Logo - springer
Slogan - springer

Birkhäuser - Birkhäuser Applied Probability and Statistics | Handbook of Brownian Motion - Facts and Formulae

Handbook of Brownian Motion - Facts and Formulae

Borodin, Andrei N., Salminen, Paavo

2nd ed. 2002, XV, 672 p.

A product of Birkhäuser Basel
Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$169.00

(net) price for USA

ISBN 978-3-0348-8163-0

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$239.00

(net) price for USA

ISBN 978-3-7643-6705-3

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

Softcover
Information

Softcover (also known as softback) version.

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$219.00

(net) price for USA

ISBN 978-3-0348-9462-3

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

The purpose of this book is to give an easy reference to a large number of facts and formulae associated Brownian motion. The book consists of two parts. The first one - theory part - is devoted to properties of linear diffusions in general and Brownian motion in particular. Results are given mainly without proofs. The second one - formula part - is a table of distributions of functionals of Brownian motion and related processes. The collection contains more than 2500 numbered formulae.
This book is of value as a basic reference material to researchers, graduate students, and people doing applied work with Brownian motion and diffusions. It can also be used as a source of explicit examples when teaching stochastic processes.
Compared with the first edition published in 1996, this second edition has been revised and considerably expanded. More than 1000 new formulae have been added to the tables and, in particular, geometric Brownian motion is covered both in the theoretical and the formula part of the book.

Content Level » Research

Keywords » Bessel process - Brownian motion - Markov process - Mathematical Finance - Ornstein-Uhlenbeck process - Probability - Statistics - Stochastic Processes - Stochastic calculus - calculus - geometric Brownian motion - local time - stochastic process

Related subjects » Birkhäuser Applied Probability and Statistics

Table of contents 

I: Theory.- I. Stochastic processes in general.- II. Linear diffusions.- III. Stochastic calculus.- IV. Brownian motion.- V. Local time as a Markov process.- VI. Differential systems associated to Brownian motion.- Appendix 1. Briefly on some diffusions.- II: TABLES OF DISTRIBUTIONS OF FUNCTIONALS OF BROWNIAN MOTION AND RELATED PROCESSES.- 1. Brownian motion.- 2. Brownian motion with drift.- 3. Reflecting Brownian motion.- 4. Bessel process of order ?.- 5. Bessel process of order 1/2.- 6. Bessel process of order zero.- 7. Ornstein-Uhlenbeck process.- 8. Radial Ornstein-Uhlenbeck process.- 9. Geometric Brownian motion.- Appendix 2. Special functions.- Appendix 3. Inverse Laplace transforms.- Appendix 4. Differential equations and their solutions.- Appendix 5. Formulae for n-fold differentiation.

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Probability Theory and Stochastic Processes.