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, 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}
Linking options:
  • https://www.mathnet.ru/eng/znsl1531
  • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:330
    Full-text PDF :128
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024