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Wiener Chaos

The concept of Wiener chaos generalizes to an infinite-dimensional setting the properties of orthogonal polynomials associated with probability distributions on the real line. It plays a crucial role in modern probability theory, with applications ranging from Malliavin calculus to stochastic differ...

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Detalles Bibliográficos
Autores principales: Peccati, Giovanni, Taqqu, Murad S
Lenguaje:eng
Publicado: Springer 2011
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-88-470-1679-8
http://cds.cern.ch/record/1414095
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author Peccati, Giovanni
Taqqu, Murad S
author_facet Peccati, Giovanni
Taqqu, Murad S
author_sort Peccati, Giovanni
collection CERN
description The concept of Wiener chaos generalizes to an infinite-dimensional setting the properties of orthogonal polynomials associated with probability distributions on the real line. It plays a crucial role in modern probability theory, with applications ranging from Malliavin calculus to stochastic differential equations and from probabilistic approximations to mathematical finance. This book is concerned with combinatorial structures arising from the study of chaotic random variables related to infinitely divisible random measures. The combinatorial structures involved are those of partitions of fi
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2011
publisher Springer
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spelling cern-14140952021-04-22T00:40:59Zdoi:10.1007/978-88-470-1679-8http://cds.cern.ch/record/1414095engPeccati, GiovanniTaqqu, Murad SWiener ChaosMathematical Physics and MathematicsThe concept of Wiener chaos generalizes to an infinite-dimensional setting the properties of orthogonal polynomials associated with probability distributions on the real line. It plays a crucial role in modern probability theory, with applications ranging from Malliavin calculus to stochastic differential equations and from probabilistic approximations to mathematical finance. This book is concerned with combinatorial structures arising from the study of chaotic random variables related to infinitely divisible random measures. The combinatorial structures involved are those of partitions of fiSpringeroai:cds.cern.ch:14140952011
spellingShingle Mathematical Physics and Mathematics
Peccati, Giovanni
Taqqu, Murad S
Wiener Chaos
title Wiener Chaos
title_full Wiener Chaos
title_fullStr Wiener Chaos
title_full_unstemmed Wiener Chaos
title_short Wiener Chaos
title_sort wiener chaos
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-88-470-1679-8
http://cds.cern.ch/record/1414095
work_keys_str_mv AT peccatigiovanni wienerchaos
AT taqqumurads wienerchaos