Lectures on Stochastic Differential Equations and Malliavin Calculus
by S. Watanabe
Publisher: Tata Institute of Fundamental Research 1984
ISBN/ASIN: 3540128972
ISBN-13: 9783540128977
Number of pages: 113
Description:
The author's main purpose in these lectures was to study solutions of stochastic differential equations as Wiener functionals and apply to them some infinite dimensional functional analysis. This idea was due to P. Malliavin.
Download or read it online for free here:
Download link
(470KB, PDF)
Similar books
Stochastic Differential Equations: Models and Numericsby Anders Szepessy, et al. - KTH
The goal of this course is to give useful understanding for solving problems formulated by stochastic differential equations models in science, engineering and finance. Typically, these problems require numerical methods to obtain a solution.
(8134 views)
Stochastic Analysis - Notesby I. F. Wilde
A gentle introduction to the mathematics of Stochastic Analysis. From the table of contents: Introduction; Conditional expectation; Martingales; Stochastic integration - informally; Wiener process; Ito's formula; Bibliography.
(15457 views)
Probability Theory and Stochastic Processes with Applicationsby Oliver Knill - Overseas Press
This text covers material of a basic probability course, discrete stochastic processes including Martingale theory, continuous time stochastic processes like Brownian motion and stochastic differential equations, estimation theory, and more.
(12470 views)
Advanced Stochastic Processesby Jan A. Van Casteren - Bookboon
In this book, which is basically self-contained, the following topics are treated thoroughly: Brownian motion as a Gaussian process, Brownian motion as a Markov process, Brownian motion as a martingale, Markov chains, renewal theory, etc.
(8169 views)