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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 6, Pages 1216–1236 (Mi smj2489)  
This article is cited in 3 scientific papers (total in 3 papers)

On a random walk model on sets with self-similar structure

N. S. Arkashovab, V. A. Selezneva

a Novosibirsk State Technical University, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (397 kB) Citations (3)
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Abstract: We construct a random walk model on sets with self-similar structure parametrized by a real line. The model in particular explains the arising nonlinearity with respect to the mean square time in the so-called anomalous transports.
Keywords: self-similar sets, random walk, anomalous transport, diffusion, Hausdorff measure, Hausdorff dimension.
Received: 13.12.2012
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 6, Pages 968–983
DOI: https://doi.org/10.1134/S0037446613060025
Bibliographic databases:
Document Type: Article
UDC: 519.216.22+517.54
Language: Russian
Citation: N. S. Arkashov, V. A. Seleznev, “On a random walk model on sets with self-similar structure”, Sibirsk. Mat. Zh., 54:6 (2013), 1216–1236; Siberian Math. J., 54:6 (2013), 968–983
Citation in format AMSBIB
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    • 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
    		Сибирский математический журнал Siberian Mathematical Journal
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    References:73
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