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On the dynamics of stationary shift processes with Cantor structure

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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.

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Authors and Affiliations

  1. Novosibirsk State Technical University Novosibirsk State University, Novosibirsk, Russia

    N. S. Arkashov

  2. Novosibirsk State Technical University, Novosibirsk, Russia

    V. A. Seleznev

Authors
  1. N. S. Arkashov
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  2. V. A. Seleznev
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Corresponding author

Correspondence to N. S. Arkashov.

Additional information

Original Russian Text Copyright © 2017 Arkashov N.S. and Seleznev V.A.

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 58, No. 5, pp. 972–988, September–October, 2017; DOI: 10.17377/smzh.2017.58.502.

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Arkashov, N.S., Seleznev, V.A. On the dynamics of stationary shift processes with Cantor structure. Sib Math J 58, 752–764 (2017). https://doi.org/10.1134/S0037446617050020

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  • DOI: https://doi.org/10.1134/S0037446617050020

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