Festschrift Masatoshi Fukushima : in honor of Masatoshi Fukushima's Sanju / edited by Zhen-Qing Chen (University of Washington, USA) [and three others].

Format:

Book

Contributor:

Fukushima, Masatoshi, 1935- honouree.

Chen, Zhen-Qing, editor.

Series:

Interdisciplinary mathematical sciences ; v. 17.

Interdisciplinary mathematical sciences ; volume 17

Language:

English

Subjects (All):

Mathematical analysis.

Stochastic analysis.

Probabilities.

Physical Description:

1 online resource (618 p.)

Place of Publication:

New Jersey : World Scientific, [2015]

Language Note:

English

Summary:

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.

Contents:

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

Description based on print version record.

ISBN:

981-4596-53-1

OCLC:

903973859