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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. We show that, under some computability conditions on these sets, the Fourier transform of the associated measures have,&nbsp;[&hellip;]

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Weihrauch-completeness for layerwise computability

Arno Pauly ; Willem Fouché ; George Davie.

We introduce the notion of being Weihrauch-complete for layerwise computability and provide several natural examples related to complex oscillations, the law of the iterated logarithm and Birkhoff's theorem. We also consider hitting time operators, which share the Weihrauch degree of the former&nbsp;[&hellip;]

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