Hausdorff and packing measure for solenoids

被引：7
|
作者：
Rams, M
Simon, K
机构：
[1] Polish Acad Sci, Michal Rams Inst Math, PL-00950 Warsaw, Poland
[2] Tech Univ Budapest, Math Inst, H-1529 Budapest, Hungary
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2003年 / 23卷
关键词：
D O I：
10.1017/S0143385702000883
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that the solenoid with two different contraction coefficients has zero Hausdorff and positive packing measure in its own dimension and the SBR measure is equivalent to the packing measure on the attractor. Further, we prove similar statements for Slanting Baker maps with intersecting cylinders (in R-2).
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页码：273 / 291
页数：19
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