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Arithmetical representations of brownian motion I
Journal of Symbolic Logic 65 (1):421-442 (2000)
Abstract
We discuss ways in which a typical one-dimensional Brownian motion can be approximated by oscillations which are encoded by finite binary strings of high descriptive complexity. We study the recursive properties of Brownian motions that can be thus obtainedAuthor's Profile
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Citations of this work
On the Kolmogorov complexity of continuous real functions.Amin Farjudian - 2013 - Annals of Pure and Applied Logic 164 (5):566-576.
Algorithmically random series and Brownian motion.Paul Potgieter - 2018 - Annals of Pure and Applied Logic 169 (11):1210-1226.
Algorithmic randomness of continuous functions.George Barmpalias, Paul Brodhead, Douglas Cenzer, Jeffrey B. Remmel & Rebecca Weber - 2008 - Archive for Mathematical Logic 46 (7-8):533-546.
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