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Masatoshi Fukushima


Masatoshi Fukushima
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Festschrift Masatoshi Fukushima In Honor Of Masatoshi Fukushima S Sanju


Festschrift Masatoshi Fukushima In Honor Of Masatoshi Fukushima S Sanju
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Author : Zhen-qing Chen
language : en
Publisher: World Scientific
Release Date : 2014-11-27

Festschrift Masatoshi Fukushima In Honor Of Masatoshi Fukushima S Sanju written by Zhen-qing Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-27 with Mathematics categories.


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.



Masatoshi Fukushima


Masatoshi Fukushima
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Author : Masatoshi Fukushima
language : en
Publisher: Walter de Gruyter
Release Date : 2010

Masatoshi Fukushima written by Masatoshi Fukushima and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.


Masatoshi Fukushima is one of the most influential probabilists of our times. His fundamental work on Dirichlet forms and Markov processes made Hilbert space methods a tool in stochastic analysis and by this he opened the way to several new developments. His impact on a new generation of probabilists can hardly be overstated. These Selecta collect 25 of Fukushima's seminal articles published between 1967 and 2007.



Dirichlet Forms And Markov Processes


Dirichlet Forms And Markov Processes
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Author : Masatoshi Fukushima
language : en
Publisher: Elsevier Science & Technology
Release Date : 1980

Dirichlet Forms And Markov Processes written by Masatoshi Fukushima and has been published by Elsevier Science & Technology this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Dirichlet forms categories.




Dirichlet Forms And Related Topics


Dirichlet Forms And Related Topics
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Author : Zhen-Qing Chen
language : en
Publisher: Springer Nature
Release Date : 2022-09-04

Dirichlet Forms And Related Topics written by Zhen-Qing Chen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-04 with Mathematics categories.


This conference proceeding contains 27 peer-reviewed invited papers from leading experts as well as young researchers all over the world in the related fields that Professor Fukushima has made important contributions to. These 27 papers cover a wide range of topics in probability theory, ranging from Dirichlet form theory, Markov processes, heat kernel estimates, entropy on Wiener spaces, analysis on fractal spaces, random spanning tree and Poissonian loop ensemble, random Riemannian geometry, SLE, space-time partial differential equations of higher order, infinite particle systems, Dyson model, functional inequalities, branching process, to machine learning and Hermitizable problems for complex matrices. Researchers and graduate students interested in these areas will find this book appealing.



Dirichlet Forms And Symmetric Markov Processes


Dirichlet Forms And Symmetric Markov Processes
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Author : Masatoshi Fukushima
language : en
Publisher: Walter de Gruyter
Release Date : 2011

Dirichlet Forms And Symmetric Markov Processes written by Masatoshi Fukushima and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.


Since the publication of the first edition in 1994, this book has attracted constant interests from readers and is by now regarded as a standard reference for the theory of Dirichlet forms. For the present second edition, the authors not only revise



Dirichlet Forms And Related Topics


Dirichlet Forms And Related Topics
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Author : Zhen-Qing Chen
language : en
Publisher:
Release Date : 2022

Dirichlet Forms And Related Topics written by Zhen-Qing Chen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Markov processes categories.




Symmetric Markov Processes Time Change And Boundary Theory Lms 35


Symmetric Markov Processes Time Change And Boundary Theory Lms 35
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Author : Zhen-Qing Chen
language : en
Publisher: Princeton University Press
Release Date : 2012

Symmetric Markov Processes Time Change And Boundary Theory Lms 35 written by Zhen-Qing Chen and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.


This book gives a comprehensive and self-contained introduction to the theory of symmetric Markov processes and symmetric quasi-regular Dirichlet forms. In a detailed and accessible manner, Zhen-Qing Chen and Masatoshi Fukushima cover the essential elements and applications of the theory of symmetric Markov processes, including recurrence/transience criteria, probabilistic potential theory, additive functional theory, and time change theory. The authors develop the theory in a general framework of symmetric quasi-regular Dirichlet forms in a unified manner with that of regular Dirichlet forms, emphasizing the role of extended Dirichlet spaces and the rich interplay between the probabilistic and analytic aspects of the theory. Chen and Fukushima then address the latest advances in the theory, presented here for the first time in any book. Topics include the characterization of time-changed Markov processes in terms of Douglas integrals and a systematic account of reflected Dirichlet spaces, and the important roles such advances play in the boundary theory of symmetric Markov processes. This volume is an ideal resource for researchers and practitioners, and can also serve as a textbook for advanced graduate students. It includes examples, appendixes, and exercises with solutions.



Stochastic Komatu Loewner Evolutions


Stochastic Komatu Loewner Evolutions
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Author : Zhen-qing Chen
language : en
Publisher: World Scientific
Release Date : 2023-01-11

Stochastic Komatu Loewner Evolutions written by Zhen-qing Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-11 with Mathematics categories.


The present monograph on stochastic Komatu-Loewner evolutions (SKLEs) provides the first systematic extension of the Schramm-Loewner evolution (SLE) theory from a simply connected planar domain to multiply connected domains by using the Brownian motion with darning (BMD) that has arisen in a recent study of the boundary theory of symmetric Markov processes.This volume is presented in an accessible manner for the interested researchers and graduate students. It also brings new insights into SLEs as special cases of SKLEs. Mathematically, it can be viewed as a powerful application of stochastic analysis via BMDs to complex analysis.



Probability Theory And Mathematical Statistics Proceedings Of The 7th Japan Russia Symposium


Probability Theory And Mathematical Statistics Proceedings Of The 7th Japan Russia Symposium
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Author : Shinzo Watanabe
language : en
Publisher: World Scientific
Release Date : 1996-07-29

Probability Theory And Mathematical Statistics Proceedings Of The 7th Japan Russia Symposium written by Shinzo Watanabe and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-29 with categories.


The volume contains 46 papers presented at the Seventh Symposium in Tokyo. They represent the most recent research activity in Japan, Russia, Ukraina, Lithuania, Georgia and some other countries on diverse topics of the traditionally strong fields in these countries — probability theory and mathematical statistics.



It S Stochastic Calculus And Probability Theory


It S Stochastic Calculus And Probability Theory
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Author : Nobuyuki Ikeda
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

It S Stochastic Calculus And Probability Theory written by Nobuyuki Ikeda and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Professor Kiyosi Ito is well known as the creator of the modern theory of stochastic analysis. Although Ito first proposed his theory, now known as Ito's stochastic analysis or Ito's stochastic calculus, about fifty years ago, its value in both pure and applied mathematics is becoming greater and greater. For almost all modern theories at the forefront of probability and related fields, Ito's analysis is indispensable as an essential instrument, and it will remain so in the future. For example, a basic formula, called the Ito formula, is well known and widely used in fields as diverse as physics and economics. This volume contains 27 papers written by world-renowned probability theorists. Their subjects vary widely and they present new results and ideas in the fields where stochastic analysis plays an important role. Also included are several expository articles by well-known experts surveying recent developments. Not only mathematicians but also physicists, biologists, economists and researchers in other fields who are interested in the effectiveness of stochastic theory will find valuable suggestions for their research. In addition, students who are beginning their study and research in stochastic analysis and related fields will find instructive and useful guidance here. This volume is dedicated to Professor Ito on the occasion of his eightieth birthday as a token of deep appreciation for his great achievements and contributions. An introduction to and commentary on the scientific works of Professor Ito are also included.