Asymptotic of the geometric mean error in the quantization of recurrent self-similar measures

被引：2

作者：

Roychowdhury, Mrinal Kanti ^{[1
]}

Snigireva, Nina ^{[2
]}

机构：

[1] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78539 USA

[2] Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 431卷 / 02期

关键词：

Recurrent self-similar measure; Hausdorff dimension; Quantization; Geometric mean error; ITERATED FUNCTION SYSTEMS; SIMILAR SETS; DIMENSION; RESPECT;

D O I：

10.1016/j.jmaa.2015.05.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Assuming a separation property, we determine the quantization dimension D(mu) of a recurrent self-similar measure mu with respect to the geometric mean error, and prove that D(mu) coincides with the Hausdorff dimension dim(H)*(mu) of mu. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：737 / 751

页数：15

共 19 条

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