Random Fields and Geometry

This monograph is devoted to a completely new approach to geometric problems arising in the study of random fields. The groundbreaking material in Part III, for which the background is carefully prepared in Parts I and II, is of both theoretical and practical importance, and striking in the way in w...

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Bibliographic Details
Main Authors: Adler, R. J., Taylor, Jonathan E. (Author)
Format: eBook
Published: New York, NY Springer New York 2007, 2007
Edition:1st ed. 2007
Series:Springer Monographs in Mathematics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Gaussian Processes
  • Gaussian Fields
  • Gaussian Inequalities
  • Orthogonal Expansions
  • Excursion Probabilities
  • Stationary Fields
  • Geometry
  • Integral Geometry
  • Differential Geometry
  • Piecewise Smooth Manifolds
  • Critical Point Theory
  • Volume of Tubes
  • The Geometry of Random Fields
  • Random Fields on Euclidean Spaces
  • Random Fields on Manifolds
  • Mean Intrinsic Volumes
  • Excursion Probabilities for Smooth Fields
  • Non-Gaussian Geometry