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Stochastic Integration by Parts and Functional Itô Calculus

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Stochastic Integration by Parts and Functional Itô Calculus/ by Vlad Bally, Lucia Caramellino, Rama Cont ; edited by Frederic Utzet, Josep Vives.
Author:	Bally, Vlad.
other author:	Caramellino, Lucia.
Description:	IX, 208 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Probabilities. -
Online resource:	https://doi.org/10.1007/978-3-319-27128-6
ISBN:	9783319271286

Stochastic Integration by Parts and Functional Itô Calculus
Bally, Vlad.

Stochastic Integration by Parts and Functional Itô Calculus[electronic resource] /by Vlad Bally, Lucia Caramellino, Rama Cont ; edited by Frederic Utzet, Josep Vives. - 1st ed. 2016. - IX, 208 p. 1 illus.online resource. - Advanced Courses in Mathematics - CRM Barcelona,2297-0304. - Advanced Courses in Mathematics - CRM Barcelona,.

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.

ISBN: 9783319271286

Standard No.: 10.1007/978-3-319-27128-6doiSubjects--Topical Terms:

527847
Probabilities.

LC Class. No.: QA273.A1-274.9

Dewey Class. No.: 519.2

Stochastic Integration by Parts and Functional Itô Calculus
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