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arXiv · 1302.0809

Sample paths properties of Gaussian fields with equivalent spectral densities

M. Clausel·B. Vedel
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Abstract

We prove that if $X$ and $Y$ are two Gaussian fields with equivalent spectral densities, they have the same sample paths properties in any separable Banach space continuously embedded in $\mathcal{C}^0(K)$ where $K$ is a compact set of $\mathbb{R}^d$.

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M. Clausel, B. Vedel. 2013-02-04. Sample paths properties of Gaussian fields with equivalent spectral densities. https://arxiv.org/abs/1302.0809

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