自相似测度的联合发散点和填充维数(英文)  

Mixed Divergence Points of Self-similar Measures and Packing Dimension

作　　者：戴美凤[1] 陆肜肜[1] 施云[1] 

机构地区：[1]江苏大学理学院非线性科学研究中心,江苏镇江212013

出　　处：《大学数学》2012年第5期40-45,共6页College Mathematics

基　　金：supported by the National Science Foundation of China(11071224);the Priority Academic Program Development of Jiangsu Higher Education Institutions

摘　　要：近年来,发散点引起了数学界的广泛关注.对单测度的发散点,前人已经作了很完备的研究.对有限多个自相似测度的联合发散点的集合,仅其豪斯多夫维数被L.Olsen研究并给出了,然而,我们对其填充维数仍一无所知.因此,本文主要研究联合发散点集合的填充维数.Divergence points have recently generated an enormous interest in the mathematical literature. Previously, divergence points of a single measure have been well investigated. However, for mixed divergence points of finitely many selfsimilar measures simultaneously, only their determined by L. Olsen and nothing is known about their packing dimension. packing dimension of the set of the mixed divergence points. Hausdorff dimension In this paper, we will has been study themixed divergence points.

关 键 词：填充维数 联合发散点 自相似测度 

分 类 号：O211.63[理学—概率论与数理统计]