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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2000, Volume 231, Pages 64–95 (Mi tm512)  
This article is cited in 4 scientific papers (total in 4 papers)

On the Uniform Distribution of Orbits of Free Group and Semigroup Actions on a Plane

Ya. B. Vorobets
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Abstract: The orbits of actions by orientation-preserving motions on the Euclidean plane are considered for the following groups and semigroups: a free group and free semigroup with two generators, and a free semigroup with four generators (only the actions of special type are considered for the latter case). It is established that any orbit is either uniformly distributed over the plane or nowhere dense.
Received in May 2000
Bibliographic databases:
UDC: 517.987+519.217
Language: Russian
Citation: Ya. B. Vorobets, “On the Uniform Distribution of Orbits of Free Group and Semigroup Actions on a Plane”, Dynamical systems, automata, and infinite groups, Collected papers, Trudy Mat. Inst. Steklova, 231, Nauka, MAIK «Nauka/Inteperiodika», M., 2000, 64–95; Proc. Steklov Inst. Math., 231 (2000), 59–89
Citation in format AMSBIB
\Bibitem{Vor00}
\by Ya.~B.~Vorobets
\paper On the Uniform Distribution of Orbits of Free Group and Semigroup Actions on a~Plane
\inbook Dynamical systems, automata, and infinite groups
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2000
\vol 231
\pages 64--95
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm512}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1841752}
\zmath{https://zbmath.org/?q=an:1172.37302}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2000
\vol 231
\pages 59--89
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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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