Overview

"One service mathematics has rc:ndered the 'Et moi, ""', si j'avait su comment CD revenir, je n'y serais point alle. ' human race. It has put common SCIIJC back Jules Verne where it belongs. on the topmost shelf next to tbe dusty canister 1abdled 'discarded non- The series is divergent; tberefore we may be sense'. able to do sometbing witb it Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ...'; 'One service logic has rendered com- puter science ...'; 'One service category theory has rendered mathematics ...'. All arguably true_ And all statements obtainable this way form part of the raison d'etre of this series_ This series, Mathematics and Its ApplicatiOns, started in 1977. Now that over one hundred volumes have appeared it seems opportune to reexamine its scope_ At the time I wrote ""Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the 'tree' of knowledge of mathematics and related fields does not grow only by putting forth new branches."

Full Product Details

Author:   Robert Liptser ,  A.N. Shiryayev
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 1989
Volume:   49
Dimensions:   Width: 15.50cm , Height: 4.00cm , Length: 23.50cm
Weight:   1.223kg
ISBN:  

9789401076005

ISBN 10:   9401076006
Pages:   792
Publication Date:   04 October 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

I.- 1. Basic Concepts and the Review of Results of «The General Theory of Stochastic Processes».- 2. Semimartingales. I. Stochastic Integral.- 3. Random Measures and their Compensators.- 4. Semimartingales. II Canonical Representation.- II.- 5. Weak Convergence of Finite-Dimensional Distributions of Semimartingales to Distributions of Processes with Conditionally Independent Increments.- 6. The Space D. Relative Compactness of Probability Distributions of Semimartingales.- 7. Weak Convergence of Distributions of Semimartingales to Distributions of Processes with Conditionally Independent Increments.- 8. Weak Convergence of Distributions of Semimartingales to the Distribution of a Semimartingale.- III.- 9. Invariance Principle and Diffusion Approximation for Models Generated by Stationary Processes.- 10. Diffusion Approximation for Semimartingales with a Normal Reflexion in a Convex Region.- Historic-Bibliographical notes.

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