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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
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
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
Linking options:
https://www.mathnet.ru/eng/smj2912 https://www.mathnet.ru/eng/smj/v58/i5/p972
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Abstract page: | 302 | Full-text PDF : | 51 | References: | 48 | First page: | 6 |
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