Title Festschrift Masatoshi Fukushima : in honor of Masatoshi Fukushima's Sanju / edited by Zhen-Qing Chen (University of Washington, USA), Niels Jacob (Swansea University, UK), Masayoshi Takeda (Tohoku University, Japan), Toshihiro Uemura (Kansai University, Japan).

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New Jersey : World Scientific, 2014.

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Description	1 online resource.
Physical Medium	polychrome
Description	text file
Series	Interdisciplinary mathematical sciences ; volume 17
	Interdisciplinary mathematical sciences ; volume 17.
Bibliography	Includes bibliographical references.
Contents	""Contents""; ""Preface""; ""Professor Fukushima's Work""; ""1. The mathematical work of Masatoshi Fukushima -- An Essay""; ""References""; ""Further References""; ""2. Bibliography of Masatoshi Fukushima""; ""Expository Writing""; ""Seminar on Probability (in Japanese)""; ""Monographs and Textbooks""; ""Contributions""; ""3. Quasi regular Dirichlet forms and the stochastic quantization problem""; ""1. Introduction""; ""2. Symmetric quasi regular Dirichlet forms""; ""3. Classical Dirichlet forms on Banach spaces and weak solutions to SDE""
	""4. Applications to stochastic quantization in finite and infinite volume""""4.1. Finite volume""; ""4.2. Infinite volume""; ""4.3. Ergodicity""; ""4.4. Additional remarks""; ""5. Further developments""; ""6. Acknowledgements""; ""References""; ""4. Comparison of quenched and annealed invariance principles for random conductance model: Part II""; ""1. Introduction""; ""2. Description of the environment""; ""3. Preliminary results""; ""4. Estimates on the process Xn,2""; ""5. Acknowledgements""; ""References""; ""5. Some historical aspects of error calculus by Dirichlet forms""
	""1. Introduction""""2. Gauss inventor of the carre du champ operator?""; ""3. Why should we ask the quadratic form to be closed?""; ""4. Dirichlet form generated by an approximation""; ""5. ""Small errors"" what does it mean?""; ""6. Trails of research""; ""References""; ""6. Stein's method, Malliavin calculus, Dirichlet forms and the fourth moment theorem""; ""1. Introduction""; ""2. Stein's method""; ""2.1. How it began""; ""2.2. A general framework""; ""2.3. Normal approximation""; ""3. Malliavin calculus""; ""3.1. A brief history""; ""3.2. Malliavin derivatives""
	""3.3. Wiener chaos and multiple integrals""""3.4. Main properties of Malliavin operators""; ""4. Connecting Stein's method with Malliavin calculus""; ""5. The Nualart-Peccati criterion of the fourth moment and Ledoux's idea""; ""5.1. Some history""; ""5.2. Overview of the proof of Nourdin and Peccati""; ""5.3. About Ledoux's generalization""; ""6. The general fourth moment Theorem for Dirichlet forms""; ""6.1. The Dirichlet structures""; ""6.2. Fourth moment theorem for Dirichlet structures with (H1) and (H2)""; ""6.3. Dirichlet structures with (H1) and (H2)""; ""7. Acknowledgments""
Local Note	eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject	Mathematical analysis.
	Mathematical analysis.
	Stochastic analysis.
	Stochastic analysis.
	Probabilities.
	Probabilities.
Genre/Form	Electronic books.
	Electronic books.
	Festschriften.
	Festschriften.
Added Author	Fukushima, Masatoshi, 1935-
	Chen, Zhen-Qing.
	Jacob, Niels.
	Takeda, Masayoshi.
	Uemura, Toshihiro.
Other Form:	Print version: Festschrift Masatoshi Fukushima 9789814596527 (DLC) 2014034313 (OCoLC)890127899
ISBN	9789814596534 electronic book
	9814596531 electronic book
	9789814596527
	9814596523

Title Festschrift Masatoshi Fukushima : in honor of Masatoshi Fukushima's Sanju / edited by Zhen-Qing Chen (University of Washington, USA), Niels Jacob (Swansea University, UK), Masayoshi Takeda (Tohoku University, Japan), Toshihiro Uemura (Kansai University, Japan).

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