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Fractal dimension for Gaussian colored processes
Llosa, Josep; Masoliver, Jaume, 1951-
Universitat de Barcelona
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.
Fluctuacions (Física)
Distribució (Teoria de la probabilitat)
Fluctuations (Physics)
Probability theory
(c) The American Physical Society, 1990
The American Physical Society

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