| 书目名称 | Stochastic Integration by Parts and Functional Itô Calculus |
| 编辑 | Vlad Bally,Lucia Caramellino,Rama Cont,Frederic Ut |
| 视频video | |
| 概述 | Includes a general method for.proving existence of a density for stochastic processes, using interpolation.Illustrates a pathwise derivation of the Ito formulaand the Functional Ito calculus.Provides |
| 丛书名称 | Advanced Courses in Mathematics - CRM Barcelona |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Textbook 2016 |
| 关键词 | Malliavin calculus; probability laws; path-dependent PDE; Kolmogorov equations; interpolation spaces; ord |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-27128-6 |
| isbn_softcover | 978-3-319-27127-9 |
| isbn_ebook | 978-3-319-27128-6Series ISSN 2297-0304 Series E-ISSN 2297-0312 |
| issn_series | 2297-0304 |
| copyright | Springer International Publishing Switzerland 2016 |
发表于 2025-3-21 16:08:57
