ON BANDTS TANGENTIAL DISTRIBUTION FOR SELF-SIMILAR MEASURES

被引：60

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.

引用

页码：223 / 246

页数：24

共 20 条

[1]

ARBEITER M, 1994, RANDOM SELF SIMILAR

[2]

BAUER H, 1968, WAHRSCHEINLICHKEITST

[3]

BEDFORD T, 1992, P LOND MATH SOC, V64, P95

[4]

BNDT C, 1992, 5TH C REAL ANAL MEAS