Stochastic geometry is the branch of mathematics that studies geometric structures associated with random configurations, such as random graphs, tilings and mosaics. Due to its close ties with stereology and spatial statistics, the results in this area are relevant for a large number of important applications, e.g. to the mathematical modeling and statistical analysis of telecommunication netwo…
The first four surveys can be seen as a “crash course” in stochastic analysis on the Poisson space. Starting from the careful construction of Malliavin operators on abstract Poisson spaces via Fock space representations (G. Last), the elegant combinatorial properties of (multiple) Poisson stochastic integrals are explored (N. Privault) and an introduction provided to variational formula…