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https://irlib.pccu.edu.tw/handle/987654321/24308
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| 题名: | Packing entropy and divergence points |
| 作者: | Zhou, XY (Zhou, Xiaoyao)
Chen, EC (Chen, Ercai)
Cheng, WC (Cheng, Wen-Chiao) |
| 贡献者: | Dept Appl Math |
| 关键词: | packing entropy
divergence points
multifractals |
| 日期: | 2012 |
| 上传时间: | 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 |
| 显示于类别: | [應數系] 期刊論文
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