Wei-Shih Yang
BOOKS PUBLISHED:
G. Morrow and Wei-Shih Yang, "Probability Models in Mathematical Physics ",
World Scientific 1991
PAPER PUBLICATIONS:
1. Wei-Shih Yang, "Debye screening for 2-dimensional
Coulomb systems at high temperatures",
Journal of Statistical Physics 49, 1-32 (1987).
2. Wei-Shih Yang, "The generators of a Gaussian wave associated with the free
Markov field", Annals of Probability 16, 752-763 (1988).
3. Wei-Shih Yang, "The Simon-Lieb inequality for the phi^4-theory
in two dimensions", Journal of Functional Analysis 77, 139-175 (1988).
4. David Klein and Wei-Shih Yang, "Absence of phase transitions for
continuum models of dimension d > 1",
Journal of Mathematical Physics 29, 1130-1133 (1988).
5. Wei-Shih Yang, "Renormalization of a self-avoiding
Brownian motion in 2 dimensions"
Journal of Functional Analysis 80, 308-331 (1988).
6. David Klein and Wei-Shih Yang, "Phase transition for a one-dimensional
lattice gas with hard-core",
Journal of Statistical Physics 52, 735-745 (1988).
7. Wei-Shih Yang and David Klein, "A note on the critical dimension for weakly
self-avoiding walks",
Probability Theory and Related Fields 79, 99-114 (1988).
8. Wei-Shih Yang and David Klein, "Self-repelling processes associated with
Brownian motions",
Journal of Functional Analysis 84, 322-342 (1989).
9. David Klein and Wei-Shih Yang, "Some correlation inequalities for Ising
antiferromagnets", Journal of Statistical Physics 57, 1049-1058 (1989).
10. Wei-Shih Yang and Bao Nguyen, "Gaussian limit for oriented percolation
in high dimensions", Proceedings of Probability Models in Math. Physics,
World Scientific 1991.
11. David Klein and Wei-Shih Yang, "Classical antiferromagnets: correlation
inequalities and remarks on the phase diagram", Proceedings of Probability
Models in Math. Physics, World Scientific 1991.
12. David Klein and Wei-Shih Yang, "Low-temperature smoothness of the pressure
for antiferromagnets", Journal
of Mathematical Physics 32, 2181-2185 (1991).
13. Wei-Shih Yang and Yu Zhang, "A note on differentiability of
the cluster density for independent percolation in high dimensions", Journal
of Statistical Physics 66, 1123-1138 (1992).
14. Wei-Shih Yang, "Lace expansions for interacting processes", Proceedings
of 1990 Taipei Symposium in Statistics, M. T. Chao, P. E. Cheng, eds., Institute
of Statistical Science, Academia Sinica, 1992.
15. David Klein and Wei-Shih Yang, "Absence of first order phase transitions
for antiferromagnetic systems",
Journal of Statistical Physics 70, 1391-1400 (1993).
16. David Klein and Wei-Shih Yang, "A characterization of first order phase
transitions for superstable interactions in classical statistical
mechanics", Journal of Statistical Physics 71, 1043-1062 (1993).
17. Bao Nguyen and Wei-Shih Yang, "Triangle conditions for oriented percolation
in high dimensions", Annals of Probability 21, 1809-1844 (1993).
18. Wei-Shih Yang, "Lecture Notes in Mathematical Physics", National
Tsing Hua University, Taiwan 1994.
19. Bao Nguyen and Wei-Shih Yang, "Gaussian limit for critical oriented
percolation in high dimensions", Journal of Statistical Physics,
78, 841-876 (1995)
20. Wei-Shih Yang and Aklilu Zeleke, "Expansion methods and scaling limits above critical
dimensions", Taiwanese Journal of Mathematics, V.3, No.4, 425-474, December (1999).
21. Wei-Shih Yang and David Klein, "An FKG equality with applications to random environments",
Letters in Statistics and Probability, 46, 203-209 (2000).
22. Wei-Shih Yang, "Mathematical methods in Statistical Mechanics", Lecture
Notes, National Center for Theoretical Sciences, Hsinchu, Taiwan, 2003.
23. Wei-Shih Yang and Aklilu Zeleke, "The complexity of Loop Erased Walk in Z^3",
International Journal of Pure and Applied Mathematics, Volume 31, No. 1, 79-90 (2006).
24. Shu-Chiuan Chang, Lung-Chi Chen and Wei-Shih Yang, "Spanning trees on the Sierpinski gasket",
J. Stat. Phys. 126, no. 3, 649--667. 82B41 (2007).
25. Wei-Shih Yang, Chaobin Liu and Kai Zhang,
"A path integral formula with applications to quantum random walks in Z^d",
J. Phys. A: Math. Theor. 40 8487-8516 (2007).