2 citations · 5 across the 7 of their papers we have counts for
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On the Hausdorff dimension of graphs of prevalent continuous functions on compact sets
Frédéric Bayart, Yanick Heurteaux
Let 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 , the Hausdo…
Multifractal analysis of the divergence of Fourier series: the extreme cases
Frédéric Bayart, Yanick Heurteaux
We study the size, in terms of the Hausdorff dimension, of the subsets of such that the Fourier series of a generic function in $L^1(\TT)$, $L^p(\TT)$ or in $\mathcal C…
Boundary multifractal behaviour for harmonic functions in the ball
Frédéric Bayart, Yanick Heurteaux
It is well known that if is a nonnegative harmonic function in the ball of $\RR^{d+1}$ or if is harmonic in the ball with integrable boundary values, then the radial limit…
Multifractal analysis of the divergence of Fourier series
Frédéric Bayart, Yanick Heurteaux
A famous theorem of Carleson says that, given any function $f\in L^p(\TT)$, , its Fourier series converges for almost every . Beside th…