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Matematicheskie Zametki, 2015, Volume 97, Issue 2, Pages 163–173
DOI: https://doi.org/10.4213/mzm9689 (Mi mzm9689) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Ergodic Properties of a Transformation of a Self-Similar Space with a Hausdorff Measure

N. S. Arkashovab

a Novosibirsk State Technical University
b Novosibirsk State University
Full-text PDF (442 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm9689
Abstract: On a space equipped with a Hausdorff measure and possessing the self-similarity property, we prove ergodicity and study the continuity of the transformation generated by the shift transformation on a sequence space.
Keywords: Hausdorff measure, self-similarity, ergodicity, fractal, chaos.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00661
Ministry of Education and Science of the Russian Federation 2.1.1(2013)
This work was supported in part by the Russian Foundation for Basic Research (grant no. 13-01-00661) and by Novosibirsk State Technical University (grant no. 2.1.1 (2013)).
Received: 16.05.2012
Revised: 03.04.2014
English version:
Mathematical Notes, 2015, Volume 97, Issue 2, Pages 155–163
DOI: https://doi.org/10.1134/S0001434615010186
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: N. S. Arkashov, “Ergodic Properties of a Transformation of a Self-Similar Space with a Hausdorff Measure”, Mat. Zametki, 97:2 (2015), 163–173; Math. Notes, 97:2 (2015), 155–163
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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