Some new random field tools for spatial analysis

  • Adler R
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Abstract

This is a brief review, in relatively non-technical terms, of recent advances in the theory of random field geometry. These advances have provided a collection of explicit new formulae describing mean values of a variety of geometric characteristics of excursion sets of random fields. As well as a review of the theory, we provide brief descriptions of some of the more interesting applications.

Author-supplied keywords

  • Euler characteristic
  • Excursion set
  • Nodal domain
  • Random field
  • Spatial analysis
  • Stationary processes

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Authors

  • Robert J. Adler

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