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Article

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Published version

Publication date

1990

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/9487

Fractal dimension for Gaussian colored processes

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http://dx.doi.org/10.1103/PhysRevA.42.5011

Abstract

The exact analytical expression for the Hausdorff dimension of free processes driven by Gaussian noise in n-dimensional space is obtained. The fractal dimension solely depends on the time behavior of the arbitrary correlation function of the noise, ranging from DX=1 for Orstein-Uhlenbeck input noise to any real number greater than 1 for fractional Brownian motions.

Subject

Fluctuacions (Física), Distribució (Teoria de la probabilitat)

Subject (English)

Fluctuations (Physics), Probability theory

Citation

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Articles publicats en revistes (Física de la Matèria Condensada)

Citation

LLOSA, Josep and MASOLIVER, Jaume. Fractal dimension for Gaussian colored processes. Physical Review A. 1990. Vol. 42, num. 8, pags. 5011-5014. ISSN 1050-2947. [consulted: 13 of August of 2026]. Available at: https://hdl.handle.net/2445/9487

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