Brownian Motion Martingales and Stochastic Calculus is popular PDF and ePub book, written by Jean-François Le Gall in 2016-04-28, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Brownian Motion Martingales and Stochastic Calculus can be Read Online from any device for your convenience.
Brownian Motion Martingales and Stochastic Calculus Book PDF Summary
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 a strong 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 concise and efficient presentation, without any concession to mathematical rigor. The material has been taught by the author for several years in graduate courses at two of the most prestigious French universities. The fact that proofs are given with full details makes the book particularly suitable for self-study. The numerous exercises help the reader to get acquainted with the tools of stochastic calculus.
Detail Book of Brownian Motion Martingales and Stochastic Calculus PDF
- Author : Jean-François Le Gall
- Release : 28 April 2016
- Publisher : Springer
- ISBN : 9783319310893
- Genre : Mathematics
- Total Page : 282 pages
- Language : English
- PDF File Size : 17,9 Mb
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