Stochastic Analysis And Related Topics In Kyoto

Author: Kiyosi Itō
Publisher: Mathematical Soc of Japan
ISBN:
Size: 79.58 MB
Format: PDF, ePub
View: 755

Download Read Online

Stochastic Analysis And Related Topics In Kyoto. This volume is a collection of research and survey papers written by invited lecturers at the RIMS international symposium on stochastic analysis and related topics in celebration of Professor Kiyosi Ito's eighty-eighth birthday. Leading stochastic analysts, including his colleagues and former students, attended the symposium and contributed articles to this collection. Readers will find here many new and exciting developments. The symposium consisted of four sections, which arerepresented in this volume: ''Markov Processes'', ''Mathematical Finance'', ''Malliavin Calculus'', and a special session on ''Perspectives in Stochastic Analysis''. Topics covered include quadratic Wiener functionals, representation of martingales, infinite dimensional hypoelliptic semi-group, Orlicznorm equivalence, noises associated with Harris flows, Ito's construction procedure, Stieltjes exponential, stochastic Newton equation, cubic Schroodinger equations, stochastic porous media equation, homogenization on fractals, risk-sensitive portfolio optimization, least square approximation, and more. The book is suitable for graduate students and research mathematicians interested in probability theory and mathematical finance. Information for our distributors: Published for the MathematicalSociety of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS. All commercial channel discounts apply.

Festschrift Masatoshi Fukushima

Author: Zhen-Qing Chen
Publisher: World Scientific
ISBN: 981459654X
Size: 66.37 MB
Format: PDF
View: 224

Download Read Online

Festschrift Masatoshi Fukushima. This book contains original research papers by leading experts in the fields of probability theory, stochastic analysis, potential theory and mathematical physics. There is also a historical account on Masatoshi Fukushima's contribution to mathematics, as well as authoritative surveys on the state of the art in the field. Contents:Professor Fukushima's Work:The Mathematical Work of Masatoshi Fukushima — An Essay (Zhen-Qing Chen, Niels Jacob, Masayoshi Takeda and Toshihiro Uemura)Bibliography of Masatoshi FukushimaContributions:Quasi Regular Dirichlet Forms and the Stochastic Quantization Problem (Sergio Albeverio, Zhi-Ming Ma and Michael Röckner)Comparison of Quenched and Annealed Invariance Principles for Random Conductance Model: Part II (Martin Barlow, Krzysztof Burdzy and Adám Timár)Some Historical Aspects of Error Calculus by Dirichlet Forms (Nicolas Bouleau)Stein's Method, Malliavin Calculus, Dirichlet Forms and the Fourth Moment Theorem (Louis H Y Chen and Guillaume Poly)Progress on Hardy-Type Inequalities (Mu-Fa Chen)Functional Inequalities for Pure-Jump Dirichlet Forms (Xin Chen, Feng-Yu Wang and Jian Wang)Additive Functionals and Push Forward Measures Under Veretennikov's Flow (Shizan Fang and Andrey Pilipenko)On a Result of D W Stroock (Patrick J Fitzsimmons)Consistent Risk Measures and a Non-Linear Extension of Backwards Martingale Convergence (Hans Föllmer and Irina Penner)Unavoidable Collections of Balls for Processes with Isotropic Unimodal Green Function (Wolfhard Hansen)Functions of Locally Bounded Variation on Wiener Spaces (Masanori Hino)A Dirichlet Space on Ends of Tree and Superposition of Nodewise Given Dirichlet Forms with Tier Linkage (Hiroshi Kaneko)Dirichlet Forms in Quantum Theory (Witold Karwowski and Ludwig Streit)On a Stability of Heat Kernel Estimates under Generalized Non-Local Feynman-Kac Perturbations for Stable-Like Processes (Daehong Kim and Kazuhiro Kuwae)Martin Boundary for Some Symmetric Lévy Processes (Panki Kim, Renming Song and Zoran Vondraček)Level Statistics of One-Dimensional Schrödinger Operators with Random Decaying Potential (Shinichi Kotani and Fumihiko Nakano)Perturbation of the Loop Measure (Yves Le Jan and Jay Rosen)Regular Subspaces of Dirichlet Forms (Liping Li and Jiangang Ying)Quasi-Regular Semi-Dirichlet Forms and Beyond (Zhi-Ming Ma, Wei Sun and Li-Fei Wang)Large Deviation Estimates for Controlled Semi-Martingales (Hideo Nagai)A Comparison Theorem for Backward SPDEs with Jumps (Bernt Øksendal, Agnès Sulem and Tusheng Zhang)On a Construction of a Space-Time Diffusion Process with Boundary Condition (Yoichi Oshima)Lower Bounded Semi-Dirichlet Forms Associated with Lévy Type Operators (René L Schilling and Jian Wang)Ultracontractivity for Non-Symmetric Markovian Semigroups (Ichiro Shigekawa)Metric Measure Spaces with Variable Ricci Bounds and Couplings of Brownian Motions (Karl-Theodor Sturm)Intrinsic Ultracontractivity and Semi-Small Perturbation for Skew Product Diffusion Operators (Matsuyo Tomisaki) Readership: Researchers in probability, stochastic analysis and mathematical physics. Key Features:Research papers by leading expertsHistorical account of M Fukushima's contribution to mathematicsAuthoritative surveys on the state of the art in the fieldKeywords:Probability Theory;Markov Processes;Dirichlet Forms;Potential Theory;Mathematical Physics

Mathematical Methods For Financial Markets

Author: Monique Jeanblanc
Publisher: Springer Science & Business Media
ISBN: 1852333766
Size: 15.91 MB
Format: PDF, Kindle
View: 7068

Download Read Online

Mathematical Methods For Financial Markets. Mathematical finance has grown into a huge area of research which requires a large number of sophisticated mathematical tools. This book simultaneously introduces the financial methodology and the relevant mathematical tools in a style that is mathematically rigorous and yet accessible to practitioners and mathematicians alike. It interlaces financial concepts such as arbitrage opportunities, admissible strategies, contingent claims, option pricing and default risk with the mathematical theory of Brownian motion, diffusion processes, and Lévy processes. The first half of the book is devoted to continuous path processes whereas the second half deals with discontinuous processes. The extensive bibliography comprises a wealth of important references and the author index enables readers quickly to locate where the reference is cited within the book, making this volume an invaluable tool both for students and for those at the forefront of research and practice.

Stochastic Processes And Applications To Mathematical Finance

Author: Jiro Akahori
Publisher: World Scientific
ISBN: 9812704132
Size: 26.16 MB
Format: PDF, ePub, Mobi
View: 4693

Download Read Online

Stochastic Processes And Applications To Mathematical Finance. This volume contains the contributions to a conference that is among the most important meetings in financial mathematics. Serving as a bridge between probabilists in Japan (called the Ito School and known for its highly sophisticated mathematics) and mathematical finance and financial engineering, the conference elicits the very highest quality papers in the field of financial mathematics.

Stochastic Processes And Applications To Mathematical Finance

Author: Jiro Akahori
Publisher: World Scientific
ISBN: 9814476374
Size: 30.72 MB
Format: PDF
View: 6721

Download Read Online

Stochastic Processes And Applications To Mathematical Finance. This volume contains the contributions to a conference that is among the most important meetings in financial mathematics. Serving as a bridge between probabilists in Japan (called the Ito School and known for its highly sophisticated mathematics) and mathematical finance and financial engineering, the conference elicits the very highest quality papers in the field of financial mathematics.

Option Pricing In Incomplete Markets

Author: Yoshio Miyahara
Publisher: World Scientific
ISBN: 1848163479
Size: 25.41 MB
Format: PDF, Mobi
View: 1848

Download Read Online

Option Pricing In Incomplete Markets. This volume offers the reader practical methods to compute the option prices in the incomplete asset markets. The [GLP \& MEMM] pricing models are clearly introduced, and the properties of these models are discussed in great detail. It is shown that the geometric Lvy process (GLP) is a typical example of the incomplete market, and that the MEMM (minimal entropy martingale measure) is an extremely powerful pricing measure. This volume also presents the calibration procedure of the [GLP \& MEMM] model that has been widely used in the application of practical problems.

From Geometry To Quantum Mechanics

Author: Yoshiaki Maeda
Publisher: Springer Science & Business Media
ISBN: 0817645306
Size: 40.99 MB
Format: PDF, ePub
View: 2563

Download Read Online

From Geometry To Quantum Mechanics. * Invited articles in differential geometry and mathematical physics in honor of Hideki Omori * Focus on recent trends and future directions in symplectic and Poisson geometry, global analysis, Lie group theory, quantizations and noncommutative geometry, as well as applications of PDEs and variational methods to geometry * Will appeal to graduate students in mathematics and quantum mechanics; also a reference

Stochastic Analysis

Author: Hiroyuki Matsumoto
Publisher: Cambridge University Press
ISBN: 110714051X
Size: 46.70 MB
Format: PDF, ePub, Docs
View: 6917

Download Read Online

Stochastic Analysis. Developing the Itô calculus and Malliavin calculus in tandem, this book crystallizes modern day stochastic analysis into a single volume.

Stochastic Analysis And Partial Differential Equations

Author: Gui-Qiang Chen
Publisher: American Mathematical Soc.
ISBN: 0821840592
Size: 65.53 MB
Format: PDF, ePub, Docs
View: 6462

Download Read Online

Stochastic Analysis And Partial Differential Equations. This book is a collection of original research papers and expository articles from the scientific program of the 2004-05 Emphasis Year on Stochastic Analysis and Partial Differential Equations at Northwestern University. Many well-known mathematicians attended the events and submitted their contributions for this volume. Topics from stochastic analysis discussed in this volume include stochastic analysis of turbulence, Markov processes, microscopic lattice dynamics, microscopic interacting particle systems, and stochastic analysis on manifolds. Topics from partial differential equations include kinetic equations, hyperbolic conservation laws, Navier-Stokes equations, and Hamilton-Jacobi equations. A variety of methods, such as numerical analysis, homogenization, measure-theoretical analysis, entropy analysis, weak convergence analysis, Fourier analysis, and Ito's calculus, are further developed and applied. All these topics are naturally interrelated and represent a cross-section of the most significant recent advances and current trends and directions in stochastic analysis and partial differential equations. This volume is suitable for researchers and graduate students interested in stochastic analysis, partial differential equations, and related analysis and applications.

New Trends In Stochastic Analysis And Related Topics

Author: Huaizhong Zhao
Publisher: World Scientific
ISBN: 9814360910
Size: 23.80 MB
Format: PDF, ePub, Mobi
View: 4930

Download Read Online

New Trends In Stochastic Analysis And Related Topics. 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.