Browsing ORIE Technical Reports by Subject "excursion set"

Now showing items 1-2 of 2

    • 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 ...