Seminar at RIMS of Kyoto University

Applications of RG Methods in Mathematical Sciences
21 July 1999 - 23 July 1999

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(Updated: July 20, 2000)

Purpopse of the Seminar

The seminar on Applications of Renormalization Group (RG) Methods in Mathematical Sciences was hold in Res. Inst. Math. Sci. of Kyoto University. More than 83 people attended the seminar, and we had very exciting discussions. Talks covered the following topics :
  1. Applications in Statistical Physics and Particle Physics
  2. Applications in Non-Linear PDE's
  3. Applications in Fluid Mechanics and Dynamical Systems
  4. etc.

Program (July 21-23, 1999)

The lectures given in the seminar were published from RIMS as the lecture notes (RIMS Kookyuroku, No.1134, Feb., 200) . Their contributions in the form of Electric files are linked to the titles of the talks. Underlined titles are linked to their contributions to the lecture notes or to their abstracts (mainly zipped postscript (ps.gz) files). You can see their lectures or abstracts by clicking the titles. The final forms of their contributions are seen in the proceedings.

July 21
9:40-10:40 Y.Oono (Illinoi)
RG and Asymptotic Analysis (I)
11:00-11:50 T.Koike (Keio Univ.), T.Hara (TIT)
Critical Phenomana in Gravitational Collapse
13:00-13:50 K.Takasaki (Kyoto )
Modulations of Non-linear Waves and Whitham Equations [ps.gz] : [ps]
14:00-14:50 T.Mukaida(Saitama M.U.), S.Itoi(Nippon)
R.G. and R.G.Eq., Toward the Universality Classification of Inifinite Order Phase Transitions [ps.gz] : [ps]
15:00-15:50 M.Sisikura (Hiroshima)
Complex Dynamical System and R.G.
16:00-16:50 Y.Higuchi (Showa), T.Sirai (Tokyo Inst. Tech.)
The Spectrum of Magnetic Schroedinger Operator on a Graph [ps.gz] : [ps]
July 22
9:40-10:40 Y.Oono (Illinoi)
RG and Asymptotic Analysis (II)
11:00-11:50 T.Kunihiro (Ryukoku )
R.G. of Wilson type as a Method of the Asymptotic Analysis and Envelope
13:00-13:50 H. Watanabe (Nippon M.U.), T.Hattori (Nagoya), T.Hara (TIT)
Hierarchical Model and (non$-$) triviality of $\phi_{4}^{4}$ [ps.gz] : [ps]
14:00-14:50K.R.Ito(Setsunan), H.Tamura (Kanazawa)
Analysis of The 2D O(N) Spin Model by R.G. [ps.gz] : [ps]
15:00-15:50 K.Aoki(Kanazawa)
Non-Perturbative R.G. in Field Theory
July 23
9:40-10:30 K.Uchiyama (TIT)
Topics in the Fluid Mechanical Limit
10:40-11:30 T. Gotoh (Nagoya Inst. Tech.)
Fluid Turbulence and R.G. [ps.gz] : [ps]
11:40-12:30 Y.Nomura (Tokyo Inst. Tech. )
Topics in Localization Problems
13:30-14:20 M.W.Yoshida (El. & Comm. Univ.)
Construction of Reflection Positive Random Fields (D<4) by Probabilistic Multiple Ingetrals [ps.gz] : [ps]
14:30-15:20 T.Arai(Hokkaido)
Mathematical Theory of QED of a Dirac Particle
15:30-16:20 M.Hirokawa(Okayama)
Boson-Fermion Model

The Second RIMS Symp. on "Appl. RG Methods in Math. Sci. (2001, July)"
The Third RIMS Symp. on "Appl. RG Methods in Math. Sci. (2003, Sept)" 
Prof.K.R.Ito 
Dept.of Math.Phys.
Setsunan University
Ikeda-Naka 17-8
Neyagawa City
572-8508  Osaka 
Japan

email :ito (at) kurims.kyoto-u.ac.jp
      :ito (at) mpg.setsunan.ac.jp
Phone : 81-(0)720-39-9183
Fax   : 81-(0)720-38-6599