Program Committee:
JungChao Ban (NCCU), ChiHin Chan (NCTU), LongChi Chern (NCCU), ChunHsiung Hsia (NTU, committee chair),
ChunYen Shen (NTU), KunChien Wu (NCKU).
Description of program:
The study of differential equations is one of the most traditional fields of mathematics in Taiwan. The NCTS Topical Program Differential Equations and Stochastic Analysis also aims to incorporate interdisciplinary research as one of its priorities, and its four main directions are: partial differential equations, dynamical systems, stochastic analysis and harmonic analysis. Partial differential equations are one of the most widely adopted mathematical tools in modern sciences. Members of this NCTS Topical Program group are interested in both the developments of the mathematical theory and scientific applications. This includes, for example, synchronization problem, kinetic theory, elliptic partial differential equations, fluid dynamics, inverse problem and reactiondiffusion equations. Interests of the research groups in dynamical systems include bifurcation theory and chaotic systems, ergodic theory, fractal geometry, arithmetic dynamical systems, and complex dynamical systems. The research interests of Harmonic analysis group include two weights problems for singular integrals, additive combinatorics and their connections to geometric measure theory. Probability theory also plays an important role in many other areas of mathematics, such as partial differential equations, analysis, and combinatorics. It provides the theoretical basis for statistics. In stochastic analysis at the NCTS, focus is placed on statistical mechanics, mathematical biology, finance, theoretical computer science, branching processes and SPDE.
Affiliated members:
Differential equations:
ChiHin Chan (NCTU), ChiunChuan Chen (NTU), IKun Chen (NTU), ZhiYou Chen (NCUE),
ChingHsiao Cheng (NCU), JannLong Chern (NTNU), JongShenq Guo (TKU), ChunHsiung Hsia (NTU),
HsinYuan Huang (NCTU), HungWen Kuo (NCKU), DongHo Tsai (NTHU), JennNan Wang (NTU),
KunChien Wu (NCKU)
Dynamical systems:
JungChao Ban (NCCU), ChihHung Chang (NUK), KuoChang Chen (NTHU), ChengHsiung Hsu (NCU)
Probability:
GuanYu Chen (NCTU), LongChi Chen (NCCU), HaoWei Huang (NSYSU), ChiiRuey Hwang (AS),
GiRen Liu (NCKU), YuanChung Sheu (NCTU)
Analysis:
ChinCheng Lin (NCU), ChunYen Shen (NTU), Daniel Spector (OIST)
