图书简介
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.
Key Features:
○ Research papers by leading experts
○ Historical account of M Fukushima’s contribution to mathematics
○ Authoritative surveys on the state of the art in the field
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Harvard Library
Professor Fukushima’s Work: The Mathematical Work of Masatoshi Fukushima — An Essay (Zhen-Qing Chen, Niels Jacob, Masayoshi Takeda and Toshihiro Uemura); Bibliography of Masatoshi Fukushima; Contributions: Quasi Regular Dirichlet Forms and the Stochastic Quantization Problem (Sergio Albeverio, Zhi-Ming Ma and Michael Röckner); Comparison of Quenched and Annealed Invariance Principles for Random Conductance Model: Part II (Martin Barlow, Krzysztof Burdzy and Adám Timár); Some Historical Aspects of Error Calculus by Dirichlet Forms (Nicolas Bouleau); Stein’s Method, Malliavin Calculus, Dirichlet Forms and the Fourth Moment Theorem (Louis H Y Chen and Guillaume Poly); Progress on Hardy-Type Inequalities (Mu-Fa Chen); Functional Inequalities for Pure-Jump Dirichlet Forms (Xin Chen, Feng-Yu Wang and Jian Wang); Additive Functionals and Push Forward Measures Under Veretennikov’s Flow (Shizan Fang and Andrey Pilipenko); On a Result of D W Stroock (Patrick J Fitzsimmons); Consistent Risk Measures and a Non-Linear Extension of Backwards Martingale Convergence (Hans Föllmer and Irina Penner); Unavoidable Collections of Balls for Processes with Isotropic Unimodal Green Function (Wolfhard Hansen); Functions of Locally Bounded Variation on Wiener Spaces (Masanori Hino); A Dirichlet Space on Ends of Tree and Superposition of Nodewise Given Dirichlet Forms with Tier Linkage (Hiroshi Kaneko); Dirichlet Forms in Quantum Theory (Witold Karwowski and Ludwig Streit); On a Stability of Heat Kernel Estimates under Generalized Non-Local Feynman-Kac Perturbations for Stable-Like Processes (Daehong Kim and Kazuhiro Kuwae); Martin Boundary for Some Symmetric Lévy Processes (Panki Kim, Renming Song and Zoran Vondraček); Level Statistics of One-Dimensional Schrödinger Operators with Random Decaying Potential (Shinichi Kotani and Fumihiko Nakano); Perturbation of the Loop Measure (Yves Le Jan and Jay Rosen); Regular Subspaces of Dirichlet Forms (Liping Li and Jiangang Ying); Quasi-Regular Semi-Dirichlet Forms and Beyond (Zhi-Ming Ma, Wei Sun and Li-Fei Wang); Large Deviation Estimates for Controlled Semi-Martingales (Hideo Nagai); A Comparison Theorem for Backward SPDEs with Jumps (Bernt Øksendal, Agnès Sulem and Tusheng Zhang); On a Construction of a Space-Time Diffusion Process with Boundary Condition (Yoichi Oshima); Lower Bounded Semi-Dirichlet Forms Associated with Lévy Type Operators (René L Schilling and Jian Wang); Ultracontractivity for Non-Symmetric Markovian Semigroups (Ichiro Shigekawa); Metric Measure Spaces with Variable Ricci Bounds and Couplings of Brownian Motions (Karl-Theodor Sturm); Intrinsic Ultracontractivity and Semi-Small Perturbation for Skew Product Diffusion Operators (Matsuyo Tomisaki).
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