Now showing items 1-3 of 3

    • 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 ...
    • High level excursion set geometry for non-Gaussian infinitely divisible random fields 

      Adler, Robert; Samorodnitsky, Gennady; Taylor, Jonathan (2009-08-04)
      We consider smooth, infinitely divisible random fields with regularly varying Levy measure, and are interested in the geometric characteristics of the excursion sets over high levels u. For a large class of such ...
    • 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 ...