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Awards

Selected Publications

  • Books
  • Selected Refereed Journal Papers (selected papers of 1999--date)
    • pdf files of the papers are available upon request
      • S.L. Nguyen, D.T. Nguyen, and G. Yin, A stochastic maximum principle for switching diffusions using conditional mean-fields with applications to control problems, to appear in ESAIM: Control, Optimisation and Calculus of Variations.
      • D. Nguyen, N. Nguyen, and G. Yin, Analysis of a spatially inhomogeneous stochastic partial differential equation epidemic model, to appear in Journal of Applied Probability.
      • F. Wu and G. Yin, An averaging principle for two-time-scale stochastic functional differential equations, Joural of Differential Equations, 269 (2020), 1037-1077.
      • D. Nguyen, G. Yin, and C. Zhu, Long-term analysis of a stochastic SIRS model with general incidence rates, SIAM Journal on Applied Mathematics, 80 (2020), 814-838.
      • D. Nguyen, N. Nguyen, and G. Yin, General nonlinear stochastic systems motivated by chemostat models: Complete characterization of long-time behavior, optimal controls, and applications to wastewater treatment, Stochastic Processes and Their Applications, 130 (2020) 4608-4642.
      • D. Nguyen and G. Yin, Stability of stochastic functional differential equations with regime-switching: Analysis using Dupire's functional Ito formula, Potential Analysis, 53 (2020), 247-265.
      • X. Li and G. Yin, Explicit Milstein schemes with truncation for nonlinear stochastic differential equations: Convergence and its rate, Journal of Computational and Applied Mathematics, 374 (2020), 112771.
      • S. Nguyen, G. Yin, T. Hoang, On laws of large numbers for systems with mean-field interactions and Markovian switching, Stochastic Processes and Their Applications,130 (2020), 262-296.
      • G. Yin, L.Y. Wang, and T. Nguyen, Switching stochastic approximation and applications to networked systems, IEEE Transactions on Automatic Control, 64 (2019), 3587-3601.
      • A. Hening, K. Tran, T.T. Phan, and G. Yin, Harvesting of interacting stochastic populations, Journal of Mathematical Biology 79 (2019), 533-570.
      • D.H. Nguen and G. Yin, Recurrence and ergodicity of switching diffusions with past-dependent switching having a countable state space, Potential Analysis 48 (2018), 405-435.
      • S.L. Nguyen, T. Hoang, D. Nguyen, and G. Yin, Milstein-type procedures for numerical solutions of stochastic differential equations with Markovian switching, SIAM Journal on Numerical Analysis 55 (2017), 953-979.
      • D.H. Nguen and G. Yin, Stability of regime-switching diffusion systems with discrete states belonging to a countable set, SIAM Journal on Control and Optimization, 56(2018), 3893-3917.
      • X. Chen, Z.-Q. Chen, K. Tran, and G. Yin, Properties of switching jump diffusions: Maximum principles and Harnack inequalities, Bernoulli 25 (2019), 1045-1075.
      • X. Chen, Z.-Q. Chen, K. Tran, and G. Yin, Recurrence and ergodicity for a class of regime-switching jump diffusions, Applied Mathematics & Optimization 80 (2019) 415-445.
      • A. Hening, D. Nguyen, and G. Yin, Stochastic population growth in spatially heterogeneous environments: The density-dependent case, Journal of Mathematical Biology. 76 (2018), 697-754.
      • X. Lu, G. Yin, Q. Zhang, C. Zhang, X. Guo, Building up an illiquid stock position subject to expected fund availability: Optimal controls and numerical methods, Applied Mathematics & Optimization 76 (2017) 501-533.
      • D.H. Nguyen and G. Yin, Coexistence and exclusion of stochastic competitive Lotka-Volterra models, Journal of Differential Equations 262 (2017), 1192-1225.
      • F. Wu, G. Yin, and H. Mei, Stochastic functional differential equations with infinite delay: Existence and uniqueness of solutions, solution maps, Markov properties, and ergodicity, Journal of Differential Equations, 262 (2017), 1226-1252.
      • O.N. Gharehshiran, V. Krishnamurthy, and G. Yin, Adaptive search algorithms for discrete stochastic optimization: A smooth best-response approach, IEEE Transactions on Automatic Control, 62 (2017), 161-176.
      • A. Bensoussan, S. Hoe, Z. Yan, and G. Yin, Real options with competition and regime switching, Mathematical Finance, 27 (2017), 224-250.
      • J. Bao, G. Yin, and C. Yuan, Two-time-scale stochastic partial differential equations driven by alpha-stable noises: Averaging principles, Bernoulli, 23 (2017), 645-669.
      • D.H. Nguyen and G. Yin, Modeling and analysis of switching diffusion systems: Past-dependent switching with a countable state space, SIAM Journal on Control and Optimization, 54 (2016), 2450-2477.
      • H. Mei, G. Yin, and F. Wu, Properties of stochastic integro-differential equations with infinite delay: Regularity, ergodicity, weak sense Fokker-Planck equations, Stochastic Processes and Their Applications, 126 (2016), 3102-3123.
      • N.T. Dieu, D.H. Nguyen, N.H. Du, and G. Yin, Classification of asymptotic behavior in a stochastic SIR model, SIAM Journal on Applied Dynamic Systems, 15 (2016), 1062-1084.
      • X. Li and G. Yin, Logistic models with regime switching: Permanence and ergodicity, Journal Mathematical Analysis and Applications. 441 (2016), 593-611.
      • N.T. Dieu, N.H. Du, D.H. Nguyen, and G. Yin, Protection zones for survival of species in random environment, SIAM Journal on Applied Mathematics, 76 (2016), 1382-1402.
      • F. Wu, T. Tian, J. Rawlings, and G. Yin, Approximate methods for stochastic chemical kinetics with two-time scales by chemical Langevin equations, Journal of Chemical Physics 144 (2016), 174112-1--174112-14.
      • N.H. Du, D.H. Nguyen, and G. Yin, Conditions for permanence and ergodicity of certain stochastic predator-prey models, Journal of Applied Probability, 53 (2016), 187-202.
      • H. Mei and G. Yin, Convergence and convergence rates for approximating ergodic means of functions of solutions to stochastic differential equations with Markov switching, Stochastic Process Appl, 125 (2015), 3104-3125.
      • Z. Yang, G. Yin, and Q. Zhang, Mean-variance type controls involving a hidden Markov chain: Models and numerical approximation, IMA Journal of Mathematical Control and Information, 32 (2015), 867-888.
      • Q. Yuan and G. Yin, Analyzing convergence and rates of convergence of particle swarm optimization algorithms using stochastic approximation methods, IEEE Transactions on Automatic Control, 60 (2015), 1760-1773.
      • A. Hashemi, Y. Cao, D. Casbeer, and G. Yin, UAV circumnavigation using noisy range-based measurements without GPS information, ASME Journal of Dynamic Systems, Measurement and Control, 137 (2015), 031009-1-031009-9.
      • A. Hashemi, G. Yin, L.Y. Wang, Sign-error adaptive filtering algorithms involving Markovian parameters, Mathematical Control and Related Fields, 5 (2015) 781-806.
      • Z. Jin, R. Stockbridge, and G. Yin, Some recent progress on numerical methods for controlled regime-switching models with applications to insurance and risk management, Computational Methods in Applied Mathematics, 15, (2015), 331-351.
      • K. Tran and G. Yin, Optimal harvesting strategies for stochastic competitive Lotka-Volterra ecosystems, Automatica, 55 (2015), 236-246.
      • Z. Jin, H.L. Yang, G. Yin, Optimal debt ratio and dividend payment strategies with reinsurance, Insurance: Mathematics and Economics, 64 (2015), 351-363.
      • H.N. Dang, N.H. Du, and G. Yin, Existence of stationary distributions for Kolmogorov systems of competitive type under telegraph noise, Journal of Differential Equations, 257 (2014), 2078-2101.
      • K. Tran and G. Yin, Stochastic competitive Lotka-Volterra ecosystems under partial observation: Feedback controls for permanence and extinction, Journal of the Franklin Institute, 351 (2014), 4039-4064.
      • Q. He and G. Yin, Moderate deviations for time-varying dynamic systems driven by nonhomogeneous Markov chains with two-time scales, Stochastics, 86 (2014), 527-550.
      • G. Yin, Q. Yuan, and L.Y. Wang, Asynchronous stochastic approximation algorithms for networked systems: Regime-switching topologies and multi-scale structure, SIAM Journal: Multiscale Modeling and Simulation, 11 (2013), 813-839.
      • Q. Song, G. Yin, and Q. Zhang, Weak convergence methods for approximation of evaluation of path-dependent functionals, SIAM Journal on Control and Optimization, 51 (2013), 4189-4210.
      • Z. Jin, G. Yin, and F. Wu, Optimal reinsurance strategies in regime-switching jump diffusion models: Stochastic differential game formulation and numerical methods, Insurance: Mathematics and Economics, 53 (2013), 733-746.
      • O. Gharehshiran, V. Krishnamurthy, and G. Yin, Distributed tracking of correlated epsilon-equilibria in regime switching noncooperative games, IEEE Transactions on Automatic Control, 58 (2013), 2435-2450.
      • D.T. Nguyen and G. Yin, Asymptotic expansions of solutions of systems of Kolmogorov backward equations for two-time-scale switching diffusions, Quarterly of Applied Mathematics, 71 (2013), 601-628.
      • D. Higham, M. Roj, X. Mao, Q.S. Song, and G. Yin, Mean exit times and the multi-level Monte Carlo method, SIAM/ASA Journal on Uncertainty Quantification. 1 (2013), 2-18.
      • A. Bensoussan, Z. Yan, and G. Yin, Threshold-type policies for real options using regime-switching models, to appear in SIAM Journal on Financial Mathematics., 3 (2012), 667-689.
      • G. Yin, G. Zhao, and F. Wu, Regularization and stabilization of randomly switching dynamic systems, SIAM Journal on Applied Mathematics, 72 (2012), 1361-1382.
      • F. Wu, G. Yin, and L.Y. Wang, Stability of a pure random delay system with two-time-scale Markovian switching, Journal of Differential Equations, 253 (2012), 878-905.
      • F. Wu and G. Yin, Environmental noise impact on regularity and extinction of population systems with infinite delay, Journal of Mathematical Analysis and Applications, 396 (2012), 772-785.
      • Q.S. Song, G. Yin, and C. Zhu, Optimal switching with constraints and utility maximization of an indivisible market, SIAM Journal on Control and Optimization, 50 (2012), 629-651.
      • S.L. Nguyen and G. Yin, Pathwise convergence rate for numerical solutions of stochastic differential equations, IMA Journal on Numerical Analysis. 32 (2012), 701-723.
      • Z. Yang and G. Yin, Stability of nonlinear regime-switching jump diffusions, Nonlinear Analysis Series A: Theory, Methods & Applications, 75 (2012) 3854-3873.
      • F. Wu, G. Yin, and L.Y. Wang, Moment exponential stability of random delay systems with two-time-scale Markovian switching, Nonlinear Analysis Series B: Real World Applications, 13 (2012), 2476-2490.
      • Z. Jin, G. Yin, and C. Zhu, Numerical solutions of optimal risk control and dividend optimization policies under a generalized singular control formulation, Automatica, 48 (2012), 1489-1501.
      • G. Yin, L.Y. Wang, and Y. Sun, Stochastic recursive algorithms for networked systems with delay and random switching: Multiscale formulations and asymptotic properties, SIAM Journal: Multiscale Modeling and Simulation, 9 (2011), 1087-1112.
      • F. Xi and G. Yin, Jump-diffusions with state-dependent switching: Existence and uniqueness, Feller property, linearization, and exponential ergodicity, Science China: Mathematics, 54 (2011), 2651-2667
      • G. Yin, Y. Sun, and L.Y. Wang, Asymptotic properties of consensus-type algorithms for networked systems with regime-switching topologies, Automatica, 47 (2011), 1366-1378.
      • Q. He, G. Yin, and Q. Zhang, Large deviations for Two-time-scale systems driven by nonhomogeneous Markov chains and associated optimal control problems, SIAM Journal on Control and Optimization, 49 (2011), 1737-1765.
      • G. Yin, G. Zhao, and F. Xi, Mean-Field models involving continuous-state-dependent random switching: Nonnegativity constraints, moment bounds, and two-time-scale limits, Taiwanese Journal of Mathematics, 15 (2011), 1783-1805.
      • B.G. Fitzpatrick, G. Yin, and L.Y. Wang, Robustness, weak stability, and stability in distribution of adaptive filtering algorithms under model mismatch, SIAM Journal: Multiscale Modeling and Simulation, 9 (2011), 183-207.
      • L.V. Thanh, G. Yin, and L.Y. Wang, State observers with random sampling times and convergence analysis of double-indexed and randomly-weighted sums of mixing processes, SIAM Journal on Control and Optimization, 49 (2011), 106-124.
      • G. Yin and C. Zhu, Properties of solutions of stochastic differential equations with continuous-state-dependent switching, Journal of Differential Equations, 249 (2010), 2409-2439.
      • G. Yin and F. Xi, Stability of regime-switching jump diffusions, SIAM Journal on Control and Optimization, 48 (2010), 4525-4549.
      • G. Yin, X.R. Mao, C. Yuan, and D. Cao, Approximation methods for Hybrid diffusion systems with state-dependent switching processes: Numerical algorithms and existence and uniqueness of solutions, SIAM Journal on Mathematical Analysis, 41 (2010), 2335-2352.
      • S.L. Nguyen and G. Yin, Weak convergence of Markov modulated random sequences, Stochastics 82 (2010), 521-552.
      • S.L. Nguyen and G. Yin, Asymptotic properties of Markov modulated random sequences with fast and slow time scales, Stochasitcs 82 (2010), 445-474.
      • G. Yin, Q. Zhang, and C. Zhuang, Recursive algorithms for trailing stop: Stochastic approximation approach, Journal of Optimization: Theory and Applications, 146 (2010), 209-231.
      • G. Yin, Z. Jin, and H. Yang, Asymptotically optimal dividend policy for regime-switching compound Poisson models, Acta Mathematicae Applicatae Sinica, 26 (2010), 529-542.
      • F. Xi and G. Yin, Asymptotic properties of nonlinear autoregressive Markov processes with state-dependent switching, Journal of Multivariate Analysis, 101 (2010), 1378-1389.
      • L.Y. Wang and G. Yin, Quantized identification with dependent noise and Fisher information ratio of communication channels, IEEE Transactions on Automatic Control, 53 (2010), 674-690.
      • C. Yuan and G. Yin, Stability of hybrid stochastic delay systems whose discrete components have a large state space: A two-time-scale approach, Journal of Mathematical Analysis and Applications, 368 (2010) 103-119.
      • V. Krishnamurthy, K. Topley, and G. Yin, Consensus formation in a two-time-scale Markovian system, SIAM Journal: Multiscale Modeling and Simulation, 7 (2009), 1898-1927.
      • G. Yin, Asymptotic expansions of option price under regime-switching diffusions with a fast-varying switching process, Asymptotic Analysis, 65 (2009), 203-222.
      • G. Yin, H. Jin, and Z. Jin, Numerical methods for portfolio selection with bounded constraints, Journal of Computational and Applied Mathematics, 233 (2009), 564-581.
      • B. Bercu, F. Dufour, and G. Yin, Almost sure stabilization for feedback controls of regime-switching linear systems with a hidden Markov chain, IEEE Transactions on Automatic Control 54 (2009), 2114-2125.
      • G. Yin, S. Kan, L.Y. Wang, and C.Z. Xu, Identification of systems with regime switching and unmodelled dynamics, IEEE Transactions on Automatic Control, 54 (2009), 34-47.
      • G. Yin, L.Y. Wang, and S. Kan, Tracking and identification of regime-switching systems using binary sensors, Automatica, 45 (2009), 944-955.
      • C. Zhu and G. Yin, On strong Feller, recurrence, and weak stabilization of regime-switching diffusions, SIAM Journal on Control and Optimization, 48 (2009), 2003-2031.
      • Q. Song and G. Yin, Rates of convergence of numerical Methods for controlled regime-switching diffusions with stopping times in the costs, SIAM Journal on Control and Optimization, 48 (2009), 1831-1857.
      • C. Zhu, G. Yin, and Q.S. Song, Stability of random-switching systems of differential equations, Quarterly of Applied Mathematics, 67 (2009), 201-220.
      • G. Yin, C. Ion, and V. Krishnamurthy, How does a stochastic optimization/approximation algorithm adapt to a randomly evolving optimum/root with jump Markov sample paths, Mathematical Programming Series B, 120 (2009), 67-99.
      • F. Xi and G. Yin, Asymptotic properties of a mean-field model with a continuous-state-dependent switching process, Journal of Applied Probability, 46. (2009), 221-243.
      • G. Yin, Q.S. Song, and H.L. Yang, Stochastic optimization algorithms for barrier dividend strategies, Journal of Computational and Applied Mathematics, 223 (2009), 240-262.
      • M. Pemy, Q. Zhang, and G. Yin, Liquidation of a large block of stock with regime switching, Mathematical Finance, 18 (2008), 629-648.
      • G. Yin and H.Q. Zhang, Discrete-time Markov chains with two-time scales and a countable state space: Limits results and queueing applications, Stochastics, 80 (2008), 339-369.
      • Q.S. Song, G. Yin, and Z. Zhang, Numerical solutions for stochastic differential games with regime switching, IEEE Transactions on Automatic Control, 53 (2008), 509-521.
      • Y.J. Liu, G. Yin, Q. Zhang, and J.B. Moore, Balanced realizations of regime-switching linear systems, Mathematics of Control, Signals, and Systems, 19 (2007), 207-234.
      • G. Yin and H.Q. Zhang, Singularly perturbed Markov chains: Limit results and applications, Annals of Applied Probability, 17 (2007), 207-229.
      • C. Zhu and G. Yin, Asymptotic properties of hybrid diffusion systems, SIAM Journal on Control and Optimization, 46 (2007), 1155-1179.
      • X. Mao, G. Yin, and C. Yuan, Stabilization and destabilization of hybrid systems of stochastic differential equations, Automatica, 43 (2007), 264-273.
      • R.Z. Khasminskii, C. Zhu, and G. Yin, Stability of regime-switching diffusions, Stochastic Processes and Their Applications, 117 (2007), 1037-1051.
      • M. Pemy, Q. Zhang, and G. Yin, Liquidation of a large block of stock, Journal of Bank and Finance, 31 (2007), 1295-1305.
      • Q. Zhang, G. Yin, J.B. Moore, Two-time-scale approximation for Wonham filters, IEEE Transactions on Information Theory, 53 (2007), 1706-1715.
      • L.Y. Wang and G. Yin, Asymptotically efficient parameter estimation using quantized output observations, Automatica, 43 (2007), 1178-1191.
      • G. Yin and C. Zhu, On the notion of weak stability and related issues of hybrid diffusion systems, Nonlinear Analysis: Hybrid System, 1 (2007), 173-187.
      • J.W. Wang, Q. Zhang, G. Yin, Two-time-scale hybrid filters: Near optimality, SIAM Journal on Control and Optimization, 45 (2006), 298-319.
      • V. Krishnamurthy and G. Yin, Controlled hidden Markov models for dynamically adapting patch clamp experiment to estimate Nernst potential of single-ion channels, IEEE Transactions on NanoBioscience, 5 (2006), 115-125.
      • L.Y. Wang, G. Yin, J.-F. Zhang, Joint identification of plant rational models and noise distribution functions using binary-valued observations, Automatica. 42 (2006), 533-547.
      • G. Yin, Y.J. Liu, and H.L. Yang, Bounds of ruin probability for regime-switching models using time scale separation, Scandinavian Actuarial Journal, 2006 (2006), 111-127.
      • G. Yin, Q. Zhang, F. Liu, R.H. Liu, and Y. Cheng, Stock liquidation via stochastic approximation using NASDAQ daily and intra-day data, Mathematical Finance, 16 (2006), 217-236.
      • R.Z. Khasminskii and G. Yin, Uniform asymptotic expansions for pricing European options, Applied Mathematics Optimization, 52 (2005), 279-296.
      • G. Yin, and H.Q. Zhang, Two-time-scale Markov chains and applications to quasi-birth-death queues, SIAM Journal on Applied Mathematics, 65 (2005), 567-586.
      • Q. Zhang, G. Yin, and R.H. Liu, A near-optimal selling rule for a two-time-scale market model, SIAM Journal: Multiscale Modeling and Simulation, 4 (2005), 172-193.
      • G. Yin, Q. Song, and Z. Zhang, Numerical solutions for jump-diffusions with regime switching, Stochastics, 77 (2005), 61-79.
      • R.Z. Khasminskii and G. Yin, Limit behavior of two-time-scale diffusions revisited, Journal of Differential Equations, 212 (2005), 85-113.
      • G. Yin, X. Mao, and K. Yin, Numerical approximation of invariant measures for hybrid diffusion systems, IEEE Transactions on Automatic Control, 50 (2005), 934-946.
      • G. Yin and V. Krishnamurthy, Least mean square algorithms with Markov regime switching limit, IEEE Transactions on Automatic Control, 50 (2005), 577-593.
      • G. Yin and V. Krishnamurthy, LMS algorithms for tracking slow Markov chains with applications to hidden Markov estimation and adaptive multiuser detection, IEEE Transactions on Information Theory, 51 (2005), 2475-2490.
      • G. Yin, V. Krishnamurthy, and C. Ion, Regime switching stochastic approximation algorithms with application to adaptive discrete stochastic optimization, SIAM Journal on Optimization, 14 (2004), 1187-1215.
      • V. Krishnamurthy, X. Wang, and G. Yin, Spreading code optimization and adaptation in CDMA via discrete stochastic approximation, IEEE Transactions on Information Theory, 50 (2004), 1927-1949.
      • R.Z. Khasminskii and G. Yin, On averaging principles: An asymptotic expansion approach, SIAM Journal on Mathematical Analysis, 35 (2004), 1534-1560.
      • G. Yin and H.L. Yang, Two-time-scale jump-diffusion models with Markovian switching regimes, Stochastics and Stochastics Reports, 76 (2004), 77-99.
      • G. Yin and X.Y. Zhou, Markowitz mean-variance portfolio selection with regime switching: from discrete-time models to their continuous-time limits, IEEE Transactions on Automatic Control (special issue on Stochastic Control Methods in Financial Engineering), 49 (2004), 349-360.
      • Y.J. Liu and G. Yin, Asympototic expansions of transition densities for hybrid jump diffusions, Acta Mathematicae Applicatae Sinica, 20 (2004) 1-18.
      • G. Yin and S. Dey, Weak convergence of hybrid filtering problems involving nearly completely decomposable hidden Markov chains, SIAM Journal on Control and Optimization, 41 (2003), 1820-1842.
      • L.Y. Wang, J.F. Zhang, and G. Yin, System identification using binary sensors, IEEE Transactions on Automatic Control, 48 (2003), 1892-1907.
      • G. Yin, V. Krishnamurthy, and C. Ion, Iterate-averaging sign algorithms for adaptive filtering with applications to blind multiuser detection, IEEE Transactions on Information Theory, 49 (2003), 657-671.
      • G. Yin, Q. Zhang, and G. Badowski, Discrete-time singularly perturbed Markov chains: Aggregation, occupation measures, and switching diffusion limit, Advances in Applied Probability, 35 (2003), 449-476.
      • H.-F. Chen and G. Yin, Asymptotic properties of sign algorithms for adaptive filtering, IEEE Transactions on Automatic Control, 48 (2003), 1545-1556.
      • G. Yin and Q. Zhang, Stability of Markov modulated discrete-time dynamic systems, Automatica, 39 (2003), 1339-1351.
      • G. Yin, Q. Zhang, and K. Yin, Constrained stochastic estimation algorithms for a class of hybrid stock market models, Journal of Optimization, Theory and Applications, 118 (2003), 157-182.
      • X.Y. Zhou and G. Yin, Markowitz mean-variance portfolio selection with regime switching: A continuous-time model, SIAM Journal on Control and Optimization, 42 (2003), 1466-1482.
      • V. Krishnamurthy and G. Yin, Recursive algorithms for estimation of hidden Markov models and autoregressive models with Markov regime, IEEE Transactions on Information Theory, 48 (2002), 458-476.
      • L.Y. Wang and G. Yin, Closed-loop persistent identification of linear systems with unmodeled dynamics and stochastic disturbances, Automatica, 38 (2002), 1463-1474.
      • G. Yin and P. Kelly, Convergence rates of digital diffusion network algorithms for global optimization with applications to image estimation, Journal of Global Optimization, 23 (2002), 329-358.
      • G. Yin, R.H. Liu, and Q. Zhang, Recursive algorithms for stock Liquidation: A stochastic optimization approach, SIAM Journal on Optimization, 13 (2002), 240-263.
      • G. Yin, On limit results for a class of singularly perturbed switching diffusions, Journal of Theoretical Probability, 14 (2001), 673-697.
      • G. Yin, Q. Zhang, H. Yang, and K. Yin, Discrete-time dynamic systems arising from singularly perturbed Markov chains, Nonlinear Analysis, Theory, Methods & Applications, 47 (2001), 4763-4774.
      • R.H. Liu, Q. Zhang, and G. Yin, Nearly optimal control of singularly perturbed Markov decision processes in discrete time, Applied Mathematics and Optimization, 44 (2001), 105-129.
      • V. Krishnamurthy, G. Yin, S. Singh, Adaptive step size algorithms for blind interference suppression in DS/CDMA systems, IEEE Transactions on Signal Processing, 49 (2001), 190-201.
      • R.Z. Khasminskii and G. Yin, Asymptotic behavior of parabolic equations arising from null-recurrent diffusions, Journal of Differential Equations, 161 (2000), 154-173.
      • G. Yin, and Q. Zhang, and G. Badowski, Singularly perturbed Markov chains: Convergence and aggregation, Journal of Multivariate Analysis, 72 (2000), 208-229.
      • L.Y. Wang and G. Yin, Persistent identification of systems with unmodeled dynamics and exogenous disturbances, IEEE Transactions on Automatic Control, 45 (2000), 1246-1256.
      • G. Yin, Q. Zhang, and G. Badowski, Asymptotic properties of a singularly perturbed Markov chain with inclusion of transient states, Annals of Applied Probability, 10 (2000), 549-572.
      • G. Yin and Q. Zhang, Singularly perturbed discrete-time Markov chains, SIAM Journal on Applied Mathematics, 61 (2000), 834-854.
      • G. Yin, Convergence of a global stochastic optimization algorithm with partial step size restarting, Advances in Applied Probability, 32 (2000), 480-498.
      • H. Yan, X.Y. Zhou, and G. Yin, Approximating an optimal production policy in a continuous flow line: Recurrence and asymptotic properties, Operations Research, 47 (1999), 535-549.
      • A.M. Ilin, R.Z. Khasminskii, and G. Yin, Asymptotic expansions of solutions of integro-differential equations for transition densities of singularly perturbed diffusions: Rapid switching, Journal of Mathematical Analysis and Applications, 238 (1999), 516-539.
      • Q. Zhang and G. Yin, On nearly optimal controls of hybrid LQG problems, IEEE Transactions on Automatic Control, 44 (1999), 2271-2282.
      • G. Yin, Rates of convergence for a class of global stochastic optimization algorithms, SIAM Journal on Optimization, 10 (1999), 99-120.
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