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
收藏
页码：93 / 99
页数：7
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