On the Box Dimension of Typical Measures

被引:0
作者
Józef Myjak
Ryszard Rudnicki
机构
[1]  Università di L’Aquila,
[2] L’Aquila,undefined
[3] Italy,undefined
[4]  Polish Academy of Sciences,undefined
[5] Katowice,undefined
[6] Poland,undefined
来源
Monatshefte für Mathematik | 2002年 / 136卷
关键词
2000 Mathematics Subject Classification: 28A78; 26A21; 54E52; Key words: Box dimension; measure; residual subset;
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摘要
 Let \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} be a complete metric space and let \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} 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 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document}.
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页码:143 / 150
页数:7
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