Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Hausdorff dimension of graphs of prevalent continuous functions
  on compact sets   Let $K$ be a compact set in $\rd$ with positive Hausdorff dimension. Using a
Fractional Brownian Motion, we prove that in a prevalent set of continuous
functions on $K$, the Hausdorff dimension of the graph is equal to
$\dim_{\mathcal H}(K)+1$. This is the largest possible value. This result
generalizes a previous work due to J.M. Fraser and J.T. Hyde which was exposed
in the conference {\it Fractal and Related Fields~2}. The case of
$\alpha$-H\"olderian functions is also discussed.

1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th