## Basic Information

### Educational Backgrounds

- Tokyo Institute of Technology, Graduate School, Division of Science and Engineering, Applied Physicis, Japan, 1984/04, 1989/03
- Tokyo Institute of Technology, Graduate School, Division of Science and Engineering, Applied Physicis, Japan, 1982/04, 1884/03

### Academic Degrees

- Dr.rer.nat., Ruhr University

### Educational Activity

- 【Bachelor Degree Program】School of Science : Mathematics
- 【Master's Program】Graduate School of Advanced Science and Engineering : Division of Advanced Science and Engineering : Mathematics Program
- 【Doctoral Program】Graduate School of Advanced Science and Engineering : Division of Advanced Science and Engineering : Mathematics Program

### Research Fields

- Mathematical and physical sciences;Mathematics;Basic analysis

### Research Keywords

- modular forms
- Markov property
- random fields
- Stochastic Process

## Educational Activity

### Course in Charge

- 2021, Liberal Arts Education Program1, 1Term, Introductory Seminar for First-Year Students
- 2021, Undergraduate Education, 2Term, Analysis A
- 2021, Undergraduate Education, 2Term, Exercises in Analysis A
- 2021, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
- 2021, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
- 2021, Graduate Education (Master's Program) , First Semester, Seminar in Mathematics
- 2021, Graduate Education (Master's Program) , Second Semester, Seminar in Mathematics
- 2021, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics
- 2021, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics
- 2021, Graduate Education (Master's Program) , First Semester, Seminar of Probability
- 2021, Graduate Education (Master's Program) , Second Semester, Seminar of Probability
- 2021, Graduate Education (Master's Program) , 2Term, Mathematical Omnibus
- 2021, Graduate Education (Master's Program) , Academic Year, Probability Seminar
- 2021, Graduate Education (Master's Program) , Academic Year, Probability Seminar
- 2021, Graduate Education (Master's Program) , 1Term, Probability and Mathematical Statistics A
- 2021, Graduate Education (Master's Program) , 3Term, Topics in Probability and Mathematical Statistics A
- 2021, Graduate Education (Master's Program) , Academic Year, Exercises in Mathematics
- 2021, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics A
- 2021, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics B
- 2021, Graduate Education (Master's Program) , Academic Year, Seminar in Mathematics
- 2021, Graduate Education (Doctoral Program) , Academic Year, Seminar in Mathematics

## Research Activities

### Academic Papers

- Central limit theorem for constrained Poisson systems, BULLETIN DES SCIENCES MATHEMATIQUES, 133(6), 658-669, 20090901
- ★, Random fields as solutions of the inhomogeneous quaternionic Cauchy-Riemann equation. I. Invariance and analytic continuation., Communications in Mathematical Physics, 132(3), 555-580, 19900401
- ★, An infinite-dimensional stochastic differential equation with state space $C(R)$., Probability Theory and Related Fields, 74(1), 141-159, 19870401
- The inverse of a local operator preserves the Markov property., Annali della Scuola Normale Superiore di Pisa, 19(2), 223-253, 19920401
- A convergent lattice approximation for nonlinear electromagnetic fields in four dimensions., Journal of Mathematical Physics, 34(8), 3327-3342, 19930401
- ★, Markov property and cokernels of local operators., Journal of the London Mathematical Society, 56(3), 657-672, 19970401
- On a semigroup of optimal stopping times, Theory of Probability and its Applicatiins, 55(3), 538-538, 20110901
- Reversible measures of a $P(\phi)_1$-time evolution., Probabilistic Methods in Mathematical Physics, 195-209, 19870501
- Moments of Random Fields over a family of Elliptic Curves and Modular Forms., Stochastic processes, physics and geometry II, 52-60, 19950901
- Covariant Markovian random fields in four space-time dimensions with nonlinear electromagnetic interaction., Lecture Notes in Physics, 324, 69-83, 19890901