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    題名: Packing entropy and divergence points
    作者: Zhou, XY (Zhou, Xiaoyao)
    Chen, EC (Chen, Ercai)
    Cheng, WC (Cheng, Wen-Chiao)
    貢獻者: Dept Appl Math
    關鍵詞: packing entropy
    divergence points
    multifractals
    日期: 2012
    上傳時間: 2013-02-25 14:51:31 (UTC+8)
    摘要: Let (X, d, T) be a dynamical system, where (X, d) is a compact metric space and T: X -> X is a continuous map. For n is an element of N\{0}, let L-n: X -> M(X) denote the n-th empirical measure, i.e.,

    L(n)x = 1/n Sigma(n-1)(k=0)delta(Tkx).

    A continuous affine deformation of L-n is a pair (Y, Xi) where Y is a vector space with linear compatible metric and Xi : M(X) -> Y is a continuous and affine map. This article is devoted to investigating the packing entropy of

    {x is an element of X vertical bar A(Xi L(n)x) = C}

    and

    {x is an element of X vertical bar A(Xi L(n)x) subset of C},

    in a dynamical system with the specification property and the positive expansive property, where C is a convex and closed subset of Xi (M( X, T)).
    關聯: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 卷: 27 期: 3 頁數: 387-402
    顯示於類別:[應數系] 期刊論文

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