Program Committee:

Jung-Chao Ban (NCCU), Chun-Hsiung Hsia (NTU), Hsin-Yuan Huang (NYCU), Yuan-Chung Sheu (NYCU), Chun-Yen Shen (NTU),

Kung-Chien Wu (NCKU, committee chair).

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 reaction-diffusion 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:

Chi-Hin Chan (NCTU), Chiun-Chuan Chen (NTU), I-Kun Chen (NTU), Zhi-You Chen (NCUE),
Ching-Hsiao Cheng (NCU), Jann-Long Chern (NTNU), Jong-Shenq Guo (TKU), Chun-Hsiung Hsia (NTU),
Hsin-Yuan Huang (NCTU), Hung-Wen Kuo (NCKU), Dong-Ho Tsai (NTHU), Jenn-Nan Wang (NTU),
Kun-Chien Wu (NCKU), Van Tien Nguyen (NTU) 

Dynamical systems:

Jung-Chao Ban (NCCU), Chih-Hung Chang (NUK), Kuo-Chang Chen (NTHU), Cheng-Hsiung Hsu (NCU)

Probability:

Guan-Yu Chen (NCTU), Lung-Chi Chen (NCCU), Hao-Wei Huang (NTHU), Chii-Ruey Hwang (AS),
Gi-Ren Liu (NCKU), Yuan-Chung Sheu (NCTU), Wai Kit Lam (NTU), Jhih-Huang Li (NTU), Shang-Yuan Shiu (NCU)

Analysis:

Chin-Cheng Lin (NCU), Chun-Yen Shen (NTU), Daniel Spector (NTNU)