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Matematicheskie Zametki, 2014, Volume 95, Issue 3, Pages 335–339
DOI: https://doi.org/10.4213/mzm10227 (Mi mzm10227) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Criteria for the Existence of an Invariant Measure for Groups of Homeomorphisms of the Line

L. A. Beklaryan

Central Economics and Mathematics Institute, RAS, Moscow
Full-text PDF (394 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm10227
Abstract: In [1] (1975), for finitely generated groups of homeomorphisms of the line (the circle), Plante obtained a criterion for the existence of an invariant measure. In the paper, we obtain a criterion for the existence of an invariant measure for groups of homeomorphisms of the line (the circle) such that every finitely generated subgroup of the group satisfies the Plante conditions.
Keywords: invariant measure, group of homeomorphisms, finitely generated subgroup, Plante conditions.
Received: 12.10.2012
Revised: 04.06.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 3, Pages 304–307
DOI: https://doi.org/10.1134/S000143461403002X
Bibliographic databases:
Document Type: Article
UDC: 512.544.43
Language: Russian
Citation: L. A. Beklaryan, “Criteria for the Existence of an Invariant Measure for Groups of Homeomorphisms of the Line”, Mat. Zametki, 95:3 (2014), 335–339; Math. Notes, 95:3 (2014), 304–307
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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