Fractal Dimension of Graphs of Typical Continuous Functions on Manifolds

被引：0

作者：

Mirzaie, Reza ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin, Iran

来源：

IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS | 2018年 / 13卷 / 02期

关键词：

Manifold; Fractal; Box dimension;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If M is a compact Riemannian manifold and C(M, R) is the set of all real valued continuous functions defined on M, then we show that for typical element f is an element of C(M, R), (dim) over bar (B) (graph(f)) is as big as possible and for typical f is an element of C(M, R), (dim) under bar (B)(graph(f)) is as small as possible.

引用

页码：93 / 99

页数：7

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