ON BANDTS TANGENTIAL DISTRIBUTION FOR SELF-SIMILAR MEASURES

被引：58
|
作者：
GRAF, S
机构：
[1] Fakultät für Mathematik und Informatik, Universität Passau, Passau, D-94032
来源：
MONATSHEFTE FUR MATHEMATIK | 1995年 / 120卷 / 3-4期
关键词：
SELF-SIMILAR MEASURE; OPEN SET CONDITION; AVERAGE DENSITY; TANGENTIAL DISTRIBUTION; AVERAGE TANGENTIAL MEASURE;
D O I：
10.1007/BF01294859
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that the local geometry of a self-similar measure mu as captured by Bandt's average tangential distribution is the same at mu-almost all points of the underlying space. Moreover, for a self-similar measure explicit formulas for Bandt's tangential distribution as well as for the average density of Bedford and Fisher are derived.
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页码：223 / 246
页数：24
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