Processing math: 0%
Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
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


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 128, Number 2, Pages 178–192
DOI: https://doi.org/10.4213/tmf490 (Mi tmf490) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Stochastic Fractals with Markovian Refinements

Yu. P. Virchenkoa, O. L. Shpilinskayab

a Institute for Single Crystals, National Academy of Sciences of Ukraine
b Belgorod State University
Full-text PDF (271 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf490
Abstract: We consider the random point fields with Markovian refinements we previously introduced. For this class of disordered structures possessing scaling and spatial homogeneity, we give the complete proof of the self-averageability theorem for the fractal dimension.
Received: 18.12.2000
English version:
Theoretical and Mathematical Physics, 2001, Volume 128, Issue 2, Pages 983–995
DOI: https://doi.org/10.1023/A:1010535319881
Bibliographic databases:
Language: Russian
Citation: Yu. P. Virchenko, O. L. Shpilinskaya, “Stochastic Fractals with Markovian Refinements”, TMF, 128:2 (2001), 178–192; Theoret. and Math. Phys., 128:2 (2001), 983–995
Citation in format AMSBIB
\Bibitem{VirShp01}
\by Yu.~P.~Virchenko, O.~L.~Shpilinskaya
\paper Stochastic Fractals with Markovian Refinements
\jour TMF
\yr 2001
\vol 128
\issue 2
\pages 178--192
\mathnet{http://mi.mathnet.ru/tmf490}
\crossref{https://doi.org/10.4213/tmf490}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1901576}
\zmath{https://zbmath.org/?q=an:1160.28300}
\transl
\jour Theoret. and Math. Phys.
\yr 2001
\vol 128
\issue 2
\pages 983--995
\crossref{https://doi.org/10.1023/A:1010535319881}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000171572700003}
Linking options:
  • https://www.mathnet.ru/eng/tmf490
  • https://doi.org/10.4213/tmf490
  • https://www.mathnet.ru/eng/tmf/v128/i2/p178
    • This publication is cited in the following 3 articles:
    1. Yu. P. Virchenko, O. L. Shpilinskaya, “Spaces of Random Sets in \boldsymbol{\mathbb{R}^{d}}”, Lobachevskii J Math, 44:3 (2023), 1043  crossref
    2. Yu. P. Virchenko, “Closed Separable Random Sets in \boldsymbol{\mathbb{R}^{d}}”, Lobachevskii J Math, 44:8 (2023), 3613  crossref
    3. Yu. P. Virchenko, O. L. Shpilinskaya, “Probability Space of Stochastic Fractals”, Ukr Math J, 56:11 (2004), 1748  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:629
    Full-text PDF :284
    References:91
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025