Stochastic Analysis And Related Topics

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New Trends in Stochastic Analysis and Related Topics

Author : Huaizhong Zhao
Publisher : World Scientific
ISBN 13 : 9814360910
Total Pages : 458 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis New Trends in Stochastic Analysis and Related Topics by : Huaizhong Zhao

Download or read book New Trends in Stochastic Analysis and Related Topics written by Huaizhong Zhao and published by World Scientific. This book was released on 2012 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume is dedicated to Professor David Elworthy to celebrate his fundamental contribution and exceptional influence on stochastic analysis and related fields. Stochastic analysis has been profoundly developed as a vital fundamental research area in mathematics in recent decades. It has been discovered to have intrinsic connections with many other areas of mathematics such as partial differential equations, functional analysis, topology, differential geometry, dynamical systems, etc. Mathematicians developed many mathematical tools in stochastic analysis to understand and model random phenomena in physics, biology, finance, fluid, environment science, etc. This volume contains 12 comprehensive review/new articles written by world leading researchers (by invitation) and their collaborators. It covers stochastic analysis on manifolds, rough paths, Dirichlet forms, stochastic partial differential equations, stochastic dynamical systems, infinite dimensional analysis, stochastic flows, quantum stochastic analysis and stochastic Hamilton Jacobi theory. Articles contain cutting edge research methodology, results and ideas in relevant fields. They are of interest to research mathematicians and postgraduate students in stochastic analysis, probability, partial differential equations, dynamical systems, mathematical physics, as well as to physicists, financial mathematicians, engineers, etc.

Stochastic Analysis and Related Topics VII

Author : Laurent Decreusefond
Publisher : Springer Science & Business Media
ISBN 13 : 1461201578
Total Pages : 256 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Stochastic Analysis and Related Topics VII by : Laurent Decreusefond

Download or read book Stochastic Analysis and Related Topics VII written by Laurent Decreusefond and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most challenging subjects of stochastic analysis in relation to physics is the analysis of heat kernels on infinite dimensional manifolds. The simplest nontrivial case is that of thepath and loop space on a Lie group. In this volume an up-to-date survey of the topic is given by Leonard Gross, a prominent developer of the theory. Another concise but complete survey of Hausdorff measures on Wiener space and its applications to Malliavin Calculus is given by D. Feyel, one of the most active specialists in this area. Other survey articles deal with short-time asymptotics of diffusion pro cesses with values in infinite dimensional manifolds and large deviations of diffusions with discontinuous drifts. A thorough survey is given of stochas tic integration with respect to the fractional Brownian motion, as well as Stokes' formula for the Brownian sheet, and a new version of the log Sobolev inequality on the Wiener space. Professional mathematicians looking for an overview of the state-of-the art in the above subjects will find this book helpful. In addition, graduate students as well as researchers whose domain requires stochastic analysis will find the original results of interest for their own research. The organizers acknowledge gratefully the financial help ofthe University of Oslo, and the invaluable aid of Professor Bernt 0ksendal and l'Ecole Nationale Superieure des Telecommunications.

Stochastic Analysis and Related Topics VI

Author : Laurent Decreusefond
Publisher : Springer Science & Business Media
ISBN 13 : 146122022X
Total Pages : 414 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Stochastic Analysis and Related Topics VI by : Laurent Decreusefond

Download or read book Stochastic Analysis and Related Topics VI written by Laurent Decreusefond and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the contributions of the participants of the Sixth Oslo-Silivri Workshop on Stochastic Analysis, held in Geilo from July 29 to August 6, 1996. There are two main lectures " Stochastic Differential Equations with Memory, by S.E.A. Mohammed, " Backward SDE's and Viscosity Solutions of Second Order Semilinear PDE's, by E. Pardoux. The main lectures are presented at the beginning of the volume. There is also a review paper at the third place about the stochastic calculus of variations on Lie groups. The contributing papers vary from SPDEs to Non-Kolmogorov type probabilistic models. We would like to thank " VISTA, a research cooperation between Norwegian Academy of Sciences and Letters and Den Norske Stats Oljeselskap (Statoil), " CNRS, Centre National de la Recherche Scientifique, " The Department of Mathematics of the University of Oslo, " The Ecole Nationale Superieure des Telecommunications, for their financial support. L. Decreusefond J. Gjerde B. 0ksendal A.S. Ustunel PARTICIPANTS TO THE 6TH WORKSHOP ON STOCHASTIC ANALYSIS Vestlia HØyfjellshotell, Geilo, Norway, July 28 -August 4, 1996. E-mail: [email protected] Aureli ALABERT Departament de Matematiques Laurent DECREUSEFOND Universitat Autonoma de Barcelona Ecole Nationale Superieure des Telecom 08193-Bellaterra munications CATALONIA (Spain) Departement Reseaux E-mail: [email protected] 46, rue Barrault Halvard ARNTZEN 75634 Paris Cedex 13 Dept. of Mathematics FRANCE University of Oslo E-mail: [email protected] Box 1053 Blindern Laurent DENIS N-0316 Oslo C.M.I

Stochastic Analysis and Related Topics

Author : H. Körezlioglu
Publisher : Springer Science & Business Media
ISBN 13 : 1461203732
Total Pages : 372 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Stochastic Analysis and Related Topics by : H. Körezlioglu

Download or read book Stochastic Analysis and Related Topics written by H. Körezlioglu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a large spectrum of work: super processes, Dirichlet forms, anticipative stochastic calculus, random fields and Wiener space analysis. The first part of the volume consists of two main lectures given at the third Silivri meeting in 1990: 1. "Infinitely divisible random measures and superprocesses" by D.A. Dawson, 2. "Dirichlet forms on infinite dimensional spaces and appli cations" by M. Rockner. The second part consists of recent research papers all related to Stochastic Analysis, motivated by stochastic partial differ ential equations, Markov fields, the Malliavin calculus and the Feynman path integrals. We would herewith like to thank the ENST for its material support for the above mentioned meeting as well as for the ini tial preparation of this volume and to our friend and colleague Erhan Qmlar whose help and encouragement for the realization of this volume have been essential. H. Korezlioglu A.S. Ustiinel INFINITELY DIVISIBLE RANDOM MEASURES AND SUPERPROCESSES DONALD A. DAWSON 1. Introduction.

Topics in Stochastic Processes

Author : Robert B. Ash
Publisher : Academic Press
ISBN 13 : 1483191435
Total Pages : 332 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Topics in Stochastic Processes by : Robert B. Ash

Download or read book Topics in Stochastic Processes written by Robert B. Ash and published by Academic Press. This book was released on 2014-06-20 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics in Stochastic Processes covers specific processes that have a definite physical interpretation and that explicit numerical results can be obtained. This book contains five chapters and begins with the L2 stochastic processes and the concept of prediction theory. The next chapter discusses the principles of ergodic theorem to real analysis, Markov chains, and information theory. Another chapter deals with the sample function behavior of continuous parameter processes. This chapter also explores the general properties of Martingales and Markov processes, as well as the one-dimensional Brownian motion. The aim of this chapter is to illustrate those concepts and constructions that are basic in any discussion of continuous parameter processes, and to provide insights to more advanced material on Markov processes and potential theory. The final chapter demonstrates the use of theory of continuous parameter processes to develop the Itô stochastic integral. This chapter also provides the solution of stochastic differential equations. This book will be of great value to mathematicians, engineers, and physicists.

Stochastic Analysis and Related Topics

Author : Hayri Korezlioglu
Publisher :
ISBN 13 : 9783662181966
Total Pages : 380 pages
Book Rating : 4.1/5 (819 download)

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Book Synopsis Stochastic Analysis and Related Topics by : Hayri Korezlioglu

Download or read book Stochastic Analysis and Related Topics written by Hayri Korezlioglu and published by . This book was released on with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Analysis and Related Topics

Author : Fabrice Baudoin
Publisher : Birkhäuser
ISBN 13 : 3319596713
Total Pages : 224 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Stochastic Analysis and Related Topics by : Fabrice Baudoin

Download or read book Stochastic Analysis and Related Topics written by Fabrice Baudoin and published by Birkhäuser. This book was released on 2017-10-04 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this collection are a sampling of some of the research presented during the conference “Stochastic Analysis and Related Topics”, held in May of 2015 at Purdue University in honor of the 60th birthday of Rodrigo Bañuelos. A wide variety of topics in probability theory is covered in these proceedings, including heat kernel estimates, Malliavin calculus, rough paths differential equations, Lévy processes, Brownian motion on manifolds, and spin glasses, among other topics.

Stochastic Analysis

Author : Shigeo Kusuoka
Publisher : Springer Nature
ISBN 13 : 9811588643
Total Pages : 218 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Stochastic Analysis by : Shigeo Kusuoka

Download or read book Stochastic Analysis written by Shigeo Kusuoka and published by Springer Nature. This book was released on 2020-10-20 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for university seniors and graduate students majoring in probability theory or mathematical finance. In the first chapter, results in probability theory are reviewed. Then, it follows a discussion of discrete-time martingales, continuous time square integrable martingales (particularly, continuous martingales of continuous paths), stochastic integrations with respect to continuous local martingales, and stochastic differential equations driven by Brownian motions. In the final chapter, applications to mathematical finance are given. The preliminary knowledge needed by the reader is linear algebra and measure theory. Rigorous proofs are provided for theorems, propositions, and lemmas. In this book, the definition of conditional expectations is slightly different than what is usually found in other textbooks. For the Doob–Meyer decomposition theorem, only square integrable submartingales are considered, and only elementary facts of the square integrable functions are used in the proof. In stochastic differential equations, the Euler–Maruyama approximation is used mainly to prove the uniqueness of martingale problems and the smoothness of solutions of stochastic differential equations.

Stochastic Analysis and Related Topics

Author : H. Korezlioglu
Publisher :
ISBN 13 : 9781461203742
Total Pages : 384 pages
Book Rating : 4.2/5 (37 download)

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Book Synopsis Stochastic Analysis and Related Topics by : H. Korezlioglu

Download or read book Stochastic Analysis and Related Topics written by H. Korezlioglu and published by . This book was released on 1993-02-01 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Processes and Related Topics

Author : Jeff Englebert
Publisher : CRC Press
ISBN 13 : 9782884490696
Total Pages : 186 pages
Book Rating : 4.4/5 (96 download)

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Book Synopsis Stochastic Processes and Related Topics by : Jeff Englebert

Download or read book Stochastic Processes and Related Topics written by Jeff Englebert and published by CRC Press. This book was released on 1996-02-09 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume is to make accessible to a greater audience papers given at the 10th Winterschool on Stochastic Processes in Siegmundsburg, Germany, March 1994. The papers include developments in stochastic analysis, applications to finance mathematics, Markov processes and diffusion processes, stochastic differential equations and stochastic partial differential equations.

Stochastic Analysis and Related Topics

Author : Hayri Korezlioglu
Publisher : Springer
ISBN 13 : 354039186X
Total Pages : 384 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Stochastic Analysis and Related Topics by : Hayri Korezlioglu

Download or read book Stochastic Analysis and Related Topics written by Hayri Korezlioglu and published by Springer. This book was released on 2006-11-14 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Silvri Workshop was divided into a short summer school and a working conference, producing lectures and research papers on recent developments in stochastic analysis on Wiener space. The topics treated in the lectures relate to the Malliavin calculus, the Skorohod integral and nonlinear functionals of white noise. Most of the research papers are applications of these subjects. This volume addresses researchers and graduate students in stochastic processes and theoretical physics.

Stochastic Analysis in Discrete and Continuous Settings

Author : Nicolas Privault
Publisher : Springer
ISBN 13 : 3642023800
Total Pages : 322 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Stochastic Analysis in Discrete and Continuous Settings by : Nicolas Privault

Download or read book Stochastic Analysis in Discrete and Continuous Settings written by Nicolas Privault and published by Springer. This book was released on 2009-07-14 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is an introduction to some aspects of stochastic analysis in the framework of normal martingales, in both discrete and continuous time. The text is mostly self-contained, except for Section 5.7 that requires some background in geometry, and should be accessible to graduate students and researchers having already received a basic training in probability. Prereq- sites are mostly limited to a knowledge of measure theory and probability, namely?-algebras,expectations,andconditionalexpectations.Ashortint- duction to stochastic calculus for continuous and jump processes is given in Chapter 2 using normal martingales, whose predictable quadratic variation is the Lebesgue measure. There already exists several books devoted to stochastic analysis for c- tinuous di?usion processes on Gaussian and Wiener spaces, cf. e.g. [51], [63], [65], [72], [83], [84], [92], [128], [134], [143], [146], [147]. The particular f- ture of this text is to simultaneously consider continuous processes and jump processes in the uni?ed framework of normal martingales.

Stochastic Analysis and Related Topics

Author : J.E. Lindstrom
Publisher : CRC Press
ISBN 13 : 9782881249488
Total Pages : 302 pages
Book Rating : 4.2/5 (494 download)

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Book Synopsis Stochastic Analysis and Related Topics by : J.E. Lindstrom

Download or read book Stochastic Analysis and Related Topics written by J.E. Lindstrom and published by CRC Press. This book was released on 1993-12-08 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1993. Routledge is an imprint of Taylor & Francis, an informa company.

Stochastic Analysis and Related Topics V

Author : H. Körezlioglu
Publisher : Springer Science & Business Media
ISBN 13 : 1461224500
Total Pages : 294 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Stochastic Analysis and Related Topics V by : H. Körezlioglu

Download or read book Stochastic Analysis and Related Topics V written by H. Körezlioglu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the contributions of the participants to the Oslo Silivri Workshop on Stochastic Analysis, held in Silivri, from July 18 to July 29, at the Nazlm Terzioglu Graduate Research Center of Istanbul University. 1994, There were three lectures: " Mathematical Theory 0/ Communication Networks by V. Anantharam, " State-Space Models 0/ the Term Structure o/Interest Rates, by D. Duffie, " Theory 0/ Capacity on the Wiener Space, by F. Hirsch. The main lectures are presented at the beginning of the volume. The contributing papers cover different domains varying from random fields to dis tributions on infinite dimensional spaces. We would like to thank the following organizations for their financial sup port: " VISTA, a research cooperation between the Norwegian Academy of Scineces and Letters and Den Norske Stats Oljeselskap A.S. (Statsoil)." Ecole Nationale Superieure des Telecommunications de Paris. In the summer of 1994 we lost our dear friend and colleague ALBERT BADRIKIAN. We are dedicating this volume to his memory. H. Körezlioglu, B. 0ksendal, A.S. Üstünel MATHEMATICAL THEORY OF COMMUNICATION NETWORKS VENKAT ANANTHARAM * EECS DEPARTMENT UNIVERSITY OF CALIFORNIA BERKELEY, CA 94720 [email protected] Abstract We describe so me recent advances in the mathematical theory of com munication networks

Stochastic Analysis and Related Topics VI

Author : Laurent Decreusefond
Publisher :
ISBN 13 : 9781461220237
Total Pages : 428 pages
Book Rating : 4.2/5 (22 download)

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Book Synopsis Stochastic Analysis and Related Topics VI by : Laurent Decreusefond

Download or read book Stochastic Analysis and Related Topics VI written by Laurent Decreusefond and published by . This book was released on 1998-12-01 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Analysis and Related Topics V

Author : H. Korezlioglu
Publisher :
ISBN 13 : 9781461224518
Total Pages : 310 pages
Book Rating : 4.2/5 (245 download)

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Book Synopsis Stochastic Analysis and Related Topics V by : H. Korezlioglu

Download or read book Stochastic Analysis and Related Topics V written by H. Korezlioglu and published by . This book was released on 1996-01-01 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Recent Developments in Stochastic Analysis and Related Topics

Author : Sergio Albeverio
Publisher : World Scientific
ISBN 13 : 9789812702241
Total Pages : 476 pages
Book Rating : 4.7/5 (22 download)

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Book Synopsis Recent Developments in Stochastic Analysis and Related Topics by : Sergio Albeverio

Download or read book Recent Developments in Stochastic Analysis and Related Topics written by Sergio Albeverio and published by World Scientific. This book was released on 2004 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 27 refereed research articles and survey papers written by experts in the field of stochastic analysis and related topics. Most contributors are well known leading mathematicians worldwide and prominent young scientists. The volume reflects a review of the recent developments in stochastic analysis and related topics. It puts in evidence the strong interconnection of stochastic analysis with other areas of mathematics, as well as with applications of mathematics in natural and social economic sciences. The volume also provides some possible future directions for the field. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences."