Random Fields and Geometry

Authors:

ISBN: 978-0-387-48112-8 (Print) 978-0-387-48116-6 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages i-xvii

  2. Gaussian Processes

    1. Front Matter

      Pages 1-5

    2. No Access

      Chapter

      Pages 7-48

      Gaussian Fields

    3. No Access

      Chapter

      Pages 49-64

      Gaussian Inequalities

    4. No Access

      Chapter

      Pages 65-74

      Orthogonal Expansions

    5. No Access

      Chapter

      Pages 75-99

      Excursion Probabilities

    6. No Access

      Chapter

      Pages 101-121

      Stationary Fields

  3. Geometry

    1. Front Matter

      Pages 123-126

    2. No Access

      Chapter

      Pages 127-147

      Integral Geometry

    3. No Access

      Chapter

      Pages 149-181

      Differential Geometry

    4. No Access

      Chapter

      Pages 183-191

      Piecewise Smooth Manifolds

    5. No Access

      Chapter

      Pages 193-212

      Critical Point Theory

    6. No Access

      Chapter

      Pages 213-257

      Volume of Tubes

  4. The Geometry of Random Fields

    1. Front Matter

      Pages 259-262

    2. No Access

      Chapter

      Pages 263-299

      Random Fields on Euclidean Spaces

    3. No Access

      Chapter

      Pages 301-330

      Random Fields on Manifolds

    4. No Access

      Chapter

      Pages 331-348

      Mean Intrinsic Volumes

    5. No Access

      Chapter

      Pages 349-386

      Excursion Probabilities for Smooth Fields

    6. No Access

      Chapter

      Pages 387-433

      Non-Gaussian Geometry

  5. Back Matter

    Pages 435-450