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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
References:
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
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”, Sb. Math., 187:6 (1996), 857–868
Citation in format AMSBIB
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\by Yu.~A.~Neretin
\paper The group of diffeomorphisms of the~half-line, and random Cantor sets
\jour Sb. Math.
\yr 1996
\vol 187
\issue 6
\pages 857--868
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Linking options:
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  • https://doi.org/10.1070/SM1996v187n06ABEH000137
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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
    Statistics & downloads:
    Abstract page:563
    Russian version PDF:220
    English version PDF:14
    References:100
    First page:3
     
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