No.1275
繰り込み群の数理科学での応用
Applications of Renormalization Group Methods in Mathematical Sciences
研究集会報告集
 
2001/07/25〜2001/07/27
伊東 恵一
Keiichi R. Ito
 
目 次
 
1. Renormalization Group Pathologies, Gibbs states and disordered systems (Applications of Renormalization Group Methods in Mathematical Sciences)---1
    //京都大学理学研究科   Bricmont,J./Kupiainen,A./Lefevere,R.
 
2. Toward a mathematical theory of renormalization (Applications of Renormalization Group Methods in Mathematical Sciences)---------18
    Zentrum Mathematik, Technische Universitat Munchen   Lorinczi,Jozsef
 
3. Renormalization Group Flow of Two-Dimensional $O(N)$ Spin Model (Applications of Renormalization Group Methods in Mathematical Sciences)---31
    摂南大学工学部   伊東 恵一 (Ito,Keiichi R.)
 
4. Renormalization Group Flow of the Hierarchical Two-Dimensional Coulomb Gas (Applications of Renormalization Group Methods in Mathematical Sciences)---42
    Instituto de Fisica, Universidade de Sao Paulo/Instituto de Fisica, Universidade de Sao Paulo   Guidi,Leonardo F./Marchetti,Domingos H.U.
 
5. Scaling Limit of Relativistic Quantum Electrodynamics with Cutoffs (Applications of Renormalization Group Methods in Mathematical Sciences)---57
    北海道大学理学研究科   新井 朝雄 (Arai,Asao)
 
6. Wegner Estimate for Indefinite Anderson Potentials : Some Recent Results and Applications (Applications of Renormalization Group Methods in Mathematical Sciences)---65
    Fraunhofer-Institut fur Lasertechnik/Fakultat fur Mathematik, Ruhr-Universitat Bochum   Kostrykin,Vadim/Veselic,Ivan
 
7. Two-fold ground states of the Pauli-Fierz Hamiltonian including spin (Applications of Renormalization Group Methods in Mathematical Sciences)---85
    摂南大学工学部   広島 文生 (Hiroshima,Fumio)
 
8. $H-C^1$ maps and elliptic SPDEs with non-linear local perturbations of Nelson's Euclidean free field (Applications of Renormalization Group Methods in Mathematical Sciences)---97
    /電気通信大学   /吉田 稔 (Albeverio,Sergio/Yoshida,Minoru W.)
 
9. A family of processes interpolating the Brownian motion and the self-avoiding process on the Sierpinski gasket and $\mathbb{R}$ (Applications of Renormalization Group Methods in Mathematical Sciences)---112
    /信州大学理学部/名古屋大学理学部   /服部 久美子/服部 哲弥 (Hambly,Ben/Hattori,Kumiko/Hattori,Tetsuya)
 
10. The spectrum of the infinitely extended Sierpinski lattice (Applications of Renormalization Group Methods in Mathematical Sciences)---119
    東京工業大学理工学研究科   白井 朋之 (Shirai,Tomoyuki)
 
11. RENORMALIZATION IN COMPLEX DYNAMICS (Applications of Renormalization Group Methods in Mathematical Sciences)-------------------126
    京都大学理学研究科   宍倉 光広 (Shishikura,Mitsuhiro)
 
12. 微分方程式における繰り込み群の方法 (繰り込み群の数理科学での応用)--------------------------------------------------------------127
    京都大学情報学研究科数理工学専攻   山口 義幸 (Yamaguchi,Y. Yoshiyuki)
 
13. Application of Renormalization Group Method to Kinetic Equations : roles of initial condition (Applications of Renormalization Group Methods in Mathematical Sciences)---141
    京都大学理学研究科/京都大学基礎物理学研究所   八田 佳孝/国広 悌二 (Hatta,Yoshitaka/Kunihiro,Teiji)
 
14. Holographic Renormalization Group (Applications of Renormalization Group Methods in Mathematical Sciences)---------------------155
    京都大学基礎物理学研究所/京都大学基礎物理学研究所/京都大学基礎物理学研究所   福間 将文/松浦 壮/酒井 忠勝 (Fukuma,Masafumi/Matsuura,So/Sakai,Tadakatsu)
 
15. Renormalization Group Methods to Solve Dynamical Chiral Symmetry Breaking (Applications of Renormalization Group Methods in Mathematical Sciences)---171
    金沢大学理学部   青木 健一 (Aoki,Ken-Ichi)
 
16. Universal natures and rich structures in infinite-order phase transitions (Applications of Renormalization Group Methods in Mathematical Sciences)---175
    日本大学理工学部   糸井 千岳 (Itoi,Chigak)
 
17. O(n)ループモデルと密度行列繰り込み群 (繰り込み群の数理科学での応用)------------------------------------------------------------179
    龍谷大学理工学部数理情報学科   樋口 三郎 (Higuchi,Saburo)
 
18. 密度行列繰り込み群 (繰り込み群の数理科学での応用)------------------------------------------------------------------------------182
    神戸大学理学部   西野 友年 (Nishino,Tomotoshi)
 
19. Triviality of hierarchical Ising model in four dimensions (Applications of Renormalization Group Methods in Mathematical Sciences)---193
    日本医科大学   渡辺 浩 (Watanabe,Hiroshi)
 
20. Transition of Ground State of Boson-Fermion Model and Renormalizable Field Theory (Applications of Renormalization Group Methods in Mathematical Sciences)---206
    岡山大学理学部   広川 真男 (Hirokawa,Masao)