Topics in Spatial Stochastic Processes

Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, July 1-8, 2001
2003
ISBN: 978-3-540-00295-6
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 258 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 411 g

Reihe: C.I.M.E. Foundation Subseries

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 theory of set-indexed martingales and to present the different branches of applications of this theory, including stochastic geometry, spatial statistics, empirical processes, spatial estimators and survival analysis. This theory has a broad variety of applications in environmental sciences, social sciences, structure of material and image analysis. In this volume, the reader will find different approaches which foster the development of tools to modelling the spatial aspects of stochastic problems.

Zielgruppe

Research

Autoren/Hrsg.

Capasso, Vincenzo

Ivanoff, B. Gail

Merzbach, Ely

Mountford, Thomas

Dozzi, Marco

Dalang, Robert

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Elementare Stochastik
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse

Inhaltsverzeichnis

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.