Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2010, Number 5, Pages 61–64 (Mi vmumm818)  
This article is cited in 1 scientific paper (total in 1 paper)

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Recurrence of matrix cocycles

M. E. Lipatov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (211 kB) Citations (1)
Abstract: This paper considers measurable cocycles with values in the subgroup of $SL(2,\mathbb C)$ of diagonal and skew-diagonal matrices over an ergodic, transformation preserving the probability measure. We prove the recurrence of such cocycles under certain conditions as well as the equivalence of two definitions of recurrence.
Key words: recurrence, cocycle, conservative transformation, skew product.
Received: 21.12.2009
Bibliographic databases:
Document Type: Article
UDC: 519.218
Language: Russian
Citation: M. E. Lipatov, “Recurrence of matrix cocycles”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 5, 61–64
Citation in format AMSBIB
\Bibitem{Lip10}
\by M.~E.~Lipatov
\paper Recurrence of matrix cocycles
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2010
\issue 5
\pages 61--64
\mathnet{http://mi.mathnet.ru/vmumm818}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2815269}
\zmath{https://zbmath.org/?q=an:1304.37007}
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