1. Proof of the Wilf-Zeilberger conjecture in mechanical proving of combinatorial identities.
2. On peakon, Toda lattices and the related orthogonal polynomials.
3. Some dynamical properties for random point processes.
4. Langlands-Kottwitz conjecture and the cohomology of Shimura varieties.
5. Application of advanced control method in high performance aircraft.
6. Bayesian selection of misspecified models.