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Retired Research Fellows

Chow, Yunshyong

Retired Research Fellow

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. 

Research Fields: Probability

Email : chow@math.sinica.edu.tw

Extension : 400

  • Mathematics Department, BS National Taiwan University 1973
  • Mathematics Department, MS National Taiwan University 1976
  • Division of Applied Mathematics, Ph.D Brown University 1980

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

  • 1987 and 1990, 國科會傑出獎

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