Discretisation Schemes for Level Sets of Planar Gaussian Fields
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DOI: 10.1007/s00220-018-3084-1
Abstract: Smooth random Gaussian functions play an important role in mathematical physics, a main example being the random plane wave model conjectured by Berry to give a universal description of high-energy eigenfunctions of the Laplacian on… read more here.
Keywords: sets planar; planar gaussian; gaussian fields; discretisation schemes ... See more keywords
Extrema of rescaled locally stationary Gaussian fields on manifolds
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DOI: 10.3150/16-bej913
Abstract: Given a class of centered Gaussian random fields $\{X_{h}(s),s\in\mathbb{R}^{n},h\in(0,1]\}$, define the rescaled fields $\{Z_{h}(t)=X_{h}(h^{-1}t),t\in\mathcal{M}\}$, where $\mathcal{M}$ is a compact Riemannian manifold. Under the assumption that the fields $Z_{h}(t)$ satisfy a local stationary condition, we study… read more here.
Keywords: extrema rescaled; stationary gaussian; locally stationary; rescaled locally ... See more keywords