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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)
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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
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\paper Stochastic Fractals with Markovian Refinements
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\transl
\jour Theoret. and Math. Phys.
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\vol 128
\issue 2
\pages 983--995
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  • https://www.mathnet.ru/eng/tmf/v128/i2/p178
    • This publication is cited in the following 3 articles:
    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
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