Kolmogorov complexity and the geometry of Brownian motion

Willem L. Fouche

doi:10.1017/s0960129513000273

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arXiv · 1409.1060

Kolmogorov complexity and the geometry of Brownian motion

Willem L. Fouche

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Abstract

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 complexity in the context of Brownian motion and specifically to phenomena emerging from the random geometric patterns generated by a Brownian motion.

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Willem L. Fouche. 2014-09-03. Kolmogorov complexity and the geometry of Brownian motion. https://doi.org/10.1017/s0960129513000273

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