Volume 13, Issue 2 (10-2018)                   IJMSI 2018, 13(2): 93-99 | Back to browse issues page

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Fractal Dimension of Graphs of Typical Continuous Functions on Manifolds
R. Mirzaie
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.
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Type of Study: Research paper | Subject: Special
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