Stochastic Analysis for Poisson Point Processes

Malliavin Calculus, Wiener-Itô Chaos Expansions and Stochastic Geometry

Nonfiction, Science & Nature, Mathematics, Combinatorics, Statistics
Cover of the book Stochastic Analysis for Poisson Point Processes by , Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: ISBN: 9783319052335
Publisher: Springer International Publishing Publication: July 7, 2016
Imprint: Springer Language: English
Author:
ISBN: 9783319052335
Publisher: Springer International Publishing
Publication: July 7, 2016
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Sigma 7 by
Cover of the book Re-activation of Vacant Retail Spaces by
Cover of the book Surrogate Motherhood Families by
Cover of the book Machine Learning and Interpretation in Neuroimaging by
Cover of the book From Stars to States by
Cover of the book Turkey’s Relations with the Middle East by
Cover of the book Neuroscience of Mathematical Cognitive Development by
Cover of the book Natural Disasters and Individual Behaviour in Developing Countries by
Cover of the book Intelligent Optimal Adaptive Control for Mechatronic Systems by
Cover of the book Advances in Multirate Systems by
Cover of the book Hybrid Metaheuristics for Image Analysis by
Cover of the book Business and Sustainability by
Cover of the book Mathematical and Statistical Methods for Actuarial Sciences and Finance by
Cover of the book Advances in Cryptology – EUROCRYPT 2019 by
Cover of the book Principles of Microeconomics by
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy