Festschrift Masatoshi Fukushima: In Honor of Masatoshi Fukushima's Sanju (Interdisciplinary Mathematical Sciences)

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. Professor Fukushima's work. 1. The mathematical work of Masatoshi Fukushima - an essay / Zhen-Qing Chen ... [et al.] -- 2. Bibliography of Masatoshi Fukushima -- Contributions. 3. Quasi regular Dirichlet forms and the stochastic quantization problem / Sergio Albeverio, Zhi-Ming Ma and Michael Rockner -- 4. Comparison of quenched and annealed invariance principles for random conductance model: part II / Martin Barlow, Krzysztof Burdzy and Adam Timar -- 5. Some historical aspects of error calculus by Dirichlet forms / Nicolas Bouleau -- 6. Stein's method, Malliavin calculus, Dirichlet forms and the fourth moment theorem / Louis H.Y. Chen and Guillaume Poly -- 7. Progress on Hardy-type inequalities / Mu-Fa Chen -- 8. Functional inequalities for pure-jump Dirichlet forms / Xin Chen, Feng-Yu Wang and Jian Wang -- 9. Additive functionals and push forward measures under Veretennikov's flow / Shizan Fang and Andrey Pilipenko -- 10. On a result of D.W. Stroock / Patrick J. Fitzsimmons -- 11. Consistent risk measures and a non-linear extension of backwards martingale convergence / Hans Follmer and Irina Penner -- 12. Unavoidable collections of balls for processes with isotropic unimodal Green function / Wolfhard Hansen -- 13. Functions of locally bounded variation on Wiener spaces / Masanori Hino -- 14. A Dirichlet space on ends of tree and superposition of nodewise given Dirichlet forms with tier linkage / Hiroshi Kaneko -- 15. Dirichlet forms in quantum theory / Witold Karwowski and Ludwig Streit -- 16. On a stability of heat kernel estimates under generalized non-local Feynman-Kac perturbations for stable-like processes / Daehong Kim and Kazuhiro Kuwae -- 17. Martin boundary for some symmetric Levy processes / Panki Kim, Renming Song and Zoran Vondracek -- 18. Level statistics of one-dimensional Schrodinger operators with random decaying potential / Shinichi Kotani and Fumihiko Nakano -- 19. Perturbation of the loop measure / Yves Le Jan and Jay Rosen -- 20. Regular subspaces of Dirichlet forms / Liping Li and Jiangang Ying -- 21. Quasi-regular semi-Dirichlet forms and beyond / Zhi-Ming Ma, Wei Sun and Li-Fei Wang -- 22. Large deviation estimates for controlled semi-martingales / Hideo Nagai -- 23. A comparison theorem for backward SPDEs with jumps / Bernt Oksendal, Agnes Sulem and Tusheng Zhang -- 24. On a construction of a space-time diffusion process with boundary condition / Yoichi Oshima -- 25. Lower bounded semi-Dirichlet forms associated with Levy type operators / Rene L. Schilling and Jian Wang -- 26. Ultracontractivity for non-symmetric Markovian semigroups / Ichiro Shigekawa -- 27. Metric measure spaces with variable Ricci bounds and couplings of Brownian motions / Karl-Theodor Sturm -- 28. Intrinsic ultracontractivity and semi-small perturbation for skew product diffusion operators / Matsuyo Tomisaki