EAN: 9783319052328

STOCHASTIC ANALYSIS FOR POISSON POINT PROCESSES...

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 networks  geostatistics and image analysis. In recent years - due mainly to
the impetus of the authors and their collaborators - a powerful connection has been established
between stochastic geometry and the Malliavin calculus of variations  which is a collection of
probabilistic techniques based on the properties of infinite-dimensional differential
operators. This has led in particular to the discovery of a large number of new quantitative
limit theorems for high-dimensional geometric objects. This unique book presents an organic
collection of authoritative surveys writtenby the principal actors in this rapidly evolving
field  offering a rigorous yet lively presentation of its many facets.

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