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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 283, Pages 206–223 (Mi znsl1531)  
This article is cited in 5 scientific papers (total in 5 papers)

The Hausdorff dimension of the harmonic measure on de Rham's curve

P. P. Nikitin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (255 kB) Citations (5)
Abstract: In the paper [3] J. de Rham studied the curve, which can be constructed by “trisecting” the square. Another way to define the curve is to consider the iterated function system, based on two affine transformations. The aim of the present paper is to evaluate the hausdorff dimension of the harmonic measure on the curve.
Received: 28.08.2001
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 121, Issue 3, Pages 2409–2418
DOI: https://doi.org/10.1023/B:JOTH.0000024622.17820.37
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: P. P. Nikitin, “The Hausdorff dimension of the harmonic measure on de Rham's curve”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part VI, Zap. Nauchn. Sem. POMI, 283, POMI, St. Petersburg, 2001, 206–223; J. Math. Sci. (N. Y.), 121:3 (2004), 2409–2418
Citation in format AMSBIB
\Bibitem{Nik01}
\by P.~P.~Nikitin
\paper The Hausdorff dimension of the harmonic measure on de~Rham's curve
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~VI
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 283
\pages 206--223
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1531}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1879071}
\zmath{https://zbmath.org/?q=an:1073.28003}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 121
\issue 3
\pages 2409--2418
\crossref{https://doi.org/10.1023/B:JOTH.0000024622.17820.37}
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  • https://www.mathnet.ru/eng/znsl/v283/p206
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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