Fractal dimension for Gaussian colored processes


Autoria(s): Llosa, Josep; Masoliver, Jaume, 1951-
Contribuinte(s)

Universitat de Barcelona

Data(s)

04/05/2010

Resumo

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.

Identificador

http://hdl.handle.net/2445/9487

Idioma(s)

eng

Publicador

The American Physical Society

Direitos

(c) The American Physical Society, 1990

info:eu-repo/semantics/openAccess

Palavras-Chave #Fluctuacions (Física) #Distribució (Teoria de la probabilitat) #Fluctuations (Physics) #Probability theory
Tipo

info:eu-repo/semantics/article