Title of article
Fractal Dimension of Graphs of Typical Continuous Functions on Manifolds
Author/Authors
Mirzaie, Reza Department of Pure Mathematics - Faculty of Science - Imam Khomeini International University - Qazvin, Iran
Pages
7
From page
93
To page
99
Abstract
If M is a compact Riemannian manifold and C(M;R) is the
set of all real valued continuous functions dened on M, then we show
that for a typical element f 2 C(M;R), dimB(graph(f)) is as big as
possible and for a typical f 2 C(M;R), dimB(graph(f)) is as small as
possible.
Keywords
Box dimension , Fractal , Manifold
Journal title
Astroparticle Physics
Serial Year
2018
Record number
2450272
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