期刊全称 | Brownian Motion, Martingales, and Stochastic Calculus | 影响因子2023 | Jean-François Le Gall | 视频video | | 发行地址 | Provides a concise and rigorous presentation of stochastic integration and stochastic calculus for continuous semimartingales.Presents major applications of stochastic calculus to Brownian motion and | 学科分类 | Graduate Texts in Mathematics | 图书封面 |  | 影响因子 | This book offers a rigorous and self-contained presentation of stochastic integration and stochastic calculus within the general framework of continuous semimartingales. The main tools of stochastic calculus, including Itô’s formula, the optional stopping theorem and Girsanov’s theorem, are treated in detail alongside many illustrative examples. The book also contains an introduction to Markov processes, with applications to solutions of stochastic differential equations and to connections between Brownian motion and partial differential equations. The theory of local times of semimartingales is discussed in the last chapter..Since its invention by Itô, stochastic calculus has proven to be one of the most important techniques of modern probability theory, and has been used in the most recent theoretical advances as well as in applications to other fields such as mathematical finance. .Brownian Motion, Martingales, and Stochastic Calculus. provides astrong theoretical background to the reader interested in such developments..Beginning graduate or advanced undergraduate students will benefit from this detailed approach to an essential area of probability theory. The emphasis is on co | Pindex | Textbook 2016 |
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