Stochastic Flows and Jump-Diffusions

Language: English

Published by Springer Nature Singapore Apr 2019, 2019

9811338000 / 9789811338007

Series: Book 26 of 35 - Probability Theory and Stochastic Modelling

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph presents a modern treatment of (1) stochastic differential equations and (2) diffusion and jump-diffusion processes. The simultaneous treatment of diffusion processes and jump processes in this book is unique: Each chapter starts from continuous processes and then proceeds to processes with jumps.In the first part of the book, it is shown that solutions of stochastic differential equations define stochastic flows of diffeomorphisms. Then, the relation between stochastic flows and heat equations is discussed. The latter part investigates fundamental solutions of these heat equations (heat kernels) through the study of the Malliavin calculus. The author obtains smooth densities for transition functions of various types of diffusions and jump-diffusions and shows that these density functions are fundamental solutions for various types of heat equations and backward heat equations. Thus, in this book fundamental solutions for heat equations and backward heat equations are constructed independently of the theory of partial differential equations.Researchers and graduate student in probability theory will find this book very useful. 372 pp. Englisch.…

Seller Inventory # 9789811338007

Title
Stochastic Flows and Jump-Diffusions
Author
Hiroshi Kunita
Publisher
Springer Nature Singapore Apr 2019
Publication year
2019
Condition
Neu
Binding
Buch
Language
English
ISBN 10
9811338000
ISBN 13
9789811338007
Item weight
723 grams
Dimensions
241x160x26 mm
Series
Book 26 of 35: Probability Theory and Stochastic Modelling

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

Shipping rates from Germany to U.S.A.

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BuchWeltWeit Ludwig Meier e.K.

Germany