Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2007, Volume 3, Number 4, Pages 401–410 (Mi nd147)  
On the frequency of recurrence

R. F. Shaimuratov

M. V. Lomonosov Moscow State University
Full-text PDF (142 kB)
Abstract: For sets with finite measure, the frequency of recurrence is shown to be positive. In the event of infinite measure, an example with zero frequency of recurrence is presented. The paper provides a sufficient condition under which the frequency of recurrence is not separated from zero.
Keywords: ergodic theory, Poincaré recurrence theorem, frequency of recurrence.
Document Type: Article
UDC: 519.21
Language: Russian
Citation: R. F. Shaimuratov, “On the frequency of recurrence”, Nelin. Dinam., 3:4 (2007), 401–410
Citation in format AMSBIB
\Bibitem{Sha07}
\by R.~F.~Shaimuratov
\paper On the frequency of recurrence
\jour Nelin. Dinam.
\yr 2007
\vol 3
\issue 4
\pages 401--410
\mathnet{http://mi.mathnet.ru/nd147}
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  • https://www.mathnet.ru/eng/nd/v3/i4/p401
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    		Нелинейная динамика
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