Packing entropy and divergence points

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Title:	Packing entropy and divergence points
Authors:	Zhou, XY (Zhou, Xiaoyao) Chen, EC (Chen, Ercai) Cheng, WC (Cheng, Wen-Chiao)
Contributors:	Dept Appl Math
Keywords:	packing entropy divergence points multifractals
Date:	2012
Issue Date:	2013-02-25 14:51:31 (UTC+8)
Abstract:	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)).
Relation:	DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL 卷: 27 期: 3 頁數: 387-402
Appears in Collections:	[Department of Applied Mathematics] journal articles

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