Continuous Strong Markov Processes in Dimension One: A Stochastic Calculus Approach
The book presents an in-depth study of arbitrary one-dimensional continuous strong Markov processes using methods of shastic calculus. Departing from the classical approaches, a unified investigation of regular as well as arbitrary non-regular diffusions is provided. A general construction method for such processes, based on a generalization of the concept of a perfect additive functional, is developed. The intrinsic decomposition of a continuous strong Markov semimartingale is discovered. The book also investigates relations to shastic differential equations and fundamental examples of irregular diffusions.
1111353898
Continuous Strong Markov Processes in Dimension One: A Stochastic Calculus Approach
The book presents an in-depth study of arbitrary one-dimensional continuous strong Markov processes using methods of shastic calculus. Departing from the classical approaches, a unified investigation of regular as well as arbitrary non-regular diffusions is provided. A general construction method for such processes, based on a generalization of the concept of a perfect additive functional, is developed. The intrinsic decomposition of a continuous strong Markov semimartingale is discovered. The book also investigates relations to shastic differential equations and fundamental examples of irregular diffusions.
39.95 Out Of Stock
Continuous Strong Markov Processes in Dimension One: A Stochastic Calculus Approach

Continuous Strong Markov Processes in Dimension One: A Stochastic Calculus Approach

Continuous Strong Markov Processes in Dimension One: A Stochastic Calculus Approach

Continuous Strong Markov Processes in Dimension One: A Stochastic Calculus Approach

Paperback(1998)

$39.95 
  • SHIP THIS ITEM
    Temporarily Out of Stock Online
  • PICK UP IN STORE

    Your local store may have stock of this item.

Related collections and offers


Overview

The book presents an in-depth study of arbitrary one-dimensional continuous strong Markov processes using methods of shastic calculus. Departing from the classical approaches, a unified investigation of regular as well as arbitrary non-regular diffusions is provided. A general construction method for such processes, based on a generalization of the concept of a perfect additive functional, is developed. The intrinsic decomposition of a continuous strong Markov semimartingale is discovered. The book also investigates relations to shastic differential equations and fundamental examples of irregular diffusions.

Product Details

ISBN-13: 9783540644651
Publisher: Springer Berlin Heidelberg
Publication date: 07/01/1998
Series: Lecture Notes in Mathematics , #1688
Edition description: 1998
Pages: 140
Product dimensions: 6.10(w) x 9.25(h) x 0.01(d)

Table of Contents

Basic concepts and preparatory results.- Classification of the points of the state space.- Weakly additive functionals and time change of strong Markov processes.- Semimartingale decomposition of continuous strong Markov semimartingales.- Occupation time formula.- Construction of continuous strong Markov processes.- Continuous strong Markov semimartingales as solutions of shastic differential equations.
From the B&N Reads Blog

Customer Reviews