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Festschrift Masatoshi Fukushima : in honor of Masatoshi Fukushima's Sanju /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Fukushima, Masatoshi, 1935-, Chen, Zhen-Qing, Jacob, Niels, Takeda, Masayoshi, Uemura, Toshihiro
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New Jersey : World Scientific, 2014.
Colección:Interdisciplinary mathematical sciences ; volume 17
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Festschrift Masatoshi Fukushima :  |b in honor of Masatoshi Fukushima's Sanju /  |c edited by Zhen-Qing Chen (University of Washington, USA), Niels Jacob (Swansea University, UK), Masayoshi Takeda (Tohoku University, Japan), Toshihiro Uemura (Kansai University, Japan). 
264 1 |a New Jersey :  |b World Scientific,  |c 2014. 
300 |a 1 online resource 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 0 |a Interdisciplinary mathematical sciences ;  |v volume 17 
504 |a Includes bibliographical references. 
588 0 |a Print version record. 
505 0 |a 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 
505 8 |a 4. Applications to stochastic quantization in finite and infinite volume4.1. 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 
505 8 |a 1. Introduction2. 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 
505 8 |a 3.3. Wiener chaos and multiple integrals3.4. 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 
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650 0 |a Probabilities. 
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650 6 |a Analyse stochastique. 
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655 7 |a Festschriften  |2 fast 
655 7 |a Festschriften.  |2 lcgft 
700 1 |a Fukushima, Masatoshi,  |d 1935- 
700 1 |a Chen, Zhen-Qing. 
700 1 |a Jacob, Niels. 
700 1 |a Takeda, Masayoshi. 
700 1 |a Uemura, Toshihiro. 
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