书目名称 | Stochastic Analysis for Poisson Point Processes |
副标题 | Malliavin Calculus, |
编辑 | Giovanni Peccati,Matthias Reitzner |
视频video | |
概述 | A self-contained introduction to essential topics in stochastic geometry and infinite-dimensional stochastic analysis.Provides a unique and systematic discussion of Malliavin calculus in the framework |
丛书名称 | Bocconi & Springer Series |
图书封面 |  |
描述 | .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 bythe principal actors in this rapidly evolving field, offering a rigorous yet lively presentation of its many facets.. |
出版日期 | Book 2016 |
关键词 | Stochastic geometry; Stochastic analysis; Point processes; Limit theorems; Malliavin calculus; combinator |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-05233-5 |
isbn_softcover | 978-3-319-79147-0 |
isbn_ebook | 978-3-319-05233-5Series ISSN 2039-1471 Series E-ISSN 2039-148X |
issn_series | 2039-1471 |
copyright | Springer International Publishing Switzerland 2016 |