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Regularity of Gaussian processes in a geometric framework

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Recently, T. Coulhon, P. Petrushev and G.K. have proposed to consider a Littlewood-Paley theory in the framework of Dirichlet spaces with a suitable behavior of the associated heat kernel. This covers the case of compact Riemannian spaces. One can then construct regularity spaces and an associated wavelet theory. In this talk we will study how this could be used to analyze the regularity of Gaussian processes.

This talk is part of the Probability Theory and Statistics in High and Infinite Dimensions series.

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