Malliavin Calculus and Its Applications is popular PDF and ePub book, written by David Nualart in 2009, 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, Malliavin Calculus and Its Applications can be Read Online from any device for your convenience.
Malliavin Calculus and Its Applications Book PDF Summary
The Malliavin calculus was developed to provide a probabilistic proof of Hormander's hypoellipticity theorem. The theory has expanded to encompass other significant applications. The main application of the Malliavin calculus is to establish the regularity of the probability distribution of functionals of an underlying Gaussian process. In this way, one can prove the existence and smoothness of the density for solutions of various stochastic differential equations. More recently, applications of the Malliavin calculus in areas such as stochastic calculus for fractional Brownian motion, central limit theorems for multiple stochastic integrals, and mathematical finance have emerged. The first part of the book covers the basic results of the Malliavin calculus. The middle part establishes the existence and smoothness results that then lead to the proof of Hormander's hypoellipticity theorem. The last part discusses the recent developments for Brownian motion, central limit theorems, and mathematical finance.
Detail Book of Malliavin Calculus and Its Applications PDF
- Author : David Nualart
- Release : 20 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821847794
- Genre : Mathematics
- Total Page : 99 pages
- Language : English
- PDF File Size : 10,8 Mb
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