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.

About the authors

N. S. Arkashov

Novosibirsk State Technical University Novosibirsk State University

Author for correspondence.
Email: nicky1978@mail.ru
Russian Federation, Novosibirsk

V. A. Seleznev

Novosibirsk State Technical University

Email: nicky1978@mail.ru
Russian Federation, Novosibirsk


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