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On the existence of paths between points in high level excursion sets of Gaussian random fields
Gaussian process excursion set large deviations exceedence probabilities connected component optimal path
2012/4/17
The structure of Gaussian random fields over high levels is a well researched and well understood area, particularly if the field is smooth. However, the question as to whether or not two or more poin...
On the Excursion Sets of Spherical Gaussian Eigenfunctions
Gaussian Eigenfunctions Excursion Sets Empirical Measure High Energy Asymptotics
2010/12/10
The high frequency behaviour for random eigenfunctions of the spherical Laplacian has been recently the object of considerable interest, also because of strong motivations arising from Physics and Cos...