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Arithmetical representations of Brownian motion I

Published online by Cambridge University Press:  12 March 2014

Willem Fouché
Willem Fouché*
Affiliation:
Department of Mathematics and Applied Mathematics, University of Pretoria, 0002 Pretoria, South Africa, E-mail: wlfouche@math.up.ac.za
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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 obtained.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 65 , Issue 1 , March 2000 , pp. 421 - 442
Copyright
Copyright © Association for Symbolic Logic 2000

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References

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