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Sbornik: Mathematics, 1996, Volume 187, Issue 6, Pages 857–868
DOI: https://doi.org/10.1070/SM1996v187n06ABEH000137 (Mi sm137) 		 
This article is cited in 5 scientific papers (total in 5 papers)

The group of diffeomorphisms of the half-line, and random Cantor sets

Yu. A. Neretin

Moscow State Institute of Electronics and Mathematics
English version PDF (522 kB) Citations (5)
References:
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DOI: https://doi.org/10.1070/SM1996v187n06ABEH000137
Abstract: A certain one-parameter family of measures is constructed on the space of closed totally disconnected subsets of the half-line without isolated points. It is shown that these measures are quasi-invariant with respect to the group of smooth diffeomorphisms of the half-line, and the Radon–Nikodym derivatives are explicitly computed.
Received: 31.05.1995
Russian version:
Matematicheskii Sbornik, 1996, Volume 187, Number 6, Pages 73–84
DOI: https://doi.org/10.4213/sm137
Bibliographic databases:
UDC: 517.98
MSC: Primary 58D05, 60D05; Secondary 20C99, 22E65, 22E67, 28C10, 81R10
Language: English
Original paper language: Russian
Citation: Yu. A. Neretin, “The group of diffeomorphisms of the half-line, and random Cantor sets”, Mat. Sb., 187:6 (1996), 73–84; Sb. Math., 187:6 (1996), 857–868
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:550
    Russian version PDF:219
    English version PDF:13
    References:97
    First page:3
     
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