On the box dimension of typical measures

被引：7
|
作者：
Myjak, J [1 ]
Rudnicki, R
机构：
[1] Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67100 Laquila, Italy
[2] WMS AGH, PL-30059 Krakow, Poland
[3] Polish Acad Sci, Inst Math, PL-40007 Katowice, Poland
[4] Silesian Univ, Inst Math, PL-40007 Katowice, Poland
来源：
MONATSHEFTE FUR MATHEMATIK | 2002年 / 136卷 / 02期
关键词：
box dimension; measure; residual subset;
D O I：
10.1007/s006050200039
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (X, rho) be a complete metric space and let M be the space of all probability Borel measures on X. We give some estimations of the upper and lower box dimensions of the typical (in the sense of Baire category) measure in M.
引用
收藏
页码：143 / 150
页数：8
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