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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
written by the principal actors in this rapidly evolving field,
offering a rigorous yet lively presentation of its many facets.
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
written by the principal actors in this rapidly evolving field,
offering a rigorous yet lively presentation of its many facets.
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