Festschrift Masatoshi Fukushima :: in honor of Masatoshi Fukushima's Sanju /
Gespeichert in:
| Weitere Verfasser: | , , , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New Jersey :
World Scientific,
2014.
|
| Schriftenreihe: | Interdisciplinary mathematical sciences ;
volume 17 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9789814596534 9814596531 |
Internformat
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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 | ||
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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 | |
| 650 | 0 | |a Mathematical analysis. |0 http://id.loc.gov/authorities/subjects/sh85082116 | |
| 650 | 0 | |a Stochastic analysis. |0 http://id.loc.gov/authorities/subjects/sh85128175 | |
| 650 | 0 | |a Probabilities. |0 http://id.loc.gov/authorities/subjects/sh85107090 | |
| 650 | 2 | |a Probability |0 https://id.nlm.nih.gov/mesh/D011336 | |
| 650 | 6 | |a Analyse mathématique. | |
| 650 | 6 | |a Analyse stochastique. | |
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| 650 | 7 | |a MATHEMATICS |x Applied. |2 bisacsh | |
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| 700 | 1 | |a Fukushima, Masatoshi, |d 1935- |1 https://id.oclc.org/worldcat/entity/E39PCjDHdC4byKxx48XVkPg64y |0 http://id.loc.gov/authorities/names/n79148442 | |
| 700 | 1 | |a Chen, Zhen-Qing. | |
| 700 | 1 | |a Jacob, Niels. | |
| 700 | 1 | |a Takeda, Masayoshi. | |
| 700 | 1 | |a Uemura, Toshihiro. | |
| 758 | |i has work: |a Festschrift Masatoshi Fukushima (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGCCx3RdFC63PBYrFdgCpK |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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| author2 | Fukushima, Masatoshi, 1935- Chen, Zhen-Qing Jacob, Niels Takeda, Masayoshi Uemura, Toshihiro |
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| author_sort | Fukushima, Masatoshi, 1935- |
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| 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 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 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 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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| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| indexdate | 2024-11-27T13:26:26Z |
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| isbn | 9789814596534 9814596531 |
| language | English |
| oclc_num | 900633168 |
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| record_format | marc |
| series2 | Interdisciplinary mathematical sciences ; |
| spelling | 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). New Jersey : World Scientific, 2014. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier Interdisciplinary mathematical sciences ; volume 17 Includes bibliographical references. Print version record. 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 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 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 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 Mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082116 Stochastic analysis. http://id.loc.gov/authorities/subjects/sh85128175 Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Probability https://id.nlm.nih.gov/mesh/D011336 Analyse mathématique. Analyse stochastique. Probabilités. probability. aat MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Mathematical analysis fast Probabilities fast Stochastic analysis fast Festschriften fast Festschriften. lcgft http://id.loc.gov/authorities/genreForms/gf2016026082 Fukushima, Masatoshi, 1935- https://id.oclc.org/worldcat/entity/E39PCjDHdC4byKxx48XVkPg64y http://id.loc.gov/authorities/names/n79148442 Chen, Zhen-Qing. Jacob, Niels. Takeda, Masayoshi. Uemura, Toshihiro. has work: Festschrift Masatoshi Fukushima (Text) https://id.oclc.org/worldcat/entity/E39PCGCCx3RdFC63PBYrFdgCpK https://id.oclc.org/worldcat/ontology/hasWork Print version: Festschrift Masatoshi Fukushima 9789814596527 (DLC) 2014034313 (OCoLC)890127899 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=942148 Volltext |
| spellingShingle | Festschrift Masatoshi Fukushima : in honor of Masatoshi Fukushima's Sanju / 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 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 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 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 Mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082116 Stochastic analysis. http://id.loc.gov/authorities/subjects/sh85128175 Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Probability https://id.nlm.nih.gov/mesh/D011336 Analyse mathématique. Analyse stochastique. Probabilités. probability. aat MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Mathematical analysis fast Probabilities fast Stochastic analysis fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082116 http://id.loc.gov/authorities/subjects/sh85128175 http://id.loc.gov/authorities/subjects/sh85107090 https://id.nlm.nih.gov/mesh/D011336 http://id.loc.gov/authorities/genreForms/gf2016026082 |
| title | Festschrift Masatoshi Fukushima : in honor of Masatoshi Fukushima's Sanju / |
| title_auth | Festschrift Masatoshi Fukushima : in honor of Masatoshi Fukushima's Sanju / |
| title_exact_search | Festschrift Masatoshi Fukushima : in honor of Masatoshi Fukushima's Sanju / |
| title_full | 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). |
| title_fullStr | 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). |
| title_full_unstemmed | 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). |
| title_short | Festschrift Masatoshi Fukushima : |
| title_sort | festschrift masatoshi fukushima in honor of masatoshi fukushima s sanju |
| title_sub | in honor of Masatoshi Fukushima's Sanju / |
| topic | Mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082116 Stochastic analysis. http://id.loc.gov/authorities/subjects/sh85128175 Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Probability https://id.nlm.nih.gov/mesh/D011336 Analyse mathématique. Analyse stochastique. Probabilités. probability. aat MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Mathematical analysis fast Probabilities fast Stochastic analysis fast |
| topic_facet | Mathematical analysis. Stochastic analysis. Probabilities. Probability Analyse mathématique. Analyse stochastique. Probabilités. probability. MATHEMATICS Applied. MATHEMATICS Probability & Statistics General. Mathematical analysis Probabilities Stochastic analysis Festschriften Festschriften. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=942148 |
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