Sponsored by
 
Differential Equations and Stochastic Analysis

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)

 

 
Events
Conference and Workshop
2024/09/09
2024 NCTS Postdoc Symposium Aim & Scope The NCTS is a leading mathematical research center aiming to promote cutting-...
Conference and Workshop
2024/08/08
The 8th Asian Quantitative Finance Conference Aim & Scope Initiated and organized by Professor Steven Kou in 2013 in Singapore, this co...
Conference and Workshop
2024/07/25
NCTS Distinguished Lecture´╝ÜSpectral Statistics of Random Regular Graphs Title: Spectral Statistics of Random Regular Graphs Time:14:00-15:00 Abstract: ...
Lectures and Courses
2024/09/02
Taiwan Mathematics School: Normal Approximation and Related Topics 1. Introduction and Contents Considering a parameterized nonlinear transformation, which may ...
Lectures and Courses
2024/07/31
Gradient Estimates of the Stokes System 1. Introduction & Purposes We will study the gradient estimates of the Stokes system in s...
 
 
Visitors
Chun-Hung Liu
Texas A&M University
chliu[AT]math.tamu.edu
July 18 - August 9, 2024
 
Tai-Peng Tsai
University of British Columbia
ttsai[AT]math.ubc.ca
June 7 - August 11, 2024
 
Horng-Tzer Yau
Harvard University
htyau[AT]math.harvard.edu
June 22 - August 2, 2024
 
Ju-Yi Yen
University of Cincinnati
ju-yi.yen[AT]uc.edu
May 16 - August 24, 2024
 

 

 
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