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Browsing ORIE Technical Reports by Subject "excursion set"
Now showing items 1-2 of 2
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Climbing down Gaussian peaks
Adler, Robert; Samorodnitsky, Gennady (2015-01-28)How likely is the high level of a continuous Gaussian random field on an Euclidean space to have a ``hole'' of a certain dimension and depth? Questions of this type are difficult, but in this paper we make progress on ... -
On the existence of paths between points in high level excursion sets of Gaussian random fields
Adler, Robert; Moldavskaya, Elina; Samorodnitsky, Gennady (2012-03-27)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 points which lie in ...