On the dynamics of stationary shift processes with Cantor structure

N. S. Arkashov; V. A. Seleznev

doi:10.1134/S0037446617050020

On the dynamics of stationary shift processes with Cantor structure

N. S. Arkashov, V. A. Seleznev

Кафедра высшей математики ФФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	752-764
Число страниц	13
Журнал	Siberian Mathematical Journal
Том	58
Номер выпуска	5
DOI	https://doi.org/10.1134/S0037446617050020
Состояние	Опубликовано - 1 сент. 2017

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10.1134/S0037446617050020

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title = "On the dynamics of stationary shift processes with Cantor structure",

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 = "Compton effect, Hausdorff measure, pseudo-Euclidean space, selfsimilar sets, spectral density, stationary process",

author = "Arkashov, {N. S.} and Seleznev, {V. A.}",

year = "2017",

month = sep,

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doi = "10.1134/S0037446617050020",

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T1 - On the dynamics of stationary shift processes with Cantor structure

AU - Arkashov, N. S.

AU - Seleznev, V. A.

PY - 2017/9/1

Y1 - 2017/9/1

N2 - 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.

AB - 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.

KW - Compton effect

KW - Hausdorff measure

KW - pseudo-Euclidean space

KW - selfsimilar sets

KW - spectral density

KW - stationary process

UR - http://www.scopus.com/inward/record.url?scp=85032022552&partnerID=8YFLogxK

U2 - 10.1134/S0037446617050020

DO - 10.1134/S0037446617050020

M3 - Article

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VL - 58

SP - 752

EP - 764

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

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ER -

On the dynamics of stationary shift processes with Cantor structure

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