Stochastic Geometry Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 13–18, 2004 /

• Main Authors: Baddeley, Adrian (Author), Bárány, Imre (Author), Schneider, Rolf (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Weil, Wolfgang (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Series: Lecture Notes in Mathematics, 1892
• Subjects: Mathematics.; Convex geometry.; Discrete geometry.; Differential geometry.; Probabilities.; Probability Theory and Stochastic Processes.; Convex and Discrete Geometry.; Differential Geometry.

Stochastic Geometry is the mathematical discipline which studies mathematical models for random geometric structures, as they appear frequently in almost all natural sciences or technical fields. Although its roots can be traced back to the 18th century (the Buffon needle problem), the modern theory...

Table of Contents:

• Spatial Point Processes and their Applications
• Random Polytopes, Convex Bodies, and Approximation
• Integral Geometric Tools for Stochastic Geometry
• Random Sets (in Particular Boolean Models)
• Random Mosaics
• On the Evolution Equations of Mean Geometric Densities for a Class of Space and Time Inhomogeneous Stochastic Birth-and-growth Processes.