期刊论文详细信息
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 卷:413
Local dimensions of measures on infinitely generated self-affine sets
Article
Rossi, Eino
关键词: Self-affine;    Infinite iterated function system;    Local dimension;   
DOI  :  10.1016/j.jmaa.2013.12.030
来源: Elsevier
PDF
【 摘 要 】

We show the existence of the local dimension of an invariant probability measure on an infinitely generated self-affine set, for almost all translations. This implies that an ergodic probability measure is exactly dimensional. Furthermore the local dimension equals the minimum of the local Lyapunov dimension and the dimension of the space. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free   

【 预 览 】
附件列表
Files Size Format View
10_1016_j_jmaa_2013_12_030.pdf 303KB PDF download
  文献评价指标  
  下载次数:0次 浏览次数:0次