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math.CA2012
On Fourier analytic properties of graphs
Jonathan M. Fraser, Tuomas Orponen, Tuomas Sahlsten
We study the Fourier dimensions of graphs of real-valued functions defined on the unit interval [0,1]. Our results imply that the graph of the fractional Brownian motion is almost…
math.CA2012
Tangent measures of typical measures
Tuomas Sahlsten
We prove that for a typical Radon measure mu in R^d, every non-zero Radon measure is a tangent measure of mu at mu almost every point. This was already shown by T. O'Neil in his Ph…