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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Detalles Bibliográficos
Autor principal: Adler, Robert J. (-)
Otros Autores: Taylor, Jonathan E.
Formato: Libro electrónico
Idioma:Inglés
Publicado: New York : Springer c2007.
Edición:1st ed. 2007.
Colección:Springer monographs in mathematics ; 115.
Materias:
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009462910206719
Tabla de Contenidos:
  • 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.