Shin'ichi Kotani
Shin'ichi Kotani , also Shin-ichi Kotani , ( Japanese 小 谷 眞 一 , Kotani Shin'ichi ; * 1946 ) is a Japanese mathematician who deals with stochastic problems of partial differential equations.
He received his doctorate from the University of Kyoto in 1976 ( On asymptotic behavior of the spectra of a one-dimensional Hamiltonian with a certain random coefficient ). Kotani has taught at Tokyo University and is a professor at Kwansei Gakuin University .
He deals with the Schrödinger equation in random potentials (with which defects in a solid are modeled). They lead to localization in two dimensions, a phase transition should be present in three dimensions (localization depending on the density of impurities, see Anderson localization ). However, there is no strict mathematical proof.
In addition, he also deals with stochastic questions in financial mathematics.
In 1986 he received the Iyanaga Prize from the Japanese Mathematical Society . In 1990 he was invited speaker at the International Congress of Mathematicians in Kyoto ( Random Schrödinger Operators ).
Web links
- Homepage
- Shin'ichi Kotani in the Mathematics Genealogy Project (English)
Individual evidence
- ↑ Date of birth Encyclopedic Dictionary of Mathematics, MIT Press 1994, Name Register
- ↑ Entry 000007737015 in the Doctoral Dissertation Bibliographic Database of the National Institute of Informatics
| personal data | |
|---|---|
| SURNAME | Kotani, Shin'ichi |
| ALTERNATIVE NAMES | 小 谷 眞 一 (Japanese); Kotani, Shin-ichi |
| BRIEF DESCRIPTION | Japanese mathematician |
| DATE OF BIRTH | 1946 |