On the dynamics of stationary shift processes with Cantor structure

N. S. Arkashov, V. A. Seleznev

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1 Citation (Scopus)


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.

Original languageEnglish
Pages (from-to)752-764
Number of pages13
JournalSiberian Mathematical Journal
Issue number5
Publication statusPublished - 1 Sep 2017


  • Compton effect
  • Hausdorff measure
  • pseudo-Euclidean space
  • selfsimilar sets
  • spectral density
  • stationary process


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