Selected Publications
Books
- H. J. Kushner and G. Yin, Stochastic
Approximation and Recursive Algorithms and Applications, 2nd
Edition, Springer-Verlag, New York, 2003,
[Applications of Mathematics, Volume 35], xxii+474 pp.,
Stochastic Approximation Algorithms and
Applications, 1st Edition, 1997. xxi+417 pp.
- G. Yin and Q. Zhang, Continuous-Time Markov Chains
and Applications: A Two-Time-Scale
Approach,
2nd, Springer, New York, 2013, [Stochastic Modeling and Applied Probability, Volume 37], xxi+427 pp.,
1st Edition, 1998, [Applications of
Mathematics, Volume 37], xv+349 pp.
- G. Yin and Q. Zhang,
Discrete-time Markov Chains: Two-time-scale Methods and
Applications, Springer, New York, 2005, [Applications of Mathematics, Volume 55],
xx+347 pp.
- G. Yin and C. Zhu,
Hybrid Switching Diffusions:
Properties and Applications, Springer, New York, 2010,
[Stochastic Modeling and Applied Probability, Volume 63],
xviii+395 pp.
- L.Y. Wang, G. Yin, J.-F. Zhang, and Y. Zhao,
System Identification with Quantized Observations,
Birkhauser, Boston, 2010, [Systems & Control Foundations and Applications], xviii+317 pp.
- Q. He, L.Y. Wang, and G. Yin,
System Identification Using Regular and Quantized Observations
Applications of Large Deviations Principles, Springer, New York, 2013, [SpringerBriefs in Mathematics], xii+95 pp.
- H. Jasso-Fuentes and G. Yin, Advanced Criteria for controlled
Markov-Modulated Diffusions in an Infinite Horizon: Overtaking, Bias,
and Blackwell Optimality, Science Press, Beijing, China, 2013, [Systems and Control], ix+139 pp.
-
G. Yin, H.Q. Zhang, and Q. Zhang,
Applications of Two-time-scale
Markovian Systems, Science Press, Beijing, China, 2013, [Systems and Control], vii+209 pp.
- J. Bao, G. Yin, and C. Yuan, Asymptotic Analysis for
Functional Stochastic
Differential Equations, Springer, New York, 2016, [SpringerBriefs in Mathematics], xi+151 pp.
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.
Books Edited
- G.
Yin and Q. Zhang (Eds.), Recent Advances in Control and Optimization of Manufacturing
Systems, Springer-Verlag, London, 1996, xii+222pp.
- G.
Yin and Q. Zhang (Eds.), Mathematics
of Stochastic Manufacturing Systems,
Proceedings of the 1996 AMS-SIAM Summer Seminar in Applied Mathematics,
Lectures in Applied Mathematics, LAM 33, American Mathematical Society,
Providence, RI, 1997, xii+399pp.
- W.M.
McEneaney, G. Yin, and Q. Zhang (Eds.), Stochastic
Analysis, Control, Optimization, and
Applications, Birkhauser, Boston, 1999, xxxii+637pp.
- G.
Yin and Q. Zhang (Eds.), Mathematics
of Finance, Proceedings of the 2003 AMS-IMS-SIAM Joint Summer Research
Seminar in Applied Mathematics, Contemporary Mathematics, Vol. 351, American
Mathematical Society, Providence, RI, 2004, xiv+398pp.
- H.M. Yan,
G. Yin, and Q. Zhang (Eds.), Stochastic Processes, Optimization,
and Control Theory Applications in
Financial Engineering, Queueing Networks, and
Manufacturing Systems, Springer, 2006, xlvi+360pp.
- P. Agrawal,
M. Andrews, P.J. Fleming, G. Yin, and L. Zhang, (Eds.),
Wireless Communications, IMA Volumes in
Mathematics and Its Applications,
Volume 143,
Springer, 2007, x+374pp.
- P.-L. Chow, B. Mordukhovich,
and G. Yin (Eds.),
Topics in Stochastic Analysis and Nonparametric
Estimation, IMA Volumes in
Mathematics and Its Applications,
Volume 145,
Springer, 2007, xi+210pp.
- A. Tsoi, D. Nualart, and G. Yin (Eds.),
Stochastic Analysis, Stochastic Systems, and Applications to
Finance, World Scientific, New Jersey, 2011, x+261pp.
- F. Fahroo, L.Y. Wang, and G. Yin (Eds.),
Advances in Research on
Unmanned Aerial Vehicles,
Lecture Notes in Control and Information Sciences, Vol. 444,
Springer, Berlin, 2013, x+207pp.
- G. Yin and Q. Zhang (Eds.),
Modeling, Stochastic Control, Optimization, and Applications,
IMA Volumes in Mathematics and its
Applications,
Volume 164,
Springer Nature Switzerland AG, 2019.
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