Abstract In this paper we give a finitely additive version of Poincaré's recurrence theorem, which is a general statement on a motion in a measure space (dynamical system), cf. [1] and [4]. This part is related to a paper of Barone and Bhaskara Rao [2]. An application of this result proves that a probability charge v on all subsets of a group G is strongly continuous and purely finitely additive, if v g=v for some g ∈ G of infinite order. In the second section we compute the mean and the variance of the recurrence time in an invariant measure space.
A finitely additive version of Poincare's recurrence theorem
1986-01-01
4 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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