Visiting Assistant Professor

Postdoctoral Research Associate

1. Working with James Mac Hyman.

2. Developing the theory and implementation of Probability Distribution Variable (PDV) Arithmetic that has the exclusive feature of complete dependency tracking. This approach provides deterministic means to calculate algebraic expressions of random variables and to compute convergent approximations of probability distribution bounds for imprecise probability distributions.

3. Applying dynamical systems theory to mathematical economic models.

Graduate Research Associate

Developed a software package (a Perl preprocessor and a Fortran 77 library) that implements the PDV Arithmetic.

Graduate Teaching Assistant and Associate

Taught courses including precalculus, calculus I,II, III, linear algebra.

Was involved in editing Multivariable Calculus.

Have served as a reviewer (article referee) for professional journals such as Naval Research Logistics, Journal of Statistical Planning and Inference,Computers & Mathematics with Applications.

Programming Languages

Programming experience includes Perl, C, C++, Java, Fortran, SQL, Html, Latex, Minitab, Matlab, and Mathematica, on PC and Unix platforms.

Education

• My Ph.D. was conferred on August 9, 2001. The title of my Ph.D. dissertation is "Stability of Equilibria in Dynamic Oligopolies" on May, 9, 2001.

• My research area is applications of dynamical systems theory to economic modeling. Advisers are Marek Rychlik in the Mathematics Department and Ferenc Szidarovszky in the Systems and Industrial Engineering Department.

• Obtained M.S. degree in mathematics in December 1995.

M.S. in Systems and Management Engineering

Had extensive training in solving OR (operations research) problems with various methodologies (linear-nonlinear-dynamic programming, graph theory, optimal control theory, game theory, etc). My thesis dealt with the global optimization of the structure of the Chinese transportation system.

Publications

1. "The stability of Nash-Cournot equilibria in labor-managed oligopolies", Southwest Journal of Pure and Applied Mathematics, W. Li, and F. Szidarovszky (1999), issue 1, pp. 1-12.

2. "An elementary result in the stability theory of time-invariant nonlinear discrete dynamical systems", Applied Mathematics and Computation, W. Li, and F. Szidarovszky (1999), vol. 102, issue 1, pp. 35-49.

3. "Notes on the stability of dynamic economic systems", Applied Mathematics and Computation, W. Li, F. Szidarovszky, and Y. Kuang (2000), vol. 108, issue 2-3, pp. 85-89.

4. "A note on the stability of a Nash-Cournot equilibrium: The multiproduct case with adaptive expectations", Journal of Mathematical Economics, F. Szidarovszky, and W. Li (2000), vol. 33, issue 1, pp. 101-107.

5. "On the attractivity of a class of homogeneous dynamic economic systems", Nonlinear Analysis: Theory, Methods & Applications, W. Li, M. Rychlik, F. Szidarovszky, and C. Chiarella (2003), vol. 52, issue 6, pp. 1617-1636.

6. "Computer arithmetic for probability distribution variables", Reliability Engineering and System Safety, W. Li, and J. M. Hyman (2004), Volume 85, Issues 1-3, July-September 2004, Pages 191-209.

7. "Theory and implementation of PDV arithmetic", W. Li, and J. M. Hyman, in review.

8. "Global attractivity of Nash equilibria of a labor-managed oligopoly model", M. Rychlik, and W. Li, preprint.

9. "Dynamic equilibria in homogenous systems and a labor-managed oligopoly model'', M. Rychlik, and W. Li (2003), in review.

10. "PDVFOR77: PDV Arithmetic implementation in Fortran 77, version 1.0.", software, W. Li, and J. M. Hyman (2003), "http://math.lanl.gov/~liw/".

Interests

Arts, gardening, outdoor activities.