**經歷**
- Director of Mathematics Research Promotion Center
MOST
2014/01-2016/12
- Research Fellow
Institute of Mathematics, Academia Sinica
1985 - 2019
- Associate Research Fellow
Institute of Math., Academia Sinica
1982 - 1985
- Research Assistant
Brown University
1980 - 1982
- Teaching assistant
National Taiwan University
1974 - 1977

** 獲獎 **

** 研究簡介 **

Dr. Chow's major research fields are Probability Theory and its applications. His recent research focuses on the evolutionary games and difference equations arising from mathematical biology like the Leslie-Gower competition system. The goal is to study whether species under competition can coexist or only one species can survive.

** 部分著作目錄 List ↓ **
- (with Jang S., Wang H-M) "Cooperative hunting in a discrete predator-prey system II",
*Journal of Biological Dynamics, *
(2019), .
- (with Jang Sophia, Yeh Nai-sher) "Dynamics of a population in two patches with dispersal",
*Journal of difference equations and applications, *
24(2018), no. 4, 543-563.
- (with Jang S., Wang H-M) "Cooperative hunting in a discrete predator-prey system",
*Mathematical Methods in the Applied Sciences, *
(2018), .
- (with Jang Sophia) "Asymptotic dynamics of a modified discrete Leslie-Gower competition system",
*International Journal of Biomathematics, *
10(2017), no. 6, 23 pages-.
- (with Chen H.-C.) "Stability of Cournot Equilibria Under Discrete Best-Reply Dynamics with Non-negative Output Constraints",
*Economics Letters, *
149(2016-12), 172-175(Available online 26 October 2016).
- (with Chen J.-Y.) "A heat conduction problem on some semi-infinite regions",
*Taiwanese Journal of Mathematics, *
20(2016), no. 2, 387-398.
- (with Jang Sophia) "Neimark-Sacker bifurcations in a host-parasitoid system with a host refuge",
*Discrete and Continuous Dynamical Systems, Series B, *
21(2016), no. 6, 1713-1728.
- (with Jang Sophia) "Asymptotic dynamics of the Leslie-Gower competition system with Allee effects and stocking",
*Advances in Difference Equations, *
2015(2015-01), no. 2, 19 pages-.
- (with Jang Sophia) "Dynamics of a system of three interacting populations with Allee effects and stocking",
*JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, *
21(2015), no. 4, 336-359-.
- "Evolutionary prisoner's dilemma games with local interaction and best-response dynamics",
*Frontier of Mathematics in China, *
10(2015), no. 4, 839-856-.
- (with Jang Sophia) "Multiple attractors in a Leslie-Gower competition system with Allee effects",
*Journal of Difference Equations and Applications, *
20(2014), 169-187.
- (with Jang Sophia) "Allee effects in a Ricker-type predator-prey system",
*JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, *
20(2014), no. 9, 1350-1371.
- (with Hsieh J.) "On Multi-Dimensional Discrete-time Beverton-Holt Competition Models",
*Journal of Difference Equations and Applications, *
19(2013), 491-506.
- (with Jang Sophia,) "Coexistence in a discrete competition model with dispersal",
*Journal of Difference Equations and Applications, *
19(2013), 615-632.
- (with Chen H.-C., Wu L.-C.) "Imitation, Local Interaction, and Coordination",
*International Journal of Game Theory, *
42(2013), 1041-1057.
- (with Chen J.-Y.) "On the convergence rate of a recursively defined sequence",
*Mathematical Notes, *
93(2013), no. 2, 238-243.
- (with Jang Sophia,) "Cannibalism in discrete-time predator-prey systems",
*J. Biological Dynamics, *
6(2012), 38-62.
- (with Chen H.-C., Wu L.-C.) "Imitation, Local Interaction, and Efficiency: Reappraisal",
*Economics Bulletin, *
32(2012), no. 1, 675-684.
- (with Jang Sophia,) "Global stability of a juvenile-adult population with cannibalism",
*Proceeding of Sixth International Conference on Dynamic Systems and Applications, *
6(2012), 119-123.
- (with H.C. Chen) "Evolutionary prisoner's dilemma games with one-dimensional local interaction and imitation",
*Advances in Applied Probability, *
41(2009), 154-176.
- (with H.C. Chen) "Equilibrium selection in coordination games with imperfect monitoring",
*J. Applied Probability, *
45(2008), 388-402.
- (with Jong-Yi Chen) "A heat conduction problem with the temperature measured away from the heating point",
*Journal of Difference Equations and Applications, *
13(2007), 431-441.
- (with T.S. Chiang) "Optimal Ventcel graphs, minimal cost spanning trees and asymptotic probabilities",
*Applicable Analysis and Discrete Mathematics, *
1(2007), 265-275.
- (with J.Y. Chen, J. Hsieh) "Some Results on a Heat Conduction Problem by Myshkis",
*J. Computational and Applied Mathematics, *
190(2006), 190-199.
- (with H.C. Chen, J. Hsieh) "Boundedly rational quasi-Bayesian learning in coordination games with imperfect monitoring",
*J. Applied Probability, *
43(2006), 335-350.
- (with J.Y. Chen) "An inequality with application to a difference equation",
*Bulletin Australian Math. Soc., *
69(2004), 519-528.
- (with Zhang Y.) "Large deviations in first-passage percolation",
*Annals of Applied Probability, *
13(2003), 1601-1614.
- (with Chang C-H, Wang Z.) "On the asymptotic behavior of heating times",
*Analysis and Applications, *
1(2003), 429-432.
- (with Chen H.C.) "On the convergence of evolution processes with time-varying mutations and local interaction",
*Journal of Applied Probability, *
38(2001), 301-323.
- (with Chen Y-M, Hsieh J.) "On a heat conduction problem by Myshkis .",
*Journal of Difference Equations and Applications, *
6(2000), 309-318.
- (with Chiang T-S) "On the exponential convergence of some inhomogeneous Markov chain",
*Soochow J. Mathematics, *
26(2000), 97-101.
- (with Chiang T-S) "Comparison of Metropolis algorithm and Swendsen Wang",
*Proceedings Third Sino-Philippine Symposium in Analysis, *
(2000), 21-31.
- (with Zhang Y.) "Inequalities for the score constant in matching random sequences",
*Journal of Applied Probability, *
36(1999), 601-606.
- (with Huang S-Y) "A characterization of the uniform distribution via moments of n-fold convolution modulo one",
*Sankya A, *
61(1999), 148-151.
- (with Chiang T-S) "On the exit problem from a cycle of simulated annealing processes -- a backword equation approach",
*Annals of Applied Probability, *
8(1998), 896-916.
- (with Chiang T-S) "Asymptotic behavior of some linear differential systems",
*Journal of Differential Equations, *
144(1998), 321-352.
- (with Chiang T-S,) "On global and sharp Markov properties of random functional series in Sobolev spaces",
*Theory of Probability and its Applications, *
40(1995), 464-471.
- (with Chiang T-S) "Simulated annealing and optimal cooling rates for some 1-dim spin glass models",
*Proceedings of Symposia in Pure Mathematics AMS, *
(1995), 83-93.
- (with Gatteschi L, Wong R,) "A Bernstein-type inequality for the Jacobi polynomial",
*Proceeding Amer. Math. Soc., *
12(1994), 703-709.
- (with Chiang T-S) "The asymptotic behavior of simulated annealing processes with absorption",
*SIAM J. Control Optimization, *
32(1994), 1247-1265.
- (with Chiang T-S, Lee Y-J,) "Exact formulas of certain functional integrals on Wiener space",
*Stochastics and Stochastic Reports, *
50(1994), 211-223.
- (with Chiang T-S) "Asymptotic behavior of eigenvalues and radom updating schemes",
*Applied Math. and Optimization, *
28(1993), 259-275.
- (with Hsieh J.) "On occupation times of annealing processes",
*Bulletin Math. Academia Sinica, *
20(1992), 19-26.
- (with T.S. Chiang) "A comparison of simulated annealing of Gibbs sampler and Metropolis algorithms",
*Lecture Notes in Statistics, Springer-Verlag, *
74(1992), 117-124.
- (with Chiang T-S, Hsieh J.) "Some limit theorems on simulated annealing",
*Lecture Notes in Statistics, Springer-Verlag, *
74(1992), 125-131.
- (with Grenander, U, Keenan D. M.) "Hands: A Pattern Theoretic Study of Biological Shapes,Research Notes in Neural Computing vol. 2, Springer-Verlag, New York, 1991.",
*, *
(1991), .
- "A limit theorem for pattern synthesis in image processing",
*J. Multivariate Analysis, *
34(1990), 75-94.
- (with Chiang T-S) "A limit theorem for a class of inhomogeneous Markov processes",
*Annals of Probability, *
17(1989), 1483-1502.
- (with Chiang T-S) "Eigenvalues and annealing rates",
*Mathematics of Operation Research, *
13(1988), 505-511.
- (with Chiang T-S) "On the convergence rate of annealing processes",
*SIAM J. Control Optimization, *
26(1988), 1455-1470.
- "Estimating trajectories",
*Annals of Statistics, *
15(1987), 552-567.
- (with Chiang T-S, Lee Y-J) "A formula for $E_W\,{\rm exp}(-2^{-1}a |x+y|^2_2)$",
*Proceeding Amer. Math. Soc., *
100(1987), 721-724.
- "On the number of regular configurations",
*Discrete Mathematics, *
66(1987), 51-58.
- (with Chiang T-S) "On the convergence rate of a special class of annealing processes",
*Soochow J. Mathematics, *
13(1987), 23-30.
- (with Wu F-Y) "Residual entropy in discrete spin systems",
*Physics Review B, *
36(1987), 285-288.
- (with U. Grenander) "Pattern inference for a background deformation, RPA Division of Applied Mathematics, Brown University, 1985.",
*, *
(1985), .
- (with Grenander U.) "A singular perturbation problem",
*Journal of Integral Equations, *
9(1985), 63-73.
- (with Sheu Shuenn-jyi) "On the eigenvalues and eigenfunctions of a singular perturbated integral equation",
*Journal of Integral Equations, *
9(1985), 199-212.
- "Estimation of analytic functions",
*Z. Wahrsch. Verw. Gebiete, *
70(1985), 437-443.
- "A generalization of Lagrange interpolation theorem",
*J. Approximation Theory, *
44(1985), 253-257.
- (with Trent T., Wang, J.) "A separation problem on function spaces",
*Journal of Math Analysis and Applications, *
111(1985), 177-187.
- (with Grenander, U.) "A sieve estimate for the spectral density",
*Annals of Statistics, *
13(1985), 998-1010.
- (with Katz, M.) "Templeting and self-assembly",
*J. Theoretic Biology, *
113(1985), 1-13.
- (with Geman S, Wu L-D) "Consistent cross-validated density estimation",
*Annals of Statistics, *
11(1983), 25-38.
- "On density estimates, RRA. No. 113, Division of Applied Mathematics, Brown University, 1982.",
*Division of Applied Mathematics, *
(1982), .
- (with L. D. Wu) "On algebraic closures of random samples, RPA. No. 103, Division of Applied Mathematics, Brown University, 1981.",
*, *
(1981), .
- (with L. D. Wu) "On some limit theorems of regularity controlled probabilities, RRA. No. 108, Division of Applied Mathematics, Brown University, 1981.",
*, *
(1981), .
- (with L. D. Wu) "On the stability of absorbing time of Markov chains, RPA. No. 111, Division of Applied Mathematics, Brown University, 1981.",
*, *
(1981), .
- "Estimation of conformal mappings",
*Ph.D. Thesis (Brown Univ.), *
(1980), .
- "Bayesian estimation for periodic and stationary Gaussian processes, RPA. No. 73, Division of Applied Mathematics, Brown University, 1978.",
*, *
(1978), .