Can I read An Introduction to Markov Processes Graduate Texts in Mathematics on EtoBox?

An Introduction to Markov Processes Graduate Texts in Mathematics by Daniel W. Stroock is a nonfiction available to read on EtoBox.

What is An Introduction to Markov Processes Graduate Texts in Mathematics about?

Finite state space, a trial run -- Moving to Euclidean space, the real thing -- Itão's approach in the Euclidean setting -- Further considerations -- Itão's theory of stochastic integration -- Applications of stochastic integration to Brownian motion -- The Kunita-Watanabe extension -- Stratonovish's theory.;Kiyosi Itô's greatest contribution to probability theory may be his introduction of stochastic differential equations to explain the Kolmogorov-Feller theory of Markov processes. Starting with the geometric ideas that guided him, this book gives an account of Itô's program. The modern theory of Markov processes was initiated by A.N. Kolmogorov. However, Kolmogorov's approach was too analytic to reveal the probabilistic foundations on which it rests. In particular, it hides the central role played by the simplest Markov processes: those with independent, identically distributed increments. To remedy this defect, Itô interpreted Kolmogorov's famous forward equation as an equation that describes the integral curve of a vector field on the space of probability measures. Thus, in order to show how Itô's thinking leads to his theory of stochastic integral equations, Stroock begins wi

Who reads An Introduction to Markov Processes Graduate Texts in Mathematics?

Author

Daniel W. Stroock

Publisher

Springer Berlin Heidelberg : Imprint : Springer

Published

2013

Language

EN

ISBN

9783642405235

Category

nonfiction

Subjects

Mathematics, Science, Stem