Tiejun Li (李铁军)

Ph.D. 2001, Peking University
Professor of Mathematics CV


Office: Room 1494E in the First Science Building, Peking University.
北京大学理科1号楼1494E
Tel: 86-10-62757592
Fax: 86-10-62751801
Email: tieli{at} math {dot} pku {dot} edu {dot} cn


Mailing address:

School of Mathematical Sciences,
Peking University,
No. 5 Yiheyuan Road,
Haidian District, Beijing, 100871
P.R. China

北京大学数学科学学院, 100871


Useful links


Courses


Research interests

My basic interest is the stochastic modeling and simulations in Science and Engineering. Currently we are mostly interested in developing mathematical theory and computational methods for the problems in chemical reaction kinetics in systems biology. This includes the deeper understanding and development of rare events for biological systems and statistical methods for bio-data. Some more research interests include:


Recent research activities


Editorial services

Associate editor of Mathematica Numerica Sinica (计算数学)

Associate editor of Numerical Mathematics: A Journal of Chinese Universities (高等学校计算数学学报)

Past Editorial Board in: Communications in Mathematical Sciences


Academic visits


Code

Our community detection algorithm SAVI (Simulated Annealing algorithm for minimizing Validity Index) based on the optimal reduction of the random walker dynamics on the complex network (see the papers on complex networks below) is integrated here. To use it, unzip the downloaded files and run the main.m file in matlab environment. The matlab codes main.m is the main function. The other .m files are functions called by main.m. Some network data files are also included. The output is the .clu file which can be visualized with the software Pajek.

The code for the geometric Minimum Action Method (gMAM) for the genetic switching dimer model can be downloaded here.

The code and data for the Partial Association index (LPA/NPA) for the biological network inference can be downloaded here.

The code for computing the energy barrier in mitochondrial apoptosis pathway can be downloaded here.

The code and data for constructing cell differentiation potential with the LDD (Landscape of Differentiation Dynamics) method here.


Books

Numerical Analysis (in chinese): 《数值分析》(北京大学出版社). An errata is here.


Selected publications

Chemical Reaction Kinetics: Currently we focus our research on the understanding of the tau-leaping algorithm and constructing more accurate and stabilized schemes based on solid mathematical analysis. I mainly collaborate with Assyr Abdulle (EPFL), Fangting Li (PKU) and my students Yucheng Hu and Bin Min (PKU) in this research field.

Rare events: We aim to develop the mathematical theory and numerical methods for the rare events in material sciences and systems biology. I mainly collaborate with Wei Zhang (PKU), Pingwen Zhang (PKU) and Xiang Zhou (CityU HK) in this field.

Anderson Localization: The theme is to understand the effect of the noise (time-dependent for linear Schrodinger equation and time-independent for nonlinear Schrodinger equation) to the quantum system. I mainly collaborate with Weizhu Bao (NUS) and Bin Min (PKU) in this field.

Multiscale modeling of complex fluids: We have done some theoretical analysis for the multiscale models of complex fluids, such as the wellposedness of the equations, convergence analysis of the BCF method, and HMM methods. This is an exciting area. I mainly collaborate with Weinan E (Princeton), Eric Vanden-Eijnden (Courant), Hui Zhang (BNU) and Pingwen Zhang (PKU) in this field.

Statistical data analysis: The data is emerging each second in our time. How to extract the information from the data? We consider this problem from different interesting backgrounds such as the complex networks, quantum optics, Netflix problems etc.

Miscs:


Applications

If you want to apply as my graduate student, ask me to supervise your undergraduate study, or write recommendation letters for you, please read this at first.


Postdocs: Wanted!!!

We have enough funding for postdoc positions. If you have interests to do related research in stochastic modeling and computations, e.g. numerical methods for SDEs, applications in rare events, computational biology, etc. Please send your CV and application letter to me directly.


Grants


Current students

Former students


Last modified: Aug. 27th, 2015.