World Scientific Publishing, 2015. — 618 p. — (Interdisciplinary Mathematical Sciences 17). — ISBN: 9814596523.
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.
The mathematical work of Masatoshi Fukushima - An Essay
Bibliography of Masatoshi Fukushima
Quasi regular Dirichlet forms and the stochastic quantization problem
Comparison of quenched and annealed invariance principles for random conductance model: Part II
Some historical aspects of error calculus by Dirichlet forms
Stein's method, Malliavin calculus, Dirichlet forms and the fourth moment theorem
Progress on Hardy-type inequalities
Functional inequalities for pure-jump Dirichlet forms
Additive functionals and push forward measures under Veretennikov's flow On a result of D.W. Stroock
Consistent risk measures and a non-linear extension of backwards martingale convergence
Unavoidable collections of balls for processes with isotropic unimodal Green function
Functions of locally bounded variation on Wiener spaces
A Dirichlet space on ends of tree and superposition of nodewise given Dirichlet forms with tier linkage
Dirichlet forms in quantum theory
On a stability of heat kernel estimates under generalized non-local Feynman-Kac perturbations for stable-like processes
Martin boundary for some symmetric L evy processes
Level statistics of one-dimensional Schrodinger operators with random decaying potential
Perturbation of the loop measure
Regular subspaces of Dirichlet forms
Quasi-regular semi-Dirichlet forms and beyond
Large deviation estimates for controlled semi-martingales
A comparison theorem for backward SPDEs with jumps
On a construction of a space-time diffusion process with boundary condition
Lower bounded semi-Dirichlet forms associated with L evy type operators
Ultracontractivity for non-symmetric Markovian semigroups
Metric measure spaces with variable Ricci bounds and couplings of Brownian motions
Intrinsic ultracontractivity and semi-small perturbation for skew product diffusion operators