10 citations · 29 across the 12 of their papers we have counts for
5 papers · 1 filter
Local time of Martin-Lof Brownian motion
Willem Fouche, Safari Mukeru
In this paper we study the local times of Brownian motion from the point of view of algorithmic randomness. We introduce the notion of effective local time and show that any path w…
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.…
Algorithmic randomness and Ramsey properties of countable homogeneous structures
Willem L. Fouché
We study, in the context of algorithmic randomness, the closed amenable subgroups of the symmetric group of a countable set. In this paper we address this problem by inv…
Kolmogorov complexity and symmetric relational structures
W. L. Fouché, P. H. Potgieter
We study partitions of Fra\"ıssé limits of classes of finite relational structures where the partitions are encoded by infinite binary sequences which are random in the sense of Ko…