[Japanese]

Spectral Theory of Random Operators and Related Fields in Probability Theory

December 11 (Mon) -- December 15 (Fri), 2006
Auditorium in the basement of Academic Center for Computing and Media Studies (South Bldg.) (for December 11--13),
Board Room on the 2nd floor of Rakuyu Kaikan (for December 14, 15),
Kyoto University

Organizers :: N. Minami (University of Tsukuba, Graduate School of Pure and Applied Science),
S. Nakamura (The University of Tokyo, Graduate School of Mathematical Sciences),
N. Ueki (Kyoto University, Graduate School of Human and Environmental Studies)
Contact: N. Ueki
Confirmed Invited Speakers :: R. Carmona (Princeton University, USA),
D. Damanik (Rice University, USA),
W. Kirsch (Ruhr-Universität Bochum, GERMANY),
A. Klein (University of California, Irvine, USA),
M. Krishna (Institute of Mathematical Sciences, Chennai, INDIA),
L. Pastur (Institute for Low Temperatures, Kharkiv, UKRAINE),
B. Simon (California Institute of Technology, USA)
The list of participants : PDF file

This meeting is supported by Grant-in-Aid for Scientific Research, The Ministry of Education, Sports, Science, Culture and Technology, Japan.

Party

We will hold a reception of the Conference from 18h00 on December 12, Tuesday at Kyodai Kaikan, Room 211. The fee is approximately 5,000 Japanese yen per person. If you would participate in it, please inform to Ueki by December 4, Monday.

Photographs at the party.

Program

December 11, Monday

9:20--10:20 Werner Kirsch (Ruhr-Universität Bochum): Old and new tales about Lifshitz tails (Report:PDF file)
10:40--11:40 Abel Klein (University of California, Irvine): Localization for Schrödinger Operators with Poisson Random Potential (Report:PDF file)
13:40--14:25 Taro Nagao (Nagoya University): Spectral statistics of sample covariance matrices (Report(Japanese))
14:40--15:25 Tomohiro Sasamoto (Chiba University): The asymmetric exclusion process and random matrix theory (Report:PDF file(Japanese))
15:40--16:25 Shinobu Hikami (The University of Tokyo): Correlation functions of vertices in a random matrix theory (Report:PDF file)
16:40--17:25 Shu Nakamura (The University of Tokyo): Singularity of Solutions to Schrödinger equations (Report:PDF file)

December 12, Tuesday

9:20--10:20 Barry Simon (California Institute of Technology): Spectral Theory for Orthogonal Polynomials with Perturbed Periodic Recursion Coefficients (Abstract) (Report)
10:40--11:40 Shin-ichi Kotani (Osaka University): KdV-flow and Floquet exponents (Report:PDF file)
13:40--14:10 Yoshihiko Kitagaki (Kyoto University): Wegner estimates for alloy-type random surface potentials (Report:PDF file)
14:30--15:00 David Damanik (Rice University): Lyapunov exponents of deterministic products of matrices arising in the study of Schrödinger operators (Report:PDF file)
15:20--15:50 Abel Klein (University of California, Irvine): Localization for Random Schrödinger Operators with Singular Continuous Probability Distributions (Report:PDF file)
16:10--16:40 Werner Kirsch (Ruhr-Universität Bochum): Voters and spins - On the mathematics of fair representation (Report:PDF file)
17:00--17:30 Rene Carmona (Princeton University): Convertible Bonds and Swing Contracts as Dynkin Games: A Monte Carlo Approach (Report)
18:00--: < Party >

December 13, Wednesday

9:20--10:20 Rene Carmona (Princeton University): HJM: A Unified Approach to Dynamic Models for Fixed Income, Credit and Equity Markets (Report)
10:40--11:40 David Damanik (Rice University): Recent Applications of Kotani Theory (Report:PDF file)
13:40--14:25 Barry Simon (California Institute of Technology): OPUC with Random Coefficients (Abstract) (Report)
14:40--15:25 Hirofumi Osada (Kyushu University): Interacting Brownian motions related to random matrices (Report:PDF file)
15:40--16:25 Yuji Hamana (Kumamoto University): On the multiple points of random walks (Report:PDF file)
16:40--17:25 Masahiro Kaminaga (Tohoku Gakuin University): The Spectrum of Schrödinger Operators with Poisson Type Random Potential (joint work with Kazunori Ando, Akira Iwatsuka, and Fumihiko Nakano) (Report:PDF file)

December 14, Thursday

9:20--10:05 Takuya Mine (Kyoto Institute of Technology): Schrödinger operators with random δ magnetic fields (Report:PDF file)
10:20--11:40 Leonid Pastur (Institute for Low Temperature, Kharkiv): Asymptotics of Orthogonal Polynomials, Quasiperiodic Jacobi Matrices, and Random Matrices (Abstract) (Report:PDF file)
11:40--: < Free >

December 15, Friday

9:20--10:05 Keiichi R. Ito (Setsunan University): 2 Dimensional O(N) Spin Model and a Localization Type Problem (Report:PDF file)
10:20--11:40 Maddaly Krishna (The Institute of Mathematical Sciences, Chennai): Averages of spectral measures for random operators (Abstract) (Report:PDF file)
13:40--14:25 Keith Slevin (Osaka University): Localisation: A condensed matter physicists view (Report:PDF file)
14:40--15:25 Fumihiko Nakano (Kochi University): The distribution of eigenfunctions in the Anderson model (Report:PDF file)
15:40--16:25 Yuji Nomura (Tokyo Institute of Technology): Spectral structure of the Laplacian on a covering graph (Report:PDF file)
16:40--17:25 Nariyuki Minami (University of Tsukuba): The energy level statistics for the Anderson tight binding model. (Report:PDF file)

Access

For the location of Academic Center for Computing and Media Studies (South Bldg.), Rakuyu Kaikan, and Kyodai Kaikan, see the following campus map of Kyoto University.
http://www.kyoto-u.ac.jp/english/eaccess/e07_acce/map2004_8.pdf
(Academic Center for Computing and Media Studies (South Bldg.), and Rakuyu Kaikan are located in the Yoshida-South Campus, and Kyodai Kaikan is located near to the Faculty of Medicine Campus.)
Some remarks are added in the following map.
http://www.math.h.kyoto-u.ac.jp/~ueki/SR06/map-memo.pdf

Facilities

In the Auditorium in the basement of Academic Center for Computing and Media Studies, 4 wide moving white boards for magic markers and a microphone are already setted, but black boads are not setted.
We will bring projectors for personal computers, overhead projectors for sheets (OHP), and screens.
We will prepare a waiting room on the second floor of Graduate School of Human and Environmental Studies Building. The room number is 222.
In the Board Room on the 2nd floor of Rakuyu Kaikan, one small fixed black boad, one large portable black boad and a microphone are already setted.
We will bring projectors for personal computers, overhead projectors, and screens.
We will prepare a waiting room also on the second floor of Rakuyu Kaikan. However that room is open only from 9 o'clock of 14 to 17 o'clock of 15.

Recent changes

2006/03/31(Fri) Created.
2006/05/08(Mon) Added an invited speaker.
2006/10/18(Wed) Information for the party
2006/11/10(Fri) Added the program
2006/11/29(Wed) Added the facilities and a map
2006/12/16(Sat) Added photographs at the party and the list of participants
2006/12/21(Thu) Added photographs at the party
2007/01/08(Mon)-- Added reports