citation in format AMSBIB
\Bibitem{Igu11}
\by K.~B.~Igudesman
\paper A certain family of self-similar sets
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 2
\pages 31--45
\mathnet{http://mi.mathnet.ru/ivm7231}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2814819}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 2
\pages 26--38
\crossref{https://doi.org/10.3103/S1066369X11020046}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79953022117}
Linking options:
  • https://www.mathnet.ru/eng/ivm7231
  • https://www.mathnet.ru/eng/ivm/y2011/i2/p31
    • 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
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:258
    Full-text PDF :84
    References:58
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025