Topics in Spatial Stochastic Processes Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, July 1-8, 2001 /

• Main Authors: Capasso, Vincenzo (Author, http://id.loc.gov/vocabulary/relators/aut), Merzbach, Ely (http://id.loc.gov/vocabulary/relators/aut, Editor, http://id.loc.gov/vocabulary/relators/edt), Ivanoff, B. Gail (http://id.loc.gov/vocabulary/relators/aut), Dozzi, Marco (http://id.loc.gov/vocabulary/relators/aut), Dalang, Robert (http://id.loc.gov/vocabulary/relators/aut), Mountford, Thomas (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Edition: 1st ed. 2003.
• Series: C.I.M.E. Foundation Subseries ; 1802
• Subjects: Probabilities.; Probability Theory and Stochastic Processes.

The theory of stochastic processes indexed by a partially ordered set has been the subject of much research over the past twenty years. The objective of this CIME International Summer School was to bring to a large audience of young probabilists the general theory of spatial processes, including the...

Table of Contents:

• Preface
• Capasso V., Micheletti A.: Stochastic Geometry of Spatially Structured Birth and Growth Processes. Application to Crystallization Processes
• Merzbach, E.: An Introduction to the General Theory of Set-Indexed Martingales
• Ivanoff, B.G.: Set-Indexed Processes: Distributions and Weak Convergence
• Dozzi, M.: Occupation Density and Sample Path Properties of N-Parameter Processes
• Dalang, R.C.: Level Sets and Excursions of the Brownian Sheet
• Mountford, T.S.: Critical Reversible Attractive Nearest Particle Systems.