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Brownian Motion And Stochastic Calculus (graduate Texts In Mathematics) by Ioannis Karatzas; Steven E. Shreve is a nonfiction available to read on EtoBox.

What is Brownian Motion And Stochastic Calculus (graduate Texts In Mathematics) about?

This Book Is Designed For A Graduate Course In Stochastic Processes. It Is Written For The Reader Who Is Familiar With Measure-theoretic Probability And The Theory Of Discrete-time Processes Who Is Now Ready To Explore Continuous-time Stochastic Processes. The Vehicle Chosen For This Exposition Is Brownian Motion, Which Is Presented As The Canonical Example Of Both A Markov Process And A Martingale In Continuous Time. The Authors Show How, By Means Of Stochastic Integration And Random Time Change, All Continuous Martingales And Many Continuous Markov Processes Can Be Represented In Terms Of Brownian Motion. The Text Is Complemented By A Large Number Of Exercises. Contents: Martingales, Stopping Times And Filtrations -- Brownian Motion -- Stochastic Integration -- Brownian Motion And Partial Differential Equations -- Stochastic Differential Equations -- P. Lévy's Theory Of Brownian Local Time -- Bibliography -- Index. By Ioannis Karatzas, Steven E. Shreve.

Who reads Brownian Motion And Stochastic Calculus (graduate Texts In Mathematics)?

Author

Ioannis Karatzas; Steven E. Shreve

Publisher

Springer-Verlag

Published

2012

Language

EN

ISBN

9781468403046

Category

nonfiction

Subjects

Mathematics, Stem