Frontiers in Stochastic Analysis–BSDEs, SPDEs and their Applications

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Publisher : Springer Nature
ISBN 13 : 3030222853
Total Pages : 300 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Frontiers in Stochastic Analysis–BSDEs, SPDEs and their Applications by : Samuel N. Cohen

Download or read book Frontiers in Stochastic Analysis–BSDEs, SPDEs and their Applications written by Samuel N. Cohen and published by Springer Nature. This book was released on 2019-08-31 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of selected, revised and extended contributions resulted from a Workshop on BSDEs, SPDEs and their Applications that took place in Edinburgh, Scotland, July 2017 and included the 8th World Symposium on BSDEs. The volume addresses recent advances involving backward stochastic differential equations (BSDEs) and stochastic partial differential equations (SPDEs). These equations are of fundamental importance in modelling of biological, physical and economic systems, and underpin many problems in control of random systems, mathematical finance, stochastic filtering and data assimilation. The papers in this volume seek to understand these equations, and to use them to build our understanding in other areas of mathematics. This volume will be of interest to those working at the forefront of modern probability theory, both established researchers and graduate students.

Frontiers in Stochastic Analysis-BSDEs, SPDEs and Their Applications

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Publisher :
ISBN 13 : 9783030222864
Total Pages : 300 pages
Book Rating : 4.2/5 (228 download)

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Book Synopsis Frontiers in Stochastic Analysis-BSDEs, SPDEs and Their Applications by : Samuel N. Cohen

Download or read book Frontiers in Stochastic Analysis-BSDEs, SPDEs and Their Applications written by Samuel N. Cohen and published by . This book was released on 2019 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of selected, revised and extended contributions resulted from a Workshop on BSDEs, SPDEs and their Applications that took place in Edinburgh, Scotland, July 2017 and included the 8th World Symposium on BSDEs. The volume addresses recent advances involving backward stochastic differential equations (BSDEs) and stochastic partial differential equations (SPDEs). These equations are of fundamental importance in modelling of biological, physical and economic systems, and underpin many problems in control of random systems, mathematical finance, stochastic filtering and data assimilation. The papers in this volume seek to understand these equations, and to use them to build our understanding in other areas of mathematics. This volume will be of interest to those working at the forefront of modern probability theory, both established researchers and graduate students.

From Particle Systems to Partial Differential Equations

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Publisher : Springer Nature
ISBN 13 : 3030697843
Total Pages : 400 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis From Particle Systems to Partial Differential Equations by : Cédric Bernardin

Download or read book From Particle Systems to Partial Differential Equations written by Cédric Bernardin and published by Springer Nature. This book was released on 2021-05-30 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes the joint proceedings of the International Conference on Particle Systems and PDEs VI, VII and VIII. Particle Systems and PDEs VI was held in Nice, France, in November/December 2017, Particle Systems and PDEs VII was held in Palermo, Italy, in November 2018, and Particle Systems and PDEs VIII was held in Lisbon, Portugal, in December 2019. Most of the papers are dealing with mathematical problems motivated by different applications in physics, engineering, economics, chemistry and biology. They illustrate methods and topics in the study of particle systems and PDEs and their relation. The book is recommended to probabilists, analysts and to those mathematicians in general, whose work focuses on topics in mathematical physics, stochastic processes and differential equations, as well as to those physicists who work in statistical mechanics and kinetic theory.

Stochastic Calculus and Applications

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Publisher : Birkhäuser
ISBN 13 : 1493928678
Total Pages : 666 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Stochastic Calculus and Applications by : Samuel N. Cohen

Download or read book Stochastic Calculus and Applications written by Samuel N. Cohen and published by Birkhäuser. This book was released on 2015-11-18 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: Completely revised and greatly expanded, the new edition of this text takes readers who have been exposed to only basic courses in analysis through the modern general theory of random processes and stochastic integrals as used by systems theorists, electronic engineers and, more recently, those working in quantitative and mathematical finance. Building upon the original release of this title, this text will be of great interest to research mathematicians and graduate students working in those fields, as well as quants in the finance industry. New features of this edition include: End of chapter exercises; New chapters on basic measure theory and Backward SDEs; Reworked proofs, examples and explanatory material; Increased focus on motivating the mathematics; Extensive topical index. "Such a self-contained and complete exposition of stochastic calculus and applications fills an existing gap in the literature. The book can be recommended for first-year graduate studies. It will be useful for all who intend to work with stochastic calculus as well as with its applications."–Zentralblatt (from review of the First Edition)

Backward Stochastic Differential Equations

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Publisher : CRC Press
ISBN 13 : 9780582307339
Total Pages : 236 pages
Book Rating : 4.3/5 (73 download)

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Book Synopsis Backward Stochastic Differential Equations by : N El Karoui

Download or read book Backward Stochastic Differential Equations written by N El Karoui and published by CRC Press. This book was released on 1997-01-17 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the texts of seminars presented during the years 1995 and 1996 at the Université Paris VI and is the first attempt to present a survey on this subject. Starting from the classical conditions for existence and unicity of a solution in the most simple case-which requires more than basic stochartic calculus-several refinements on the hypotheses are introduced to obtain more general results.

Introduction to Stochastic Partial Differential Equations

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Publisher : Springer
ISBN 13 : 9783642165351
Total Pages : 340 pages
Book Rating : 4.1/5 (653 download)

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Book Synopsis Introduction to Stochastic Partial Differential Equations by : István Gyöngy

Download or read book Introduction to Stochastic Partial Differential Equations written by István Gyöngy and published by Springer. This book was released on 2011 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The $L_2$-theory of parabolic SPDEs is presented in this book. The development of the theory of SPDEs is motivated by problems arising in practice surrounding the numerical calculations of nonlinear filters for partially observed diffusion processes. To address these questions, the dependence of SPDEs on the driving semimartingales is investigated and new results on their numerical approximations are also given. In contrast to previous expositions, SPDEs driven by random measures and discontinuous semimartingales are also considered, and the theory of SPDEs driven by Levy processes are included as special cases. The author introduces a more general theory of SPDEs developing the theory of stochastic evolution equations in Banach spaces. He presents applications to large classes of linear and nonlinear SPDEs and , in particular, he developes a theory of SPDEs with unbounded coefficients in weighted Sobolev spaces. In this unique book regularity properties of the solutions are obtained via new results on dependence of the solutions on parameters, and existence and uniqueness theorems for parabolic SPDEs on smooth domains of $R^d$ are proven. Furthermore, the present book makes the theory more accessible for beginners, because initial linear parabolic SPDEs on the whole $R^d$ are considered, and the main existence and uniqueness results are obtained by elementary methods while exercises and applications are also provided

Contemporary Quantitative Finance

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Publisher : Springer Science & Business Media
ISBN 13 : 3642034799
Total Pages : 423 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Contemporary Quantitative Finance by : Carl Chiarella

Download or read book Contemporary Quantitative Finance written by Carl Chiarella and published by Springer Science & Business Media. This book was released on 2010-07-01 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of papers dedicated to Professor Eckhard Platen to celebrate his 60th birthday, which occurred in 2009. The contributions have been written by a number of his colleagues and co-authors. All papers have been - viewed and presented as keynote talks at the international conference “Quantitative Methods in Finance” (QMF) in Sydney in December 2009. The QMF Conference Series was initiated by Eckhard Platen in 1993 when he was at the Australian - tional University (ANU) in Canberra. Since joining UTS in 1997 the conference came to be organised on a much larger scale and has grown to become a signi?cant international event in quantitative ?nance. Professor Platen has held the Chair of Quantitative Finance at the University of Technology, Sydney (UTS) jointly in the Faculties of Business and Science since 1997. Prior to this appointment, he was the Founding Head of the Centre for Fin- cial Mathematics at the Institute of Advanced Studies at ANU, a position to which he was appointed in 1994. Eckhard completed a PhD in Mathematics at the Technical University in Dresden in 1975 and in 1985 obtained his Doctor of Science degree (Habilitation degree in the German system) from the Academy of Sciences in Berlin where he headed the Stochastics group at the Weierstrass Institute.

From Particle Systems to Partial Differential Equations

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Publisher : Springer
ISBN 13 : 9783030697860
Total Pages : 400 pages
Book Rating : 4.6/5 (978 download)

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Book Synopsis From Particle Systems to Partial Differential Equations by : Cédric Bernardin

Download or read book From Particle Systems to Partial Differential Equations written by Cédric Bernardin and published by Springer. This book was released on 2022-06-01 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes the joint proceedings of the International Conference on Particle Systems and PDEs VI, VII and VIII. Particle Systems and PDEs VI was held in Nice, France, in November/December 2017, Particle Systems and PDEs VII was held in Palermo, Italy, in November 2018, and Particle Systems and PDEs VIII was held in Lisbon, Portugal, in December 2019. Most of the papers are dealing with mathematical problems motivated by different applications in physics, engineering, economics, chemistry and biology. They illustrate methods and topics in the study of particle systems and PDEs and their relation. The book is recommended to probabilists, analysts and to those mathematicians in general, whose work focuses on topics in mathematical physics, stochastic processes and differential equations, as well as to those physicists who work in statistical mechanics and kinetic theory.

Stochastic Analysis with Financial Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3034800975
Total Pages : 430 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Stochastic Analysis with Financial Applications by : Arturo Kohatsu-Higa

Download or read book Stochastic Analysis with Financial Applications written by Arturo Kohatsu-Higa and published by Springer Science & Business Media. This book was released on 2011-07-22 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic analysis has a variety of applications to biological systems as well as physical and engineering problems, and its applications to finance and insurance have bloomed exponentially in recent times. The goal of this book is to present a broad overview of the range of applications of stochastic analysis and some of its recent theoretical developments. This includes numerical simulation, error analysis, parameter estimation, as well as control and robustness properties for stochastic equations. The book also covers the areas of backward stochastic differential equations via the (non-linear) G-Brownian motion and the case of jump processes. Concerning the applications to finance, many of the articles deal with the valuation and hedging of credit risk in various forms, and include recent results on markets with transaction costs.

Multidimensional Diffusion Processes

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Publisher : Springer
ISBN 13 : 3540289992
Total Pages : 338 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Multidimensional Diffusion Processes by : Daniel W. Stroock

Download or read book Multidimensional Diffusion Processes written by Daniel W. Stroock and published by Springer. This book was released on 2007-02-03 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This book is an excellent presentation of the application of martingale theory to the theory of Markov processes, especially multidimensional diffusions. [...] This monograph can be recommended to graduate students and research workers but also to all interested in Markov processes from a more theoretical point of view." Mathematische Operationsforschung und Statistik

Stochastic Optimal Control in Infinite Dimension

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Publisher : Springer
ISBN 13 : 3319530674
Total Pages : 916 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Stochastic Optimal Control in Infinite Dimension by : Giorgio Fabbri

Download or read book Stochastic Optimal Control in Infinite Dimension written by Giorgio Fabbri and published by Springer. This book was released on 2017-06-22 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an introduction to stochastic optimal control in infinite dimension, this book gives a complete account of the theory of second-order HJB equations in infinite-dimensional Hilbert spaces, focusing on its applicability to associated stochastic optimal control problems. It features a general introduction to optimal stochastic control, including basic results (e.g. the dynamic programming principle) with proofs, and provides examples of applications. A complete and up-to-date exposition of the existing theory of viscosity solutions and regular solutions of second-order HJB equations in Hilbert spaces is given, together with an extensive survey of other methods, with a full bibliography. In particular, Chapter 6, written by M. Fuhrman and G. Tessitore, surveys the theory of regular solutions of HJB equations arising in infinite-dimensional stochastic control, via BSDEs. The book is of interest to both pure and applied researchers working in the control theory of stochastic PDEs, and in PDEs in infinite dimension. Readers from other fields who want to learn the basic theory will also find it useful. The prerequisites are: standard functional analysis, the theory of semigroups of operators and its use in the study of PDEs, some knowledge of the dynamic programming approach to stochastic optimal control problems in finite dimension, and the basics of stochastic analysis and stochastic equations in infinite-dimensional spaces.

Numerical Methods in Finance

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Publisher : Springer Science & Business Media
ISBN 13 : 3642257461
Total Pages : 478 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Numerical Methods in Finance by : René Carmona

Download or read book Numerical Methods in Finance written by René Carmona and published by Springer Science & Business Media. This book was released on 2012-03-23 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical methods in finance have emerged as a vital field at the crossroads of probability theory, finance and numerical analysis. Based on presentations given at the workshop Numerical Methods in Finance held at the INRIA Bordeaux (France) on June 1-2, 2010, this book provides an overview of the major new advances in the numerical treatment of instruments with American exercises. Naturally it covers the most recent research on the mathematical theory and the practical applications of optimal stopping problems as they relate to financial applications. By extension, it also provides an original treatment of Monte Carlo methods for the recursive computation of conditional expectations and solutions of BSDEs and generalized multiple optimal stopping problems and their applications to the valuation of energy derivatives and assets. The articles were carefully written in a pedagogical style and a reasonably self-contained manner. The book is geared toward quantitative analysts, probabilists, and applied mathematicians interested in financial applications.

Stochastic Integration by Parts and Functional Itô Calculus

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Publisher : Birkhäuser
ISBN 13 : 3319271288
Total Pages : 208 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Stochastic Integration by Parts and Functional Itô Calculus by : Vlad Bally

Download or read book Stochastic Integration by Parts and Functional Itô Calculus written by Vlad Bally and published by Birkhäuser. This book was released on 2016-03-11 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains lecture notes from the courses given by Vlad Bally and Rama Cont at the Barcelona Summer School on Stochastic Analysis (July 2012). The notes of the course by Vlad Bally, co-authored with Lucia Caramellino, develop integration by parts formulas in an abstract setting, extending Malliavin's work on abstract Wiener spaces. The results are applied to prove absolute continuity and regularity results of the density for a broad class of random processes. Rama Cont's notes provide an introduction to the Functional Itô Calculus, a non-anticipative functional calculus that extends the classical Itô calculus to path-dependent functionals of stochastic processes. This calculus leads to a new class of path-dependent partial differential equations, termed Functional Kolmogorov Equations, which arise in the study of martingales and forward-backward stochastic differential equations. This book will appeal to both young and senior researchers in probability and stochastic processes, as well as to practitioners in mathematical finance.

Malliavin Calculus and Stochastic Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 1461459060
Total Pages : 580 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Malliavin Calculus and Stochastic Analysis by : Frederi Viens

Download or read book Malliavin Calculus and Stochastic Analysis written by Frederi Viens and published by Springer Science & Business Media. This book was released on 2013-02-15 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stochastic calculus of variations of Paul Malliavin (1925 - 2010), known today as the Malliavin Calculus, has found many applications, within and beyond the core mathematical discipline. Stochastic analysis provides a fruitful interpretation of this calculus, particularly as described by David Nualart and the scores of mathematicians he influences and with whom he collaborates. Many of these, including leading stochastic analysts and junior researchers, presented their cutting-edge research at an international conference in honor of David Nualart's career, on March 19-21, 2011, at the University of Kansas, USA. These scholars and other top-level mathematicians have kindly contributed research articles for this refereed volume.

Recent Advances in Computational Finance

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Publisher : Nova Science Publishers
ISBN 13 : 9781626181236
Total Pages : 0 pages
Book Rating : 4.1/5 (812 download)

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Book Synopsis Recent Advances in Computational Finance by : Nikolaos Thomaidis

Download or read book Recent Advances in Computational Finance written by Nikolaos Thomaidis and published by Nova Science Publishers. This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: From continuous optimization to natural and evolutionary computing to time-series econometrics, this edition covers contemporary developments in computational finance. The book examines how interdisciplinary contributions from applied mathematics, statistics, and engineering can be adapted to a problem-solving approach in finance with an emphasis on vexing, but identifiable, real-world problems.

Stochastic Control and Mathematical Modeling

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Publisher : Cambridge University Press
ISBN 13 : 9780521195034
Total Pages : 340 pages
Book Rating : 4.1/5 (95 download)

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Book Synopsis Stochastic Control and Mathematical Modeling by : Hiroaki Morimoto

Download or read book Stochastic Control and Mathematical Modeling written by Hiroaki Morimoto and published by Cambridge University Press. This book was released on 2010-01-29 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a concise and elementary introduction to stochastic control and mathematical modeling. This book is designed for researchers in stochastic control theory studying its application in mathematical economics and those in economics who are interested in mathematical theory in control. It is also a good guide for graduate students studying applied mathematics, mathematical economics, and non-linear PDE theory. Contents include the basics of analysis and probability, the theory of stochastic differential equations, variational problems, problems in optimal consumption and in optimal stopping, optimal pollution control, and solving the HJB equation with boundary conditions. Major mathematical requisitions are contained in the preliminary chapters or in the appendix so that readers can proceed without referring to other materials.

Applications of Variational Inequalities in Stochastic Control

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Publisher : Elsevier
ISBN 13 : 9780080875330
Total Pages : 563 pages
Book Rating : 4.8/5 (753 download)

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Book Synopsis Applications of Variational Inequalities in Stochastic Control by : A. Bensoussan

Download or read book Applications of Variational Inequalities in Stochastic Control written by A. Bensoussan and published by Elsevier. This book was released on 2011-08-18 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of Variational Inequalities in Stochastic Control