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

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

by Vincenzo Capasso, Ely Merzbach, B. Gail Ivanoff, Marco Dozzi
     
 

ISBN-10: 3540002952

ISBN-13: 9783540002956

Pub. Date: 03/10/2003

Publisher: Springer Berlin Heidelberg

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

Overview

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.

Product Details

ISBN-13:
9783540002956
Publisher:
Springer Berlin Heidelberg
Publication date:
03/10/2003
Series:
Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries, #1802
Edition description:
2003
Pages:
258
Product dimensions:
0.56(w) x 6.14(h) x 9.21(d)

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.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >