This article is cited in 2 papers

On the dynamics of stationary shift processes with Cantor structure

N. S. Arkashov^ab, V. A. Seleznev<sup>a

a</sup> 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.

UDC: 517.54+519.216.22

MSC: 35R30

Received: 14.01.2016

DOI: 10.17377/smzh.2017.58.502

 English version: Siberian Mathematical Journal, 2017, 58:5, 752–764

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