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Set-Valued Stochastic Integrals and Applications de Michał Kisielewicz

Set-Valued Stochastic Integrals and Applications: Springer Optimization and Its Applications, cartea 157

Autor Michał Kisielewicz
en Limba Engleză Paperback – 27 iun 2021
This book is among the first concise presentations of the set-valued stochastic integration theory as well as its natural applications, as well as the first to contain complex approach theory of set-valued stochastic integrals. Taking particular consideration of set-valued Itô , set-valued stochastic Lebesgue, and stochastic Aumann integrals, the volume is divided into nine parts. It begins with preliminaries of mathematical methods that are then applied in later chapters containing the main results and some of their applications, and contains many new problems. Methods applied in the book are mainly based on functional analysis, theory of probability processes, and theory of set-valued mappings.

The volume will appeal to students of mathematics, economics, and engineering, as well as to mathematics professionals interested in applications of the theory of set-valued stochastic integrals.


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Specificații

ISBN-13: 9783030403317
ISBN-10: 3030403319
Pagini: 281
Ilustrații: XII, 281 p.
Dimensiuni: 155 x 235 mm
Greutate: 0.46 kg
Ediția:1st ed. 2020
Editura: Springer International Publishing
Colecția Springer
Seria Springer Optimization and Its Applications

Locul publicării:Cham, Switzerland

Cuprins

Preface.- List of Symbols.- 1. Preliminaries.- 2. Multifunctions.- 3. Decomposable Subsets of the Space Lp(T,F,Mu, X).- 4. Aumann Stochastic Integrals.- 5. Set-Valued Ito Integrals.- 6. Stochastic Differential Inclusions.- 7. Set-Valued Stochastic Differential Equations and Inclusions.- 8. Stochastic Optimal Control Problems.- 9. Mathematical Finance Problems.- References.- Index.

Recenzii

“The main information on bibliographical sources of the material presented in each chapter … . The author has done a fine job. He has written a book that will be a valuable source of information to researchers … . The book is very interesting for experts as well as novices. It gives a new and interesting variant of the theory of stochastic integration that involves new types of arguments and insights.” (Jerzy Motyl, Mathematical Reviews, March, 2022)

Textul de pe ultima copertă


This book is among the first concise presentations of the set-valued stochastic integration theory as well as its natural applications, as well as the first to contain complex approach theory of set-valued stochastic integrals. Taking particular consideration of set-valued Itô , set-valued stochastic Lebesgue, and stochastic Aumann integrals, the volume is divided into nine parts. It begins with preliminaries of mathematical methods that are then applied in later chapters containing the main results and some of their applications, and contains many new problems. Methods applied in the book are mainly based on functional analysis, theory of probability processes, and theory of set-valued mappings.

The volume will appeal to students of mathematics, economics, and engineering, as well as to mathematics professionals interested in applications of the theory of set-valued stochastic integrals.

Caracteristici

Functions as a self-contained volume, containing preliminaries introducing methods applied in the text Presents recent and pressing issues in set-valued stochastic integrals and some of their applications Contains examples of applications to financial mathematics and engineering problems