Fractal Dimension of Graphs of Typical Continuous Functions on Manifolds

Author(s):

R. Mirzaie *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
If M is a compact Riemannian manifold then we show that for typical continuous function defined on M, the upper box dimension of graph(f) is as big as possible and the lower box dimension of graph(f) is as small as possible.
Keywords:

Manifold , Fractal , Box dimension

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:13 Issue: 2, Nov 2018
Pages:
93 to 99
https://www.magiran.com/p1897885