Clausel, Marianne; Vedel, BĂ©atrice An optimality result about sample path properties of operator scaling Gaussian random fields. (English) Zbl 1389.60053 Ann. Univ. Buchar., Math. Ser. 4(62), No. 1, 361-395 (2013). Summary: We study the sample paths properties of operator scaling Gaussian random fields. Such fields are anisotropic generalizations of anisotropic self-similar random fields as anisotropic fractional Brownian motion. Some characteristic properties of the anisotropy are revealed by the regularity of the sample paths. The sharpest way of measuring smoothness is related to these anisotropies and thus to the geometry of these fields. Cited in 4 Documents MSC: 60G17 Sample path properties 60G15 Gaussian processes 60G18 Self-similar stochastic processes 60G60 Random fields 60G22 Fractional processes, including fractional Brownian motion Keywords:operator scaling Gaussian random field; anisotropy; sample paths properties; anisotropic Besov spaces PDFBibTeX XMLCite \textit{M. Clausel} and \textit{B. Vedel}, Ann. Univ. Buchar., Math. Ser. 4(62), No. 1, 361--395 (2013; Zbl 1389.60053) Full Text: arXiv