20% off all books with the code: BOOKS
  • check 10+ million books
  • check New arrivals every day
  • check Trusted by 1M+ customers
  • check Great prices & discounts
  • check Shipping across Europe

Noncausal Stochastic Calculus - Shigeyoshi Ogawa

English
2017-08-04
€135.50 €169.38

-20% with code BOOKS

In stock at our supplier

Shipping in 17-23 days

30-day return policy

This book presents an elementary introduction to the theory of noncausal stochastic calculus that arises as a natural alternative to the standard theory of stochastic calculus founded in 1944 by Professor Kiyoshi Itô. As is generally known, Itô Calculus is essentially based on the "hypothesis of causality", asking random functions to be adapted to a natural filtration generated by Brownian motion or more ge ... Full description

You May Also Like

Description

This book presents an elementary introduction to the theory of noncausal stochastic calculus that arises as a natural alternative to the standard theory of stochastic calculus founded in 1944 by Professor Kiyoshi Itô. As is generally known, Itô Calculus is essentially based on the "hypothesis of causality", asking random functions to be adapted to a natural filtration generated by Brownian motion or more generally by square integrable martingale.
The intention in this book is to establish a stochastic calculus that is free from this "hypothesis of causality". To be more precise, a noncausal theory of stochastic calculus is developed in this book, based on the noncausal integral introduced by the author in 1979.
After studying basic properties of the noncausal stochastic integral, various concrete problems of noncausal nature are considered, mostly concerning stochastic functional equations such as SDE, SIE, SPDE, and others, to show not only the necessity of such theory of noncausal stochastic calculus but also its growing possibility as a tool for modeling and analysis in every domain of mathematical sciences. The reader may find there many open problems as well.

More Information

Author Shigeyoshi Ogawa
Publisher Springer Japan
Release year 2017
Cover type Hardcover
EAN 9784431565741
Write Your Own Review
You're reviewing: Noncausal Stochastic Calculus
Your Rating:

Goodreads Reviews

€135.50 €169.38