Structures in random fields - Gaussian fields

Details Structures in random fields - Gaussian fields Structures in random fields - Gaussian fields

Mar 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrva..45.3447b&link_type=abstract

Physical Review A (ISSN 1050-2947), vol. 45, March 15, 1992, p. 3447-3466. Research supported by Ministerio de Educacion y Cienc

Mathematics

Probability

5

Degrees Of Freedom, Fields, Normal Density Functions, Autocorrelation, Statistical Distributions

Scientific paper

Two alternative methods for evaluating the probability densities of structures defined by d degrees of freedom in random fields are presented. For Gaussian random fields, both differentiable and nondifferentiable, the application of these methods is considered in detail. The relationship between structures, maxima, and connected regions above a certain level is investigated. The connected correlation functions of these objects are expressed in terms of the autocorrelation of the field.

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