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Sbornik: Mathematics, 2004, Volume 195, Issue 2, Pages 163–186
DOI: https://doi.org/10.1070/SM2004v195n02ABEH000799 (Mi sm799) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the uniform distribution of orbits of finitely generated groups and semigroups of plane isometries

Ya. B. Vorobets

Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine
English version PDF (292 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/SM2004v195n02ABEH000799
Abstract: Actions by isometries on a Euclidean plane of free groups and free semigroups with arbitrarily many generators and of free products of groups of order 2 are considered. It is shown that, in the typical case, all orbits of the action are uniformly distributed in the plane. The actions for which the distribution of orbits fails to be uniform are explicitly described.
Received: 18.04.2003
Bibliographic databases:
UDC: 517.987.5
MSC: Primary 22E30; Secondary 10K05, 37A05
Language: English
Original paper language: Russian
Citation: Ya. B. Vorobets, “On the uniform distribution of orbits of finitely generated groups and semigroups of plane isometries”, Sb. Math., 195:2 (2004), 163–186
Citation in format AMSBIB
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\paper On the uniform distribution of orbits of finitely generated groups and semigroups of plane isometries
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\yr 2004
\vol 195
\issue 2
\pages 163--186
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:175
    English version PDF:13
    References:57
    First page:1
     
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