Fractals Generated by Algorithmically Random Brownian Motion

DOI10.1007/978-3-642-03073-4_22zbMath1268.03054OpenAlexW1804986499MaRDI QIDQ3576053

Willem L. Fouché

Publication date: 28 July 2010

Published in: Mathematical Theory and Computational Practice (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-03073-4_22

zbMATH Keywords

Brownian motionfractal geometryalgorithmic randomness

Mathematics Subject Classification ID

Fractals (28A80) Algorithmic randomness and dimension (03D32) Computation over the reals, computable analysis (03D78)

Related Items (5)

On local times of Martin-Löf random Brownian motion ⋮ The descriptive complexity of stochastic integration ⋮ On the computability of a construction of Brownian motion ⋮ Kolmogorov complexity and the geometry of Brownian motion ⋮ Computable Measure Theory and Algorithmic Randomness

Cites Work

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• The descriptive complexity of Brownian motion
• Dynamics of a generic Brownian motion: Recursive aspects
• Algorithmic Information Theory
• Arithmetical representations of Brownian motion I
• The Law of the Iterated Logarithm for Algorithmically Random Brownian Motion
• The definition of random sequences

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