Festschrift Masatoshi Fukushima: In Honor of Masatoshi Fukushima's Sanju PDF
Preview Festschrift Masatoshi Fukushima: In Honor of Masatoshi Fukushima's Sanju
Festschrift Masatoshi Fukushima In Honor of Masatoshi Fukushima’s Sanju 9129hc_9789814596527_tp.indd 1 10/11/14 8:51 am INTERDISCIPLINARY MATHEMATICAL SCIENCES* Series Editor: Jinqiao Duan (Illinois Institute of Technology, Chicago, USA) Editorial Board: Ludwig Arnold, Roberto Camassa, Peter Constantin, Charles Doering, Paul Fischer, Andrei V. Fursikov, Xiaofan Li, Sergey V. Lototsky, Fred R. McMorris, Daniel Schertzer, Bjorn Schmalfuss, Yuefei Wang, Xiangdong Ye, and Jerzy Zabczyk Published Vol. 10: Ordinal and Relational Clustering (with CD-ROM) Melvin F. Janowitz Vol. 11: Advances in Interdisciplinary Applied Discrete Mathematics eds. Hemanshu Kaul & Henry Martyn Mulder Vol. 12: New Trends in Stochastic Analysis and Related Topics: A Volume in Honour of Professor K D Elworthy eds. Huaizhong Zhao & Aubrey Truman Vol. 13: Stochastic Analysis and Applications to Finance: Essays in Honour of Jia-an Yan eds. 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Zhen-Qing Chen, Niels Jacob, Masayoshi Takeda & Toshihiro Uemura Vol. 18 Global Attractors of Non-Autonomous Dynamical and Control Systems (2nd Edition) by David N Cheban *For the complete list of titles in this series, please go to http://www.worldscientific.com/series/ims RokTing - Festschrift Masatoshi Fukushima.indd 1 6/11/2014 10:10:00 AM Interdisciplinary Mathematical Sciences – Vol. 17 Festschrift Masatoshi Fukushima In Honor of Masatoshi Fukushima’s Sanju Editors Zhen-Qing Chen University of Washington, USA Niels Jacob Swansea University, UK Masayoshi Takeda Tohoku University, Japan Toshihiro Uemura Kansai University, Japan World Scientific NEW JERSEY • LONDON • SINGAPORE • BEIJING • SHANGHAI • HONG KONG • TAIPEI • CHENNAI 9129hc_9789814596527_tp.indd 2 10/11/14 8:52 am Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE Library of Congress Cataloging-in-Publication Data 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). pages cm. -- (Interdisciplinary mathematical sciences ; volume 17) Includes bibliographical references. ISBN 978-9814596527 (hard cover : alk. paper) 1. Mathematical analysis. 2. Stochastic analysis. 3. Probabilities. I. Fukushima, Masatoshi, 1935– II. Chen, Zhen-Qing. III. Jacob, Niels. IV. Takeda, Masayoshi. V. Uemura, Toshihiro. QA371.F38 2014 519.2--dc23 2014034313 British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. Copyright © 2015 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. Printed in Singapore RokTing - Festschrift Masatoshi Fukushima.indd 2 6/11/2014 10:10:00 AM November14,2014 14:35 BC:9129-FestschriftMasatoshiFukushima fuku pagev Preface Compiling a Festschrift and presenting it at a larger international conference is ar- guablythemostpersonalwaytheacademiccommunitycanexpressitsappreciation tooneofitsmembers. Morethanfivedecades, ProfessorMasatoshiFukushimahas contributed to our discipline and is still surprising us with highly original contri- butions and deep insights. He has long been recognised as one of the towering figuresinstochasticanalysiswhohasshaped,andinfactinitiated,theprobabilistic part of the theory of Dirichlet spaces. His scholarship is much admired, as have his mentorship of the younger generation and his contributions to the international mathematical community. The overwhelming and cordial responses we have received when inviting contribu- tions for the Festschrift Masatoshi Fukushima to be published on the occasion of hisSanjuisfurthertestimonyofProfessorFukushima’sstandinginourcommunity. The Festschrift contains 26 articles, some being surveys, some being cutting-edge research contributions, as well as an update of Professor Fukushima’s bibliography published a few years ago in “Selecta Masatoshi Fukushima”. We would like to take the opportunity to thank again all colleagues for their contributions, and in particular for collaborating with us smoothly. We also want to thank those who helped us as referees, and special thanks go to K. Yamazaki, A. Arranz-Carren˜o and K. Evans for their tex-nical support. Further thanks go to Ms. Tan Rok Ting of World Scientific Publishing Co. Pte. Ltd. for her constant and truly generous cooperation and also to the publisher for the uncomplicated collaboration. We consider it as a great honour to present to Professor Fukushima this Festschrift on behalf of his colleagues, students and friends, as a tribute to his mathematical achievements and as gratitude for his friendship. Zhen-Qing Chen (Seattle) Niels Jacob (Swansea) Masayoshi Takeda (Sendai) Toshihiro Uemura (Osaka) v July25,2013 17:28 WSPC-ProceedingsTrimSize:9.75inx6.5in icmp12-master TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk November14,2014 14:35 BC:9129-FestschriftMasatoshiFukushima fuku pagevii Contents Preface v Professor Fukushima’s Work 1 1. The mathematical work of Masatoshi Fukushima - An Essay 3 Zhen-Qing Chen, Niels Jacob, Masayoshi Takeda and Toshihiro Uemura 2. Bibliography of Masatoshi Fukushima 17 Contributions 25 3. Quasi regular Dirichlet forms and the stochastic quantization problem 27 Sergio Albeverio, Zhi-Ming Ma and Michael Ro¨ckner 4. Comparison of quenched and annealed invariance principles for random conductance model: Part II 59 Martin Barlow, Krzysztof Burdzy and Ad´am Tim´ar 5. Some historical aspects of error calculus by Dirichlet forms 85 Nicolas Bouleau 6. Stein’smethod,Malliavincalculus,Dirichletformsandthefourth moment theorem 107 Louis H.Y. Chen and Guillaume Poly vii November14,2014 14:35 BC:9129-FestschriftMasatoshiFukushima fuku pageviii viii Contents 7. Progress on Hardy-type inequalities 131 Mu-Fa Chen 8. Functional inequalities for pure-jump Dirichlet forms 143 Xin Chen, Feng-Yu Wang and Jian Wang 9. Additive functionals and push forward measures under Vereten- nikov’s flow 163 Shizan Fang and Andrey Pilipenko 10. On a result of D.W. Stroock 179 Patrick J. Fitzsimmons 11. Consistentriskmeasuresandanon-linearextensionofbackwards martingale convergence 183 Hans F¨ollmer and Irina Penner 12. Unavoidable collections of balls for processes with isotropic uni- modal Green function 203 Wolfhard Hansen 13. Functions of locally bounded variation on Wiener spaces 219 Masanori Hino 14. A Dirichlet space on ends of tree and superposition of nodewise given Dirichlet forms with tier linkage 237 Hiroshi Kaneko 15. Dirichlet forms in quantum theory 263 Witold Karwowski and Ludwig Streit 16. Onastabilityofheatkernelestimatesundergeneralizednon-local Feynman-Kac perturbations for stable-like processes 287 Daehong Kim and Kazuhiro Kuwae 17. Martin boundary for some symmetric L´evy processes 307 Panki Kim, Renming Song and Zoran Vondraˇcek November14,2014 14:35 BC:9129-FestschriftMasatoshiFukushima fuku pageix Contents ix 18. Level statistics of one-dimensional Schr¨odinger operators with random decaying potential 343 Shinichi Kotani and Fumihiko Nakano 19. Perturbation of the loop measure 375 Yves Le Jan and Jay Rosen 20. Regular subspaces of Dirichlet forms 397 Liping Li and Jiangang Ying 21. Quasi-regular semi-Dirichlet forms and beyond 421 Zhi-Ming Ma, Wei Sun and Li-Fei Wang 22. Large deviation estimates for controlled semi-martingales 453 Hideo Nagai 23. A comparison theorem for backward SPDEs with jumps 479 Bernt Øksendal, Agn`es Sulem and Tusheng Zhang 24. Onaconstructionofaspace-timediffusionprocesswithboundary condition 489 Yoichi Oshima 25. Lower bounded semi-Dirichlet forms associated with L´evy type operators 507 Ren´e L. Schilling and Jian Wang 26. Ultracontractivity for non-symmetric Markovian semigroups 527 Ichiro Shigekawa 27. Metric measure spaces with variable Ricci bounds and couplings of Brownian motions 553 Karl-Theodor Sturm 28. Intrinsic ultracontractivity and semi-small perturbation for skew product diffusion operators 577 Matsuyo Tomisaki
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