On the frequency of recurrence

    2007, Vol. 3, No. 4, pp.  401-410

    Author(s): Shaimuratov R. F.

    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, Poincare' recurrence theorem, frequency of recurrence
    Citation: Shaimuratov R. F., On the frequency of recurrence, Rus. J. Nonlin. Dyn., 2007, Vol. 3, No. 4, pp.  401-410

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