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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 12, Pages 3–15 (Mi ivm8754)  
This article is cited in 3 scientific papers (total in 3 papers)

Overlapping iterated function systems on a segment

M. Barnsleya, K. B. Igudesmanb

a John Dedman Mathematical Sciences Institute Building 27, Australian National University, Canberra, Australia
b Chair of Geometry, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (480 kB) Citations (3)
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Abstract: Overlapping iterated function systems generate families of injective mappings from the attractor onto shift-invariant subsets of the code space. In this paper we consider an example of such a family for the uniformly linear systems of iterated functions on the unit segment.
Keywords: iterated function systems, attractor, dynamical system.
Received: 14.10.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 12, Pages 1–12
DOI: https://doi.org/10.3103/S1066369X12120018
Bibliographic databases:
Document Type: Article
UDC: 517.987
Language: Russian
Citation: M. Barnsley, K. B. Igudesman, “Overlapping iterated function systems on a segment”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 12, 3–15; Russian Math. (Iz. VUZ), 56:12 (2012), 1–12
Citation in format AMSBIB
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\by M.~Barnsley, K.~B.~Igudesman
\paper Overlapping iterated function systems on a~segment
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 12
\pages 3--15
\mathnet{http://mi.mathnet.ru/ivm8754}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3137105}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 12
\pages 1--12
\crossref{https://doi.org/10.3103/S1066369X12120018}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84872236662}
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  • https://www.mathnet.ru/eng/ivm8754
  • https://www.mathnet.ru/eng/ivm/y2012/i12/p3
    • This publication is cited in the following 3 articles:
    1. Massimiliano Giona, Chiara Pezzotti, Giuseppe Procopio, “The Fourfold Way to Gaussianity: Physical Interactions, Distributional Models and Monadic Transformations”, Axioms, 12:3 (2023), 278  crossref
    2. Bandt Ch., “Finite Orbits in Multivalued Maps and Bernoulli Convolutions”, Adv. Math., 324 (2018), 437–485  crossref  mathscinet  zmath  isi  scopus
    3. Christoph Bandt, Trends in Mathematics, Recent Developments in Fractals and Related Fields, 2017, 39  crossref
    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:377
    Full-text PDF :97
    References:56
    First page:3
     
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