10 citations · 29 across the 12 of their papers we have counts for
4 papers · 1 filter
How constructive is constructing measures?
Arno Pauly, Willem L. Fouché
Given some set, how hard is it to construct a measure supported by it? We classify some variations of this task in the Weihrauch lattice. Particular attention is paid to Frostman m…
Diophantine properties of Brownian motion: recursive aspects
Willem L. Fouche
We use recent results on the Fourier analysis of the zero sets of Brownian motion to explore the diophantine properties of an algorithmically random Brownian motion (also known as…
Kolmogorov complexity and the geometry of Brownian motion
Willem L. Fouche
In this paper, we continue the study of the geometry of Brownian motions which are encoded by Kolmogorov-Chaitin random reals (complex oscillations). We unfold Kolmogorov-Chaitin c…
Fourier spectra of measures associated with algorithmically random Brownian motion
Willem Louw Fouché, Safari Mukeru, George Davie
In this paper we study the behaviour at infinity of the Fourier transform of Radon measures supported by the images of fractal sets under an algorithmically random Brownian motion.…