This volume provides a modern introduction to stochastic geometry, random fields and spatial statistics at a (post)graduate level. It is focused on asymptotic methods in geometric probability including weak and strong limit theorems for random spatial structures (point processes, sets, graphs, fields) with applications to statistics. Written as a contributed volume of lecture notes, it will be useful not only for students but also for lecturers and researchers interested in geometric probability and related subjects.
This volume provides a modern introduction to stochastic geometry, random fields and spatial statistics at a (post)graduate level. It is focused on asymptotic methods in geometric probability including weak and strong limit theorems for random spatial structures (point processes, sets, graphs, fields) with applications to statistics. Written as a contributed volume of lecture notes, it will be useful not only for students but also for lecturers and researchers interested in geometric probability and related subjects.
Comprises introductory material as well as advances topics with a significant number of proofs Numerous images ease the understanding of complex mathematical notions Includes a large number of excercises for active reading Provides vast research bibliography Includes supplementary material: sn.pub/extras
Evgeny Spodarev
60D05, 52A22, 60G55, 60G60, 60G57, 60F05, 60F15, 60J25 geometric probability random fields random graphs random sets