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On the dynamics of stationary shift processes with Cantor structure. / Arkashov, N. S.; Seleznev, V. A.

In: Siberian Mathematical Journal, Vol. 58, No. 5, 01.09.2017, p. 752-764.

Research output: Contribution to journalArticlepeer-review

Harvard

Arkashov, NS & Seleznev, VA 2017, 'On the dynamics of stationary shift processes with Cantor structure', Siberian Mathematical Journal, vol. 58, no. 5, pp. 752-764. https://doi.org/10.1134/S0037446617050020

APA

Vancouver

Arkashov NS, Seleznev VA. On the dynamics of stationary shift processes with Cantor structure. Siberian Mathematical Journal. 2017 Sept 1;58(5):752-764. doi: 10.1134/S0037446617050020

Author

Arkashov, N. S. ; Seleznev, V. A. / On the dynamics of stationary shift processes with Cantor structure. In: Siberian Mathematical Journal. 2017 ; Vol. 58, No. 5. pp. 752-764.

BibTeX

@article{a693f8c46d884d039c5fef8dc89b09fd,
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,
day = "1",
doi = "10.1134/S0037446617050020",
language = "English",
volume = "58",
pages = "752--764",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "5",

}

RIS

TY - JOUR

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

AN - SCOPUS:85032022552

VL - 58

SP - 752

EP - 764

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 5

ER -

ID: 9874490