Beschreibung
InhaltsangabeFoundations of Stochastic Geometry.- Prolog.- Random Closed Sets.- Point Processes.- Geometric Models.- Integral Geometry.- Averaging with Invariant Measures.- Extended Concepts of Integral Geometry.- Integral Geometric Transformations.- Selected Topics from Stochastic Geometry.- Some Geometric Probability Problems.- Mean Values for Random Sets.- Random Mosaics.- Non-stationary Models.- Facts from General Topology.- Invariant Measures.- Facts from Convex Geometry.
Autorenportrait
Rolf Schneider: Born 1940, Studies of Mathematics and Physics in Frankfurt/M, Diploma 1964, PhD 1967 (Frankfurt), Habilitation 1969 (Bochum), 1970 Professor TU Berlin, 1974 Professor Univ. Freiburg, 2003 Dr. h.c. Univ. Salzburg, 2005 EmeritusWolfgang Weil: Born 1945, Studies of Mathematics and Physics in Frankfurt/M, Diploma 1968, PhD 1971 (Frankfurt), Habilitation 1976 (Freiburg), 1978 Akademischer Rat Univ. Freiburg, 1980 Professor Univ. Karlsruhe
Inhalt
1.Prologue.- Part I: Foundations of Stochastic Geometry.- 2.Random Closed Sets.- 3.Point Processes.- 4.Geometric Models.- Part II: Integral Geometry.- 5.Averaging with Invariant Measures.- 6.Extended Concepts of Integral Geometry.- 7.Integral-geometric Transformations.- Part III: Selected Topics from Stochastic Geometry.- 8.Some Geometric Probability Problems.- 9.Mean Values for Random Sets.- 10.Random Mosaics.- 11.Non-stationary Models.- Part IV: Appendix.- 12.Facts from General Topology.- 13.Invariant Measures.- 14.Facts from Convex Geometry.- References.- Index.
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