No.1424

Recent Trends in Exponential Asymptotics

2004/06/28～2004/07/02

竹井　義次

Yoshitsugu　Takei　

目　次

1. When is a Stokes Line not a Stokes Line? : I. The Higher Order Stokes Phenomenon (Recent Trends in Exponential Asymptotics)-------1

　　　　University of Southampton　　　Howls, C.J.

2. When is a Stokes Line not a Stokes Line? : II. Examples involving differential equations (Recent Trends in Exponential Asymptotics)---17

　　　　University of Southampton　　　Howls, C.J.

3. When is a Stokes Line not a Stokes Line? : III. Real Consequences of the Higher Order Stokes Phenomenon (Recent Trends in Exponential Asymptotics)---35

　　　　University of Southampton　　　Howls, C.J.

4. A background story and some know-how of virtual turning points (Recent Trends in Exponential Asymptotics)------------------------53

　　　　近畿大学理工学部 / 京都大学数理解析研究所 / 京都大学理学研究科 / 京都大学数理解析研究所 / 東京都立大学理学研究科 / 京都大学数理解析研究所　　　青木貴史 / 河合隆裕 / 小池達也 / 佐々木俊介 / 首藤啓 / 竹井義次　(Aoki, Takashi / Kawai, Takahiro / Koike, Tatsuya / Sasaki, Shunsuke / Shudo, Akira / Takei, Yoshitsugu)

5. Quantum Mechanics Based on Non-Hermitian Hamiltonians (Recent Trends in Exponential Asymptotics)---------------------------------64

　　　　Blackett Laboratory, Imperial College　　　Bender, Carl M.

6. SINGULARITY BARRIERS AND BOREL PLANE ANALYTIC PROPERTIES OF $1^+$ DIFFERENCE EQUATIONS (Recent Trends in Exponential Asymptotics)---78

　　　　Rutgers Univ.　　　Costin, O.

7. Deformation of the Schrodinger equation and exact asymptotic analysis (Recent Trends in Exponential Asymptotics)-----------------86

　　　　Department de Mathematiques, UMR CNRS 6093, Universite d'Angers / Department de Mathematiques, UMR CNRS 6093, Universite d'Angers　　　Delabaere, Eric / Rasoamanana, Jean-Marc

8. Aspects of the ODE/IM correspondence (Recent Trends in Exponential Asymptotics)-------------------------------------------------103

　　　　Department of Mathematical Sciences, University of Durham / Centre of Mathematical Physics, School of Physical Sciences, The University of Queensland / Dipartimento di Fisica Teorica e sezione INFN, Universita di Torino　　　Dorey, Patrick / Dunning, Clare / Tateo, Roberto

9. Exact WKB solutions at a regular singular point for 2×2 systems (Recent Trends in Exponential Asymptotics)---------------------118

　　　　東北大学理学研究科数学専攻　　　藤家雪朗　(Fujiie, Setsuro)

10. Borel Summability of Divergent Solutions for Singular 1st Order Linear PDEs of Nilpotent Type (Recent Trends in Exponential Asymptotics)---128

　　　　名城大学理工学部数学科　　　日比野正樹　(Hibino, Masaki)

11. On the Structure of integral kernel for the Borel sum (Recent Trends in Exponential Asymptotics)-------------------------------142

　　　　名古屋大学多元数理科学研究科　　　市延邦夫　(Ichinobe, Kunio)

12. ASYMPTOTICS FOR EXTENDED CELLULAR AUTOMATA (Recent Trends in Exponential Asymptotics)------------------------------------------156

　　　　School of Mathematics and Statistics F07, University of Sydney　　　Joshi, N.

13. On the exact WKB analysis for the fourth Painleve hierarchy (Recent Trends in Exponential Asymptotics)-------------------------160

　　　　京都大学理学研究科 / 日立製作所　　　小池達也 / 西川享宏　(Koike, Tatsuya / Nishikawa, Yukihiro)

14. LEVEL ONE HYPERASYMPTOTICS FOR THE FIRST PAINLEVE EQUATION (Recent Trends in Exponential Asymptotics)--------------------------170

　　　　School of Mathematics, King's Buildings, University of Edinburgh　　　Daalhuis, A.B. Olde