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), 
Jia-Yuan Dai (NTHU), 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
Seminars and Talks
2025/03/13
Robustness of Pushed and Pulled Invasion Fronts in Singularly Perturbed Reaction-diffusion Systems Abstract When studying invasion fronts in systems of reaction-diffusion equations one often c...
Conference and Workshop
2025/06/09
2025 NCTS International Conference on PDEs Aim & Scope The conference days are set up in the afternoons of June 9, 10, 12, and 13, 2...
Conference and Workshop
2025/06/05
2025 NCTS Workshop on Dynamical Systems Aim & Scope The “2025 NCTS Workshop on Dynamical Systems” will take place dur...
Conference and Workshop
2025/04/28
2025 Spring NSTC-NCTS-MRPC Joint Conference on Interdisciplinary Research Aim & Scope In this conference, we bring in scholars from different disciplines to give t...
Conference and Workshop
2025/04/16
NCTS Workshop on Kinetic and Wave Equations Aim & Scope The purpose of this workshop to bring together the experts in the fields of kin...
Conference and Workshop
2025/04/09
NCTS Workshop on PDEs, Dynamical Systems and Applications Aim & Scope The workshop will bring together specialist working in various aspects of PDE...
Conference and Workshop
2025/03/20
NCTS One-Day Workshop on Nonlinear Evolutionary Dynamics Aim & Scope This workshop offers five talks highlighting cutting-edge research in nonline...
Conference and Workshop
2025/03/11
NCTS 2025 Spring Day Aim & Scope NCTS is a leading mathematical research center dedicated to promoting cutting...
Lectures and Courses
2025/06/02
2025 NCTS Summer School on Fluid Dynamics and Kinetic Theory 1. Introduction & Purposes The purpose of the summer school is to introduce graduate stud...
Lectures and Courses
2025/04/02
Limit theorems: from Lindeberg principle to SPDEs 1. Introduction & Purposes This is a mini course that aims at an audience of advanced und...
 
 
Visitors
Bernold Fiedler
Free University of Berlin
bernold.fiedler[AT]googlemail.com
March 16 - April 1, 2025
 
Lingbing He
Tsinghua University
lbhe[AT]math.tsinghua.edu.cn
April 14 - 21, 2025
 
Tai-Peng Tsai
University of British Columbia
ttsai[AT]math.ubc.ca
May 27 - June 15, 2025
 
Xuecheng Wang
Tsinghua University
xuecheng[AT]tsinghua.edu.cn
April 14 - 21, 2025
 
Shiwu Yang
BICMR-Beijing University
shiwuyang[AT]bicmr.pku.edu.cn
April 14 - 21, 2025
 
Pin Yu
Tsinghua University
yupin[AT]mail.tsinghua.edu.cn
April 14 - 21, 2025
 
Nikolaos Zygouras
University of Warwick
N.Zygouras[AT]warwick.ac.uk
March 30 - April 28, 2025
 

 

 
back to list  
(C) 2021 National Center for Theoretical Sciences