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Stochastic Integration by Parts and Functional Itô Calculus (Advanced Courses in Mathematics - CRM Barcelona) - Softcover

 
9783319271279: Stochastic Integration by Parts and Functional Itô Calculus (Advanced Courses in Mathematics - CRM Barcelona)

Synopsis

This volume contains lecture notes from the courses given by Vlad Bally and Rama Cont at the Barcelona Summer School on Stochastic Analysis (July 2012).

The notes of the course by Vlad Bally, co-authored with Lucia Caramellino, develop integration by parts formulas in an abstract setting, extending Malliavin's work on abstract Wiener spaces. The results are applied to prove absolute continuity and regularity results of the density for a broad class of random processes.

Rama Cont's notes provide an introduction to the Functional Itô Calculus, a non-anticipative functional calculus that extends the classical Itô calculus to path-dependent functionals of stochastic processes. This calculus leads to a new class of path-dependent partial differential equations, termed Functional Kolmogorov Equations, which arise in the study of martingales and forward-backward stochastic differential equations.

This book will appeal to both young and senior researchers in probability and stochastic processes, as well as to practitioners in mathematical finance.

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This volume contains lecture notes from the courses given by Vlad Bally and Rama Cont at the Barcelona Summer School on Stochastic Analysis (July 2012).

The notes of the course by Vlad Bally, co-authored with Lucia Caramellino, develop integration by parts formulas in an abstract setting, extending Malliavin's work on abstract Wiener spaces. The results are applied to prove absolute continuity and regularity results of the density for a broad class of random processes.

Rama Cont's notes provide an introduction to the Functional Itô Calculus, a non-anticipative functional calculus that extends the classical Itô calculus to path-dependent functionals of stochastic processes. This calculus leads to a new class of path-dependent partial differential equations, termed Functional Kolmogorov Equations, which arise in the study of martingales and forward-backward stochastic differential equations.

This book will appeal to both young and senior researchers in probability and stochastic processes, as well as to practitioners in mathematical finance.

"About this title" may belong to another edition of this title.

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Bally, Vlad, Caramellino, Lucia, Cont, Rama, Utzet, Frederic, Vives, Josep
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ISBN 10: 331927127X ISBN 13: 9783319271279
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This volume contains lecture notes from the coursesgiven by Vlad Bally and Rama Cont at the Barcelona Summer School on StochasticAnalysis (July 2012).The notes of the course by Vlad Bally, co-authoredwith Lucia Caramellino, develop integration by parts formulas in an abstractsetting, extending Malliavin's work on abstract Wiener spaces. The results areapplied to prove absolute continuity and regularity results of the density fora broad class of random processes.Rama Cont's notes provide anintroduction to the Functional Itô Calculus, a non-anticipative functionalcalculus that extends the classical Itô calculus to path-dependent functionalsof stochastic processes. This calculus leads to a new class of path-dependentpartial differential equations, termed Functional Kolmogorov Equations, whicharise in the study of martingales and forward-backward stochastic differentialequations.This book will appeal to both young and senior researchers in probability and stochastic processes, as well as to practitioners in mathematical finance. 220 pp. Englisch. Seller Inventory # 9783319271279

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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes a general method forproving existence of a density for stochastic processes, using interpolationspacesIllustrates a pathwise derivation of the Ito formulaand the Functional Ito calculusProvides solutions to problems in applied fiel. Seller Inventory # 83966798

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Bally, Vlad/ Caramellino, Lucia/ Cont, Rama/ Utzet, Frederic (Editor)/ Vives, Josep (Editor)
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This volume contains lecture notes from the coursesgiven by Vlad Bally and Rama Cont at the Barcelona Summer School on StochasticAnalysis (July 2012).The notes of the course by Vlad Bally, co-authoredwith Lucia Caramellino, develop integration by parts formulas in an abstractsetting, extending Malliavin's work on abstract Wiener spaces. The results areapplied to prove absolute continuity and regularity results of the density fora broad class of random processes.Rama Cont's notes provide anintroduction to the Functional Itô Calculus, a non-anticipative functionalcalculus that extends the classical Itô calculus to path-dependent functionalsof stochastic processes. This calculus leads to a new class of path-dependentpartial differential equations, termed Functional Kolmogorov Equations, whicharise in the study of martingales and forward-backward stochastic differentialequations.This book will appeal to both young and senior researchers in probability and stochastic processes, as well as to practitioners in mathematical finance.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 220 pp. Englisch. Seller Inventory # 9783319271279

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This volume contains lecture notes from the coursesgiven by Vlad Bally and Rama Cont at the Barcelona Summer School on StochasticAnalysis (July 2012).The notes of the course by Vlad Bally, co-authoredwith Lucia Caramellino, develop integration by parts formulas in an abstractsetting, extending Malliavin's work on abstract Wiener spaces. The results areapplied to prove absolute continuity and regularity results of the density fora broad class of random processes.Rama Cont's notes provide anintroduction to the Functional Itô Calculus, a non-anticipative functionalcalculus that extends the classical Itô calculus to path-dependent functionalsof stochastic processes. This calculus leads to a new class of path-dependentpartial differential equations, termed Functional Kolmogorov Equations, whicharise in the study of martingales and forward-backward stochastic differentialequations.This book will appeal to both young and senior researchers in probability and stochastic processes, as well as to practitioners in mathematical finance. Seller Inventory # 9783319271279

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