Saturday, September 9

MS3
Integrable Discrete and Ultra-discrete Systems and Their Applications - Part I of II

10:30 AM - 12:30 PM
Room: Mary Gates Hall 251

For Part II, see MS10

The study of integrability of discrete and ultra-discrete systems has attracted much attention over the last decade due to their broad applications such as mathematical physics, mathematical biology, numerical analysis and computer science. However, the knowledge of these discrete systems is very limited in compared with that of their continuous counterparts.The aim of this minisymposium is to bring together several researchers to present recent advances in the integrable theory of discrete and ultra-discrete system. It will also provide an opportunity for researchers from different disciplines to familiarize themselves with a variety of interesting problems in this new area.

Organizer: Daisuke Takahashi
Waseda University, Japan
Junta Matsukidaira
Ryukoku University, Japan
Bao-Feng Feng
University of Texas - Pan American

10:30-10:55 Recent Developent of the Study of Discrete and Ultradiscrete Integrable Systems

Junta Matsukidaira, Ryukoku University, Japan

11:00-11:25 Integrable Discretization of Several Integrable Two-dimensional Hamiltonian Systems

Bao-Feng Feng, University of Texas - Pan American; Kenichi Maruno, Kyushu University, Japan

11:30-11:55 Hypergeometric Solutions to the $q$-Painleve II Equation and Their Continuous Limit

Kenji Kajiwara, Kyushu University, Japan

12:00-12:25 Inverse Ultra Discretization and its Applications

Hiroshi Tanaka, Shimane University, Japan