Fractal dimension for Gaussian colored processes

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dc.contributor	Universitat de Barcelona
dc.contributor.author	Llosa, Josep
dc.contributor.author	Masoliver, Jaume, 1951-
dc.date	2009-09-29T10:33:05Z
dc.date	2009-09-29T10:33:05Z
dc.date	1990
dc.identifier.citation	1050-2947
dc.identifier.citation	53707
dc.identifier.uri	http://hdl.handle.net/2445/9487
dc.format	4 p.
dc.format	application/pdf
dc.language.iso	eng
dc.publisher	The American Physical Society
dc.relation	Reproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevA.42.5011
dc.relation	Physical Review A, 1990, vol. 42, núm. 8, p. 5011-5014.
dc.relation	http://dx.doi.org/10.1103/PhysRevA.42.5011
dc.rights	(c) The American Physical Society, 1990
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Fluctuacions (Física)
dc.subject	Distribució (Teoria de la probabilitat)
dc.subject	Fluctuations (Physics)
dc.subject	Probability theory
dc.title	Fractal dimension for Gaussian colored processes
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.description.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.