Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2010, Number 3, Pages 43–46 (Mi vmumm786)  
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Invariant measures for non-contracting multi-valued mappings of the circle

A. N. Gorbachev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (342 kB)
Abstract: A problem of existence of an absolutely continuous invariant measure for contracting multivalued mappings of a circle is considered. It is shown that the existence of finite or infinite invariant measures depends on the differentiability class of the multivalued mapping.
Key words: multivalued mapping, absolute continuous invariant measure, differentiability class, infinite measure.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-3038.2008.1
Received: 16.09.2009
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. N. Gorbachev, “Invariant measures for non-contracting multi-valued mappings of the circle”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 3, 43–46
Citation in format AMSBIB
\Bibitem{Gor10}
\by A.~N.~Gorbachev
\paper Invariant measures for non-contracting multi-valued mappings of the circle
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2010
\issue 3
\pages 43--46
\mathnet{http://mi.mathnet.ru/vmumm786}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2961969}
\zmath{https://zbmath.org/?q=an:1304.37025}
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