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Two-parameter diffusions random fields 

Authors: M. D. Ruiz-Medina; M. J. Valderrama
DOI: 10.1080/07362999808809540
Publication Frequency: 6 issues per year
Published in: journal Stochastic Analysis and Applications, Volume 16, Issue 2 1998 , pages 391 - 402
Formats available: PDF (English)
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Abstract

This paper presents an alternative method for calculating the diffusion, drift, and mixed coefficients of an example of biparameter Gaussian diffusion defined as a solution of a linear hyperbolic stochastic partial differential equation (Nualart & Sanz , 1979). To derive the expression of these coefficients, we part from an integral stochastic repre , sentation given by these authors for this class of biparameter diffusion processes arising from biparameter Gaussian random fields verifying a particular Markov property
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