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.


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    Title :

    A finitely additive version of Poincare's recurrence theorem


    Contributors:
    Francke, H. (author) / Plachky, D. (author) / Thomsen, W. (author)


    Publication date :

    1986-01-01


    Size :

    4 pages





    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English