New Development of Asymptotic Analysis
and Dynamical Systems

Announcement

Last Modified :14:00 June 1, 2009
Date: 2009, June 15(Mon) - June 19(Fri.)
Place:RIMS Kyoto University, Room Number 115

Contact:

Masafumi Yoshino: Hiroshima University, Tel.: 082- 424 - 7345,
e-mail : yoshinom@hiroshima
Hidekazu Ito: Kanazawa University, Tel.: 076-264-5983,
e-mail : hideito@kanazawa
Please add "-u.ac.jp" in the end of the e-mail address.


Program and Abstract

General Informations:
program and abstract (pdf download)


June 15(Monday)

13:30 -- 14:30
OOUCHI, Sunao (Sophia University)
Multisummability of solutions of formal power series of differential equations I

14:45 -- 15:45
YAMAZAWA, Hiroshi (Caritas University)
On construction of true solution with logarithm term and multisummability
for some linear partial differential equations

16:00 -- 17:00
MIYAKE, Masatake (Nagoya University)
Newton polygon and Gevrey hierarchy in index formulas of a singular system
of ODOps on formal Gevrey spaces

June 16 (Tuesday)

9:45 -- 10:45
YOSHINO, Masafumi (Hiroshima University)
Resummation and analytic continuation of an asymptotic solution
of a small denominator problem

11:00 -- 12:00
OOUCHI, Sunao (Sophia University)
Multisummability of solutions of formal power series of differential equations II

13:30 -- 14:30
CHIBA, Hayato (Kyoto University)
Fast-slow systems with codimension 2 fold points

14:45 -- 15:45
MATSUOKA, Chihiro (Ehime University)
Borel-Laplace transform of a difference equation associated with Henon maps
(joint work with HIRAIDE, Koichi)

16:00 -- 17:00
ITO, Hidekazu (Kanazawa University)
Generalized action-angle coordinates near singularities of superintegrable systems

18:00 --
banquet

June 17 (Wednesday)

10:00 -- 11:00
COSTIN, Ovidiu (Ohio State University)
Behavior of lacunary series at the natural boundary
(joint work with M. Huang)

11:15 -- 12:15
COSTIN, Rodica D.(Ohio State University)
Differential systems with Fuchsian linear part:
correction and linearization, normal forms and matrix valued orthogonal polynomials

free time in the afternoon

June 18 (Thursday)

9:45 -- 10:45
COSTIN, Ovidiu (Ohio State University)
The one-dimensional Schr\"odinger equation for potential wells and barriers.
Borel summation and Gamow vectors.
(joint work with M. Huang)

11:00 -- 12:00
SHUDO, Akira (Tokyo Metropolitan University)
Role of natural boundaries of KAM curves in dynamical tunneling problems

13:30 -- 14:30
KAMIMOTO, Shingo ( University of Tokyo)
On a Schr\"odinger operator with a merging pair of a simple pole
and a simple turning point, I
--- WKB theoretic transformation to the canonical form

14:45-- 15:45
KOIKE, Tatsuya (Kobe University)
On a Schr\"odinger operator with a merging pair of a simple pole
and a simple turning point, II
--- Computation of Voros coefficients and its consequence

16:00 -- 17:00
UMETA, Youko (Hokkaido University)
Multiple-scale analysis for the first Painlev\'e hierarchy
(joint work with Takashi Aoki and Naofumi Honda)

June 19 (Friday)

9:30 -- 10:30
TAKAHASHI, Kinya (Kyushu Institute Technology )
Semiclassical analysis of multi-dimensional barrier tunneling

10:40 -- 11:40
SASAKI, Shinji (RIMS Kyoto University)
On the classification of Stokes graphs for second order Fuchsian-type equations

11:50 -- 12:50
TAKEI, Yoshitsugu (RIMS Kyoto University)
Summability of formal solutions of PDEs and the geometry of Stokes curves

free discussion in the afternoon

This workshop is supported by RIMS Kyoto University
and partially supported by Yoshitsugu Takei (RIMS Kyoto Univeristy, Grant-in-Aid
for Scientific Research, No. 21340029)
and Masafumi Yoshino (Hiroshima Univ. Grant-in-Aid for Scientific Research, No. 20540172).