Kolmogorov complexity and the geometry of Brownian motion

Kolmogorov complexity and the geometry of Brownian motion

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 ge...

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Veröffentlicht in:Mathematical structures in computer science 2015-10, Vol.25 (7), p.1590-1606
1. Verfasser: Fouche, Willem L
Format: Artikel
Sprache:eng
Schlagworte:
Brownian motion
Complexity
Geometry
Mathematical models
Oscillations
Studies
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Beschreibung
Zusammenfassung: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.
ISSN:0960-1295
1469-8072
DOI:10.1017/S0960129513000273