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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 5, Pages 972–988
DOI: https://doi.org/10.17377/smzh.2017.58.502 (Mi smj2912) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the dynamics of stationary shift processes with Cantor structure

N. S. Arkashovab, V. A. Selezneva

a Novosibirsk State Technical University, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (358 kB) Citations (2)
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DOI: https://doi.org/10.17377/smzh.2017.58.502
Abstract: Considering the stationary processes generated by shift transformations on selfsimilar sets, we study the transformations of the spectral density of the sets and establish the law of energy exchange. The energy transfer is modeled by interaction of the quasiparticles representing the processes in hyperbolic geometry.
Keywords: selfsimilar sets, Hausdorff measure, pseudo-Euclidean space, Compton effect, spectral density, stationary process.
Received: 14.01.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 5, Pages 752–764
DOI: https://doi.org/10.1134/S0037446617050020
Bibliographic databases:
Document Type: Article
UDC: 517.54+519.216.22
MSC: 35R30
Language: Russian
Citation: N. S. Arkashov, V. A. Seleznev, “On the dynamics of stationary shift processes with Cantor structure”, Sibirsk. Mat. Zh., 58:5 (2017), 972–988; Siberian Math. J., 58:5 (2017), 752–764
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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