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Kolmogorov complexity and the geometry of Brownian motion (1409.1060v1)
Published 3 Sep 2014 in cs.CC
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.