Some Dimension Results of Gaussian Random Fields


January 26


Dongsheng Wu, UAH


In this talk, we present some Hausdorff and packing dimension results for image and graph sets of Gaussian random fields. In particular, for anisotropic Gaussian fields, we extend the notion of Hausdorff dimension, packing dimension and packing dimension profile to (anisotropic) metric spaces. We believe that these extensions are of independent interest. This talk is based on joint works with Y. Du, A. Estrade. J. Miao and Y. Xiao.