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- W4300849599 abstract "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 $alpha$-Holderian functions is also discussed." @default.
- W4300849599 created "2022-10-04" @default.
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- W4300849599 date "2011-06-01" @default.
- W4300849599 modified "2023-09-30" @default.
- W4300849599 title "On the Hausdorff dimension of graphs of prevalent continuous functions on compact sets" @default.
- W4300849599 hasPublicationYear "2011" @default.
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