Dept of Mathematics

DEPT OF MATHEMATICS

Researcher : Akutsu T

List of Research Outputs

Chen X., Akutsu T., Tamura T. and Ching W.K., Finding Optimal Control Policy in Probabilistic Boolean Networks with Hard Constraints by Using Integer Programming and Dynamic Programming, Proceedings of 2010 IEEE International Conference on Bioinformatics and Biomedicine, December Hong Kong.. 2010, 240-246.

Researcher : Aoki-Kinoshita F

List of Research Outputs

Jiang H., Ching W.K., Aoki-Kinoshita F. and Guo D., Delay Discrete Dynamical Models for Genetic Regulatory Networks, In: Ding-Zhu Du and Xiang-Sun Zhang, Lecture Notes in Operations Research . 2010, 9.

Researcher : Chan KH

Project Title:	Construction of A 3D Dynamic Interface Solar Dynamo: Mathematical Theory and Numerical Simulations
Investigator(s):	Chan KH
Department:	Mathematics
Source(s) of Funding:	General Research Fund (GRF)
Start Date:	09/2008
Completion Date:	11/2010

Project Title:	Precessionally driven flows in planetary fluid cores
Investigator(s):	Chan KH
Department:	Mathematics
Source(s) of Funding:	General Research Fund (GRF)
Start Date:	12/2010

List of Research Outputs

Chan K.H., Zhang K. and Liao X., Fluid motion in a triaxial cavity driven by libration, The Taylor/Francis Symposium on "Rotating Flow and Dynamo", Mathematics Research Institute, University of Exeter, UK. 2011.

Chan K.H., Zhang K. and Liao X., Planetary libration and its implication for planetary dynamos, The 2011 International Union of Geodesy and Geophysics (IUGG) General Assembly, in Melbourne, Australia. 2011.

Chan K.H., Reviewer for International Journal for Numerical Methods in Fluids (Oct 2010), 2010.

Chan K.H., Reviewer for Physics of the Earth and Planetary Interiors (May 2011), 2011.

Chan K.H., Reviewer for Physics of the Earth and Planetary Interiors (Nov 2010), 2010.

Chan K.H., Liao X. and Zhang K., Simulations of fluid motion in ellipsoidal planetary cores driven by longitudinal libration, In: G. Helffrich, K. Hirose, M. Jellinek, Physics of the Earth and Planetary Interiors. Amsterdam, Elsevier B.V., 2011.

Chan K.H., Zhang K. and Liao X., Topographic coupling between a non-spherical librating planet and its liquid core, The Second Beijing Earth & Planetary Interior Symposium (BEPIS), Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, China. 2010.

Zhang K., Chan K.H. and Liao X., Fluid dynamics in a librating triaxial ellipsoidal planet, American Geophysical Union (AGU) Fall Meeting 2010, Moscone Convention Center, San Francisco, California, USA. 2010.

Zhang K., Chan K.H. and Liao X., On fluid flows in precessing spheres in the mantle frame of reference, In: John Kim, L. Gary Leal, Physics of Fluids. New York, American Institute of Physics, 2010, 22: 116604.

Zhang K., Chan K.H. and Liao X., On fluid motion in librating ellipsoids with moderate equatorial eccentricity, In: M. G. Worster, C. Meneveau, P. F. Linden, Journal of Fluid Mechanics. Cambridge, Cambridge University Press, 2011, 673: 468-479.

Researcher : Chan TH

List of Research Outputs

Chan T.H., Choi S.K.K. and Tsang K.M., An Extension to the Brun-Titchmarsh Theorem, Quarterly Journal of Mathematics. 2011, 62, No.2: 302-322.

Researcher : Chan YM

List of Research Outputs

Li L., Ching W.K., Chan Y.M. and Mamitsuka H., On Network-based Kernel Methods for Protein-Protein Interactions with Applications in Protein Functions Prediction, Journal of System Science and Complexity. Springer, 2010, 23: 917-930.

Researcher : Chen K

List of Research Outputs

Huang M., Chen K., Ching W.K. and Siu K.T.K., Principal-agent Theory Based Risk Allocation Model for Virtual Enterprise , Journal of Service Science and Management. 2010, 3: 241-249.

Researcher : Chen X

List of Research Outputs

Chen X., Li L., Ching W.K. and Tsing N.K., A Modified Entropy Approach for Construction of Probabilistic Boolean Networks, In: Ding-Zhu Du and Xiang-Sun Zhang, Lecture Notes in Operations Research . 2010, 13.

Chen X., Ching W.K., Chen X., Cong Y. and Tsing N.K., Construction of Probabilistic Boolean Networks from a Prescribed Transition Probability Matrix: A Maximum Entropy Rate Approach , East Asian Journal of Applied Mathematics. 2011, 1: 132-154.

Chen X., Akutsu T., Tamura T. and Ching W.K., Finding Optimal Control Policy in Probabilistic Boolean Networks with Hard Constraints by Using Integer Programming and Dynamic Programming, Proceedings of 2010 IEEE International Conference on Bioinformatics and Biomedicine, December Hong Kong.. 2010, 240-246.

Chen X., Jiang H., Ching W.K. and Li L., Inferring Functional Annotation for Human Genes from Gene-PDB Structure Mapping, the 2nd International Conference on Biomedical Engineering and Computer Science (ICBECS 2011), 23-24 April, 2011, Wuhan, China.. IEEE, 2011, 26-29.

Chen X., Ching W.K. and Tsing N.K., On Some Inverse Problems in Generating Probabilistic Boolean Networks, In: M. Dehmer, F. Emmert-Streib, A. Graber and A. Salvador, Applied Statistics for Network Biology. Wiley-Blackwell, 2011, 1: 329-346.

Chen X., Li W. and Ching W.K., Perturbation Analysis For the Sign Functions of Regular Matrix Pairs, Numerical Linear Algebra with Applications. 2011, 18: 189-203.

Xu W., Ching W.K., Zhang S., Li W. and Chen X., A Matrix Perturbation Method for Computing the Steady-state Probability Distributions of Probabilistic Boolean Networks with Gene Perturbations, Journal of Computational and Applied Mathematics. 2011, 235: 2242–2251.

Researcher : Chen X

List of Research Outputs

Chen X., Li W. and Ching W.K., Perturbation Analysis For the Sign Functions of Regular Matrix Pairs, Numerical Linear Algebra with Applications. 2011, 18: 189-203.

Researcher : Chen X

List of Research Outputs

Chen X., Li W. and Ching W.K., Perturbation Analysis For the Sign Functions of Regular Matrix Pairs, Numerical Linear Algebra with Applications. 2011, 18: 189-203.

Researcher : Chen Y

List of Research Outputs

Xu W., Li W., Ching W.K. and Chen Y., Backward Errors for Eigenproblem of Two Kinds of Structured Matrices, Journal of Computational and Applied Mathematics. 2010, 235: 59-73.

Researcher : Chen Z

List of Research Outputs

Chen X., Chen Z. and Zang W., The paper entitled "A Unified Approach to Box-Mengerian Hypergraphs" (Math. Oper. Res. 35 (2010), 655-668, joint with X. Chen and Z. Chen) was selected as an outstanding research achievement., Academy of Mathematics and Systems Science, Chinese Academy of Sciences . 2010.

Researcher : Cheung WS

Project Title:	Complete Monotonicity of Special Functions Involving the Gamma, Digamma, and Polygamma Functions
Investigator(s):	Cheung WS
Department:	Mathematics
Source(s) of Funding:	Seed Funding Programme for Basic Research
Start Date:	02/2005

Project Title:	Boundary Value Problems on Time Scales
Investigator(s):	Cheung WS
Department:	Mathematics
Source(s) of Funding:	General Research Fund (GRF)
Start Date:	01/2008
Completion Date:	12/2010

Project Title:	APPROXIMATING THE STIELTJES INTEGRAL
Investigator(s):	Cheung WS
Department:	Mathematics
Source(s) of Funding:	Seed Funding Programme for Basic Research
Start Date:	06/2009
Completion Date:	11/2010

Project Title:	Complete Monotonicity and Logarithmically Complete Monotonicity of Functions
Investigator(s):	Cheung WS
Department:	Mathematics
Source(s) of Funding:	Seed Funding Programme for Basic Research
Start Date:	03/2011

List of Research Outputs

Chang-Jian Z., Lian-Ying C. and Cheung W.S., On Some New Hilbert-Type Inequalities, Mathematica Slovaca. 2011, 61, No.1: 15-28.

Chang-jian Z. and Cheung W.S., L_p-Mixed Intersection Bodies and Star Duality, Proc. Indian Acad. Sci. (Math. Sci.). 2010, 120, No.4: 429-440.

Chen C. .P., Cheung W.S. and Wang W., On Shafer and Carlson Inequalities, Journal of Inequalities and Applications. 2011, 2011, Art. ID 840206: 10 pages.

Chen L., Zhao C. and Cheung W.S., On Lyapunov-Type Inequalities for Two-Dimensional Nonlinear Partial Systems, Journal of Inequalities and Applications 2010. 2010, Art. ID 504982: 12 pages.

Cheung W.S., Associate Editor, Journal of Inequalities and Applications. 2010.

Cheung W.S., Editor of Australian Journal of Mathematical Analysis and Applications. 2011.

Cheung W.S., Editor of Journal Abstract and Applied Analysis. 2010.

Cheung W.S., Editor of Journal of Inequalities in Pure and Applied Mathematics. 2011.

Cheung W.S., Editor of the Bulletin of Southeast Asian Mathematical Society. 2011.

Cheung W.S., Editor, Asian European Journal of Mathematics. 2010.

Cheung W.S., Reviewer of Zentralblatt Math. V.1154, No.26319. 2010.

Cheung W.S., Reviewer of Zentralblatt Math. V.1155, No.26020. 2010.

Cheung W.S., Reviewer of Zentralblatt Math. V.1161, No.34352. 2010.

Cheung W.S., Reviewer of Zentralblatt Math. V.1162, No.34057. 2010.

Cheung W.S., Reviewer of Zentralblatt Math. V.1182, No.26054. 2010.

Cheung W.S., Reviewer of Zentralblatt Math. V.1182, No.26060. 2010.

Cheung W.S., Reviewer of Zentralblatt Math. V.1183, No.15018. 2010.

Cheung W.S., Reviewer of Zentralblatt Math. V.1184, No.26014. 2010.

Cheung W.S., Reviewer of Zentralblatt Math. V.1184, No.26018. 2010.

Cheung W.S., Reviewer of Zentralblatt Math. V.1184, No.26022. 2010.

Cheung W.S., Reviewer of Zentralblatt Math. V.1194, No.34152. 2011.

Cheung W.S., Reviewer of Zentralblatt Math. V.1196, No.26020. 2011.

Cheung W.S., Reviewer of Zentralblatt Math. V.1196, No.26023. 2011.

Cheung W.S., Reviewer of Zentralblatt Math. V.1200, No.26024. 2011.

Cheung W.S., Reviewer of Zentralblatt Math. V.1202, No.26029. 2011.

Cheung W.S., Ren J. and Zhao D., Solvability of Quasi-Linear Multi-Point Boundary Value Problem at Resonance, Eurasian Mathematical Journal. 2010, 1, No.4: 78-94.

Ren J., Cheung W.S. and Cheng Z., Existence and Lyapunov Stability of Periodic Solutions for Generalized Higher-Order Neutral Differential Equations, Boundary Value Problems. 2011, 2011, Art. ID 635767: 21 pages.

Yuan J., Leng G. and Cheung W.S., Convex Bodies with Minimal p-Mean Width, Houston Journal of Mathematics. 2010, 36, No.2: 499-511.

Zhao C., Chen L. .Y. and Cheung W.S., On Hilbert-Pachpatte Multiple Integral Inequalities, Journal of Inequalities and Applications. 2010, Art. ID 820857: 7 pages.

Zhao C. and Cheung W.S., On New Hilbert-Pachpatte Type Integral Inequalities, Taiwanese Journal of Mathematics. 2010, 14, No.4: 1271-1282.

Researcher : Ching WK

Project Title:	On Perron-Frobenius Theory for Multivariate Markov Chains with Applications
Investigator(s):	Ching WK, Akutsu T
Department:	Mathematics
Source(s) of Funding:	General Research Fund (GRF)
Start Date:	07/2007
Completion Date:	12/2010

Project Title:	On Construction of Probabilistic Boolean Networks
Investigator(s):	Ching WK
Department:	Mathematics
Source(s) of Funding:	Small Project Funding
Start Date:	12/2008
Completion Date:	11/2010

Project Title:	Matrix Approximation Theory for Probabilistic Boolean Networks with Applications
Investigator(s):	Ching WK
Department:	Mathematics
Source(s) of Funding:	Seed Funding Programme for Basic Research
Start Date:	01/2010

Project Title:	On Building Sparse Stochastic Networks with Applications
Investigator(s):	Ching WK
Department:	Mathematics
Source(s) of Funding:	Small Project Funding
Start Date:	01/2011

Project Title:	The Fourth International Joint Conference on Computational Sciences and Optimization (CSO 2011) On Infectious Models for Dependent Default Risk
Investigator(s):	Ching WK
Department:	Mathematics
Source(s) of Funding:	URC/CRCG - Conference Grants for Teaching Staff
Start Date:	04/2011
Completion Date:	04/2011

List of Research Outputs

Chen X., Li L., Ching W.K. and Tsing N.K., A Modified Entropy Approach for Construction of Probabilistic Boolean Networks, In: Ding-Zhu Du and Xiang-Sun Zhang, Lecture Notes in Operations Research . 2010, 13.

Chen X., Ching W.K., Chen X., Cong Y. and Tsing N.K., Construction of Probabilistic Boolean Networks from a Prescribed Transition Probability Matrix: A Maximum Entropy Rate Approach , East Asian Journal of Applied Mathematics. 2011, 1: 132-154.

Chen X., Akutsu T., Tamura T. and Ching W.K., Finding Optimal Control Policy in Probabilistic Boolean Networks with Hard Constraints by Using Integer Programming and Dynamic Programming, Proceedings of 2010 IEEE International Conference on Bioinformatics and Biomedicine, December Hong Kong.. 2010, 240-246.

Chen X., Jiang H., Ching W.K. and Li L., Inferring Functional Annotation for Human Genes from Gene-PDB Structure Mapping, the 2nd International Conference on Biomedical Engineering and Computer Science (ICBECS 2011), 23-24 April, 2011, Wuhan, China.. IEEE, 2011, 26-29.

Chen X., Ching W.K. and Tsing N.K., On Some Inverse Problems in Generating Probabilistic Boolean Networks, In: M. Dehmer, F. Emmert-Streib, A. Graber and A. Salvador, Applied Statistics for Network Biology. Wiley-Blackwell, 2011, 1: 329-346.

Chen X., Li W. and Ching W.K., Perturbation Analysis For the Sign Functions of Regular Matrix Pairs, Numerical Linear Algebra with Applications. 2011, 18: 189-203.

Ching W.K., Construction of Probabilistic Boolean Networks by Maximum Entropy Rate Approach, EASIAM Conference, Waseda University, Japan. 2011.

Ching W.K., Markov Chain: Models, Algorithms and Applications, a 16-hour short course, 22-27 May 2011 overseas lecturer scheme, Tsinghua University. 2011.

Ching W.K., Leung H.Y., WU Z.Y. and Jiang H., Modeling Default Risk via a Hidden Markov Model of Multiple Sequences, Frontiers of Computer Science in China . 2010, 4: 187-196.

Ching W.K. and Zhu D., On High-dimensional Markov Chain Models for Categorical Data Sequences with Applications, , In: X.Q. Jin, H.W. Sun and S.W. Vong, Recent Advances in Scientific Computing and Matrix Analysis . International Press, 2011, 15-31.

Ching W.K., On Modeling Correlated Default Risk , International Conference on Applied Statistics and Financial Mathematics, Hong Kong Polytechnic University, Hong Kong (12/2010).. 2010.

Ching W.K., On Some Hidden Markov Models with Applications (60 minutes invited lecturer), South China Normal University. 2011.

Ching W.K., Some High-dimensional Markov Chain Models with Applications, (invited speaker) 60 minute talk, Electronic University of Science and Technology, Chengdu, China.. 2011.

Choi S.M., Huang X. and Ching W.K., Inducing Optimal Service Capacities via Performance-Based Allocation of Demand in a Queueing System with Multiple Servers, The 40th International Conference on Computers and Engineering, Hyogo, Japan, 2010.

Cong Y., Ching W.K., Tsing N.K. and Leung H.Y., On finite-horizon control of genetic regulatory networks with multiple hard-constraints, BMC Systems Biology, 4(Suppl 2) :S14doi:10.1186/1752-0509-4-S2-S14. 2010, 4.

Cui L., Li W. and Ching W.K., On Construction of Sparse Probabilistic Boolean Networks from a Prescribed Transition Probability Matrix, In: Ding-Zhu Du and Xiang-Sun Zhang, Lecture Notes in Operations Research . 2010, 13.

Fung S.L., Ching W.K. and Siu K.T.K., A Mixture Price Trend Model for Long-Term Risk Management, In: Jue Wang and Shouyang Wang, Business Intelligence in Economic Forecasting: Technologies and Techniques. IGI Global Publisher, 2010, 157-173.

Gu J., Ching W.K. and Siu K.T.K., A Markovian Infectious Model for Dependent Default Risk, International Journal of Intelligent Engineering Informatics. 2011, 1: 174-195.

Gu J., Ching W.K. and Siu K.T.K., Best Paper Award, CSO 2011, Kunming, China. 2011.

Gu J., Ching W.K. and Siu K.T.K., On Infectious Models for Dependent Default Risk , Proceedings of the Fourth International Joint Conference on Computational Sciences and Optimization CSO2011, 15-19 April, Kunming and Lijiang, Yunnan Province, China. . IEEE Computer Society, 2011, 1196-1200.

Huang M., Lu F., Ching W.K. and Siu K.T.K., A Distributed Decision Making Model for Risk Management of Virtual Enterprise, Expert Systems with Applications. 2011, 38: 13208–13215.

Huang M., Chen K., Ching W.K. and Siu K.T.K., Principal-agent Theory Based Risk Allocation Model for Virtual Enterprise , Journal of Service Science and Management. 2010, 3: 241-249.

Huang X., Choi S.M. and Ching W.K., On Improving Incentive in a Supply Chain: Wholesale Price Contract vs Quantity Dependent Contract, The 40th International Conference on Computers and Engineering, Hyogo, Japan, 2010.. 2010.

Huang X., Choi S.M. and Ching W.K., Quantity Discount Contract for Supply Chain Coordination with False Failure Returns, the 6th International Conference on Natural Computation 2010 (ICNC'10) . 2010, 8: 4450-4454.

Jiang H., Ching W.K., Aoki-Kinoshita F. and Guo D., Delay Discrete Dynamical Models for Genetic Regulatory Networks, In: Ding-Zhu Du and Xiang-Sun Zhang, Lecture Notes in Operations Research . 2010, 9.

Jiang H. and Ching W.K., Physico-Chemically Weighted Kernel for SVM Protein Classification, The 2nd International Conference on Biomedical Engineering and Computer Science (ICBECS 2011), 23-24 April, 2011, Wuhan, China.. IEEE, 2011, 12-15.

Jiang H. and Ching W.K., Support Vector Machine for Classification of DNA Repair Genes, Proceedings of the 7th International Symposium on Bioinformatics Research and Applications (ISBRA) 27-29 May, 2011, Changsha, China. . 2011, 34-37.

Li L., Ching W.K., Chan Y.M. and Mamitsuka H., On Network-based Kernel Methods for Protein-Protein Interactions with Applications in Protein Functions Prediction, Journal of System Science and Complexity. Springer, 2010, 23: 917-930.

Li L., Zhou X., Ching W.K. and Wang P., Predicting Enzyme Targets for Cancer Drugs by Profiling Human Metabolic Reactions in NCI-60 Cell lines, BMC Bioinformatics, 11:501doi:10.1186/1471-2105-11-501.. 2010.

Song M., Huang M. and Ching W.K., Ordering and Pricing Decisions in a Closed-loop Supply Chain with Fuzzy Demand , Proceedings of CSO2011, 15-19 April, Kunming and Lijiang, Yunnan Province, China. . IEEE Computer Society, 2011, 1206-1210.

Wen Y., Ching W.K. and Ng K.P., Approximate Inverse-Free Preconditioners for Toeplitz Matrices , Applied Mathematics and Computation . 2011, 217: 6856-6867.

Xu W., Ching W.K., Zhang S., Li W. and Chen X., A Matrix Perturbation Method for Computing the Steady-state Probability Distributions of Probabilistic Boolean Networks with Gene Perturbations, Journal of Computational and Applied Mathematics. 2011, 235: 2242–2251.

Xu W., Li W., Ching W.K. and Chen Y., Backward Errors for Eigenproblem of Two Kinds of Structured Matrices, Journal of Computational and Applied Mathematics. 2010, 235: 59-73.

Zhu D. and Ching W.K., A New Estimation Method for Multivariate Markov Chain Model with Application in Demand Predictions, The 3rd International Conference on Business Intelligence and Financial Engineering (BIFE 2010) Hong Kong, August 13-15, 2010.. IEEE, 2010, 126-130.

Zhu D. and Ching W.K., A Note on the Stationary Property of High-dimensional Markov Chain Models, International Journal of Pure and Applied Mathematics. 2011, 66: 321-330.

Zhu D. and Ching W.K., Multivariate Markov Chain Models for Production Planning, International Journal of Intelligent Engineering Informatics. 2011, 1: 156-173.

Researcher : Choi SKK

List of Research Outputs

Chan T.H., Choi S.K.K. and Tsang K.M., An Extension to the Brun-Titchmarsh Theorem, Quarterly Journal of Mathematics. 2011, 62, No.2: 302-322.

Researcher : Choi SM

List of Research Outputs

Choi S.M., Huang X. and Ching W.K., Inducing Optimal Service Capacities via Performance-Based Allocation of Demand in a Queueing System with Multiple Servers, The 40th International Conference on Computers and Engineering, Hyogo, Japan, 2010.

Huang X., Choi S.M. and Ching W.K., On Improving Incentive in a Supply Chain: Wholesale Price Contract vs Quantity Dependent Contract, The 40th International Conference on Computers and Engineering, Hyogo, Japan, 2010.. 2010.

Researcher : Chu SCK

Project Title:	The 9th International Symposium on Operations Research and Its Applications (ISORA 2010) Staffing Model for Scheduling Simultaneous Interpreters under Tight Constraints
Investigator(s):	Chu SCK
Department:	Mathematics
Source(s) of Funding:	URC/CRCG - Conference Grants for Teaching Staff
Start Date:	08/2010
Completion Date:	08/2010

List of Research Outputs

Chu S.C.K., Associate editor of the IMA Journal of Management Mathematics. 2010.

Chu S.C.K., Staffing Model for Scheduling Simultaneous Interpreters under Tight Constraints, In: X.-S. Zhang, D.-G. Liu, L.-Y. Wu and Y. Wang, Proceedings of the 9th International Symposium on Operations Research and Its Applications (ISORA2010), Chengdu-Jiuzhaigou, Sicuan, China, 19-23 August 2010, Lecture Notes in Operations Research. World Publishing Corporation, 2010, 12: pp.204-214.

Chu S.C.K., Staffing Model for Scheduling Simultaneous Interpreters under Tight Constraints, The 9th International Symposium on Operations Research and its Applications (ISORA 2010), August 19-23, Chengdu-Jiuzhaigou, China. 2010.

Researcher : Cong Y

List of Research Outputs

Chen X., Ching W.K., Chen X., Cong Y. and Tsing N.K., Construction of Probabilistic Boolean Networks from a Prescribed Transition Probability Matrix: A Maximum Entropy Rate Approach , East Asian Journal of Applied Mathematics. 2011, 1: 132-154.

Cong Y., Ching W.K., Tsing N.K. and Leung H.Y., On finite-horizon control of genetic regulatory networks with multiple hard-constraints, BMC Systems Biology, 4(Suppl 2) :S14doi:10.1186/1752-0509-4-S2-S14. 2010, 4.

Researcher : Conte RMJ

List of Research Outputs

Conte R.M.J. and Ng T.W., Meromorphic solutions of a third order non-linear differential equation, Journal of Mathematical Physics. 2010, 51, no.3: 9 pages.

Researcher : Fung SL

List of Research Outputs

Fung S.L., Ching W.K. and Siu K.T.K., A Mixture Price Trend Model for Long-Term Risk Management, In: Jue Wang and Shouyang Wang, Business Intelligence in Economic Forecasting: Technologies and Techniques. IGI Global Publisher, 2010, 157-173.

Researcher : Gu J

List of Research Outputs

Gu J., Ching W.K. and Siu K.T.K., A Markovian Infectious Model for Dependent Default Risk, International Journal of Intelligent Engineering Informatics. 2011, 1: 174-195.

Gu J., Ching W.K. and Siu K.T.K., Best Paper Award, CSO 2011, Kunming, China. 2011.

Gu J., Ching W.K. and Siu K.T.K., On Infectious Models for Dependent Default Risk , Proceedings of the Fourth International Joint Conference on Computational Sciences and Optimization CSO2011, 15-19 April, Kunming and Lijiang, Yunnan Province, China. . IEEE Computer Society, 2011, 1196-1200.

Researcher : Gu J

List of Research Outputs

Gu J., Ching W.K. and Siu K.T.K., A Markovian Infectious Model for Dependent Default Risk, International Journal of Intelligent Engineering Informatics. 2011, 1: 174-195.

Gu J., Ching W.K. and Siu K.T.K., Best Paper Award, CSO 2011, Kunming, China. 2011.

Researcher : Han G

Project Title:	Entropy Rate of Hidden Markov Chains
Investigator(s):	Han G
Department:	Mathematics
Source(s) of Funding:	General Research Fund (GRF)
Start Date:	11/2008

Project Title:	2011 Information Theory and Applications Workshop Sample Entropy Rate of Hidden Markov Chains
Investigator(s):	Han G
Department:	Mathematics
Source(s) of Funding:	URC/CRCG - Conference Grants for Teaching Staff
Start Date:	02/2011
Completion Date:	02/2011

List of Research Outputs

Han G., Marcus B. and Peres Y., A note on a complex Hilbert metric with application to domain of analyticity for entropy rate of hidden Markov processes, In: B. Marcus, K. Petersen and T. Weissman, Entropy of Hidden Markov Processes and Connections to Dynamical Systems, London Mathematical Society Lecture Note Series. Cambridge, UK, Cambridge University Press, 2011, 385: 98-116.

Han G., Limit Theorems for the Sample Entropy of Hidden Markov Chains, 2011 Information Theory and Applications Workshop, University of California, San Diego . 2011.

Han G., Menger's Paths with Minimum Mergings, Department of Mathematics, University of Zurich, Switzerland. 2011.

Han G., Menger's Paths with Minimum Mergings, Zhejiang University, Hangzhou, China. 2011.

Han G., Menger's Paths with Minimum Mergings, the 6-th Workshop on Coding and Systems, Aveiro, Portugal. 2011.

Researcher : Hong J

List of Research Outputs

Hong J. and Mok N., Analytic continuation of holomorphic maps respecting varieties of minimal rational tangents and applications to rational homogeneous manifolds, Journal of Differential Geometry. 2010, 86, No.3: 539-567.

Researcher : Huang M

List of Research Outputs

Huang M., Lu F., Ching W.K. and Siu K.T.K., A Distributed Decision Making Model for Risk Management of Virtual Enterprise, Expert Systems with Applications. 2011, 38: 13208–13215.

Huang M., Chen K., Ching W.K. and Siu K.T.K., Principal-agent Theory Based Risk Allocation Model for Virtual Enterprise , Journal of Service Science and Management. 2010, 3: 241-249.

Song M., Huang M. and Ching W.K., Ordering and Pricing Decisions in a Closed-loop Supply Chain with Fuzzy Demand , Proceedings of CSO2011, 15-19 April, Kunming and Lijiang, Yunnan Province, China. . IEEE Computer Society, 2011, 1206-1210.

Researcher : Huang X

List of Research Outputs

Choi S.M., Huang X. and Ching W.K., Inducing Optimal Service Capacities via Performance-Based Allocation of Demand in a Queueing System with Multiple Servers, The 40th International Conference on Computers and Engineering, Hyogo, Japan, 2010.

Huang X., Choi S.M. and Ching W.K., On Improving Incentive in a Supply Chain: Wholesale Price Contract vs Quantity Dependent Contract, The 40th International Conference on Computers and Engineering, Hyogo, Japan, 2010.. 2010.

Huang X., Choi S.M. and Ching W.K., Quantity Discount Contract for Supply Chain Coordination with False Failure Returns, the 6th International Conference on Natural Computation 2010 (ICNC'10) . 2010, 8: 4450-4454.

Researcher : Jiang H

List of Research Outputs

Chen X., Jiang H., Ching W.K. and Li L., Inferring Functional Annotation for Human Genes from Gene-PDB Structure Mapping, the 2nd International Conference on Biomedical Engineering and Computer Science (ICBECS 2011), 23-24 April, 2011, Wuhan, China.. IEEE, 2011, 26-29.

Ching W.K., Leung H.Y., WU Z.Y. and Jiang H., Modeling Default Risk via a Hidden Markov Model of Multiple Sequences, Frontiers of Computer Science in China . 2010, 4: 187-196.

Jiang H., Ching W.K., Aoki-Kinoshita F. and Guo D., Delay Discrete Dynamical Models for Genetic Regulatory Networks, In: Ding-Zhu Du and Xiang-Sun Zhang, Lecture Notes in Operations Research . 2010, 9.

Jiang H. and Ching W.K., Physico-Chemically Weighted Kernel for SVM Protein Classification, The 2nd International Conference on Biomedical Engineering and Computer Science (ICBECS 2011), 23-24 April, 2011, Wuhan, China.. IEEE, 2011, 12-15.

Jiang H. and Ching W.K., Support Vector Machine for Classification of DNA Repair Genes, Proceedings of the 7th International Symposium on Bioinformatics Research and Applications (ISBRA) 27-29 May, 2011, Changsha, China. . 2011, 34-37.

Researcher : Jiang H

List of Research Outputs

Ching W.K., Leung H.Y., WU Z.Y. and Jiang H., Modeling Default Risk via a Hidden Markov Model of Multiple Sequences, Frontiers of Computer Science in China . 2010, 4: 187-196.

Researcher : Koziarz VJF

List of Research Outputs

Koziarz V.J.F. and Mok N., Nonexistence of holomorphic submersions between complex unit balls equivariant with respect to a lattice and their generalizations, American Journal of Mathematics. 2010, 132, No.5: 1347-1363.

Researcher : Lau YK

Project Title:	Closed Geodesics on the Modular Surface
Investigator(s):	Lau YK
Department:	Mathematics
Source(s) of Funding:	General Research Fund (GRF)
Start Date:	01/2009

List of Research Outputs

Lau Y.K., Liu J. and Wu J., Coefficients of symmetric square L-functions, Science China. Mathematics. Springer, 2010, 53: 2317-2328.

Lau Y.K., Kowalski E., Soundararajan K. and Wu J., On modular signs, Mathematical Proceedings of the Cambridge Philosophical Society. 2010, 149.

Lau Y.K., On signs of Hecke eigenvalues, Seminar on Pure Mathematics, The Hong Kong University of Science and Technology. 2010.

Lau Y.K., Wu J. and Royer E., Twisted moments of automorphic L-functions, Journal of Number Theory. 2010, 130: 2773-2802.

Researcher : Leung HY

List of Research Outputs

Ching W.K., Leung H.Y., WU Z.Y. and Jiang H., Modeling Default Risk via a Hidden Markov Model of Multiple Sequences, Frontiers of Computer Science in China . 2010, 4: 187-196.

Cong Y., Ching W.K., Tsing N.K. and Leung H.Y., On finite-horizon control of genetic regulatory networks with multiple hard-constraints, BMC Systems Biology, 4(Suppl 2) :S14doi:10.1186/1752-0509-4-S2-S14. 2010, 4.

Researcher : Li L

List of Research Outputs

Chen X., Li L., Ching W.K. and Tsing N.K., A Modified Entropy Approach for Construction of Probabilistic Boolean Networks, In: Ding-Zhu Du and Xiang-Sun Zhang, Lecture Notes in Operations Research . 2010, 13.

Chen X., Jiang H., Ching W.K. and Li L., Inferring Functional Annotation for Human Genes from Gene-PDB Structure Mapping, the 2nd International Conference on Biomedical Engineering and Computer Science (ICBECS 2011), 23-24 April, 2011, Wuhan, China.. IEEE, 2011, 26-29.

Li L., Ching W.K., Chan Y.M. and Mamitsuka H., On Network-based Kernel Methods for Protein-Protein Interactions with Applications in Protein Functions Prediction, Journal of System Science and Complexity. Springer, 2010, 23: 917-930.

Li L., Zhou X., Ching W.K. and Wang P., Predicting Enzyme Targets for Cancer Drugs by Profiling Human Metabolic Reactions in NCI-60 Cell lines, BMC Bioinformatics, 11:501doi:10.1186/1471-2105-11-501.. 2010.

Researcher : Li L

List of Research Outputs

Researcher : Li W

List of Research Outputs

Chen X., Li W. and Ching W.K., Perturbation Analysis For the Sign Functions of Regular Matrix Pairs, Numerical Linear Algebra with Applications. 2011, 18: 189-203.

Cui L., Li W. and Ching W.K., On Construction of Sparse Probabilistic Boolean Networks from a Prescribed Transition Probability Matrix, In: Ding-Zhu Du and Xiang-Sun Zhang, Lecture Notes in Operations Research . 2010, 13.

Xu W., Ching W.K., Zhang S., Li W. and Chen X., A Matrix Perturbation Method for Computing the Steady-state Probability Distributions of Probabilistic Boolean Networks with Gene Perturbations, Journal of Computational and Applied Mathematics. 2011, 235: 2242–2251.

Xu W., Li W., Ching W.K. and Chen Y., Backward Errors for Eigenproblem of Two Kinds of Structured Matrices, Journal of Computational and Applied Mathematics. 2010, 235: 59-73.

Researcher : Lu J

Project Title:	Steinberg fibers, Bruhat cells, and log-canonical coordinates
Investigator(s):	Lu J
Department:	Mathematics
Source(s) of Funding:	General Research Fund (GRF)
Start Date:	01/2008
Completion Date:	12/2010

Project Title:	Poisson structures and Frobenius splittings
Investigator(s):	Lu J
Department:	Mathematics
Source(s) of Funding:	Seed Funding Programme for Basic Research
Start Date:	06/2010

Project Title:	On the Poisson geometry of flag varieties and Bott-Samelson resolutions
Investigator(s):	Lu J
Department:	Mathematics
Source(s) of Funding:	General Research Fund (GRF)
Start Date:	12/2010

List of Research Outputs

Lu J., Editor, Pacific Journal of Mathematics. 2011.

Lu J., On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups, In: M.O. Debarre M.O. Debarre M.O. Debarre M.O. Debarre M. O. Debarre, Mathematische Zeitschrift. 2010.

Lu J., On a problem about K\G/B from Poisson geometry, In: Peter Trapa, Jeff Admas, Workshop on the Atlas of Lie groups, University of Utah, USA. 2010.

Lu J., On intersections of certain partitions of a group compactification, In: Peter Sarnak, International Mathematics Research Notices. 2010.

Lu J., On intersections of conjugacy classes and Bruhat cells , ICCM 2010, Tsinghua university, Beijing. 2010.

Lu J., On some invariants for orbits on the flag variety under a symmetric subgroup , In: Chern Institute of Mathematics, Nankai University, Tianjin, China. , International workshop on representation theory and harmonic analysis , June 5 to June 11, 2011, Chern Institute of Mathematics, Nankai University, Tianjin, China. . 2011.

Lu J., Poisson Lie groups and Poisson homogeneous spaces, School on Poisson geometry, Poisson 2010 - Poisson Geometry in Mathematics and Physics IMPA, Rio de Janeiro, de 20/07 até 30/07 . 2010.

Researcher : Mamitsuka H

List of Research Outputs

Li L., Ching W.K., Chan Y.M. and Mamitsuka H., On Network-based Kernel Methods for Protein-Protein Interactions with Applications in Protein Functions Prediction, Journal of System Science and Complexity. Springer, 2010, 23: 917-930.

Researcher : Mok N

Project Title:	Geometric problems on rational homogeneous manifolds as uniruled projective manifolds and related questions
Investigator(s):	Mok N
Department:	Mathematics
Source(s) of Funding:	General Research Fund (GRF)
Start Date:	01/2007
Completion Date:	12/2010

Project Title:	Geometric rigidity phenomena concerning bounded homogeneous domains and related problems
Investigator(s):	Mok N
Department:	Mathematics
Source(s) of Funding:	General Research Fund (GRF)
Start Date:	01/2009

Project Title:	Geometry of holomorphic maps into bounded symmetric domain
Investigator(s):	Mok N
Department:	Mathematics
Source(s) of Funding:	General Research Fund (GRF)
Start Date:	01/2011

List of Research Outputs

Hong J. and Mok N., Analytic continuation of holomorphic maps respecting varieties of minimal rational tangents and applications to rational homogeneous manifolds, Journal of Differential Geometry. 2010, 86, No.3: 539-567.

Koziarz V.J.F. and Mok N., Nonexistence of holomorphic submersions between complex unit balls equivariant with respect to a lattice and their generalizations, American Journal of Mathematics. 2010, 132, No.5: 1347-1363.

Mok N., 2009 Stefan Bergman Prize of the American Mathematical Society. 2011.

Mok N., 2011 Endowed Professorships at The University of Hong Kong - Edmund and Peggy Tse Professorship in Mathematics. 2011.

Mok N., Alexander-type extension theorems for bounded symmetric domains and applications to measure-preserving maps, International Workshop on Geometry and Analysis on Manifolds (May 20), Fudan University. 2011.

Mok N., Analytic continuation and rigidity of germs of holomorphic isometries and measure-preserving maps between bounded symmetric domains, International Conference on Geometric and Complex Analysis (July 13-15), Nanjing University . 2010.

Mok N., Boundary behavior of holomorphic maps into bounded symmetric domains and applications to geometric problems, Workshop on Complex Geometry, HKU (Jul 21-23). 2010.

Mok N., Colloquium Lecture: Holomorphic mappings between quotients of the complex unit ball, Fudan University. 2011.

Mok N., Colloquium Lecture: On the reconstruction of certain model Fano manifolds from their varieties of minimal rational tangents, Fudan University. 2011.

Mok N., Colloquium: Germs of holomorphic measure-preserving maps from a bounded symmetric domain into its Cartesian products, National University of Singapore. 2011.

Mok N., Editor of Chinese Annals of Mathematics. Springer, 2011.

Mok N., Editor of Inventiones Mathematicae. Berlin-Heidelberg-New York, Springer-Verlag, 2010.

Mok N., Editor of Journal de l' Institut de Mathématiques de Jussieu. Cambridge University Press, 2011.

Mok N., Editor of Mathematische Annalen. Berlin-Heidelberg-New York, Springer-Verlag, 2010.

Mok N., Editor of Science in China Series A: Mathematics. Science Press, co-published with Springer-Verlag, 2011.

Mok N., Germs of holomorphic isometries and measure-preserving holomorphic maps, International Workshop on Complex Geometry and Algebraic Geometry (June 30 - July 4), Shanghai Jiaotong University. 2010.

Mok N., Germs of measure-preserving holomorphic maps from a bounded symmetric domain to its Cartesian products, RTG WORKSHOPS & LECTURE SERIES - Some Topics in Geometric Function Theory of Several Complex Variables (April 1-3), University of Michigan. 2011.

Mok N., Holomorphic maps between quotients of the complex unit ball, KIAS/SNU International Conference on Complex and Symplectic Geometry on the occasion of Prof. D. Burns' 65th birthday (February 28 - March 3), Seoul National University, Korea . 2011.

Mok N., Plenary Lecture: Analytic continuation and rigidity of germs of holomorphic isometries and measure preserving maps, 18th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (18thICFIDCAA), University of Macau (August 13-17). 2010.

Mok N., Recognizing certain rational homogeneous manifolds of Picard number 1 from their varieties of minimal rational tangents, Conference Journées Complexes Lorraines (May 2-6), Institut Élie Cartan, Nancy, France. 2011.

Mok N., Reconstructing certain rational homogeneous manifolds of Picard number 1 from their varieties of minimal rational tangents, Workshop in complex and algebraic geometry (April 11-15), Chinese Academy of Sciences, Beijing. 2011.

Mok N., Techniques of Analytic Continuation in Complex Geometry related to bounded symmetric domains (I-III), Conference Dynamics and Geometry, IHP, Paris (June 20-14). 2011.

Mok N., Varieties of Minimal Rational Tangents-part II, MRC Distinguished Lecturer Series, Stanford University. 2011.

Researcher : Ng KP

Project Title:	Minimization of L1 norm/mixed L1 and L2 norms for image restoration
Investigator(s):	Ng KP
Department:	Mathematics
Source(s) of Funding:	Small Project Funding
Start Date:	11/2004

List of Research Outputs

Wen Y., Ching W.K. and Ng K.P., Approximate Inverse-Free Preconditioners for Toeplitz Matrices , Applied Mathematics and Computation . 2011, 217: 6856-6867.

Researcher : Ng SC

List of Research Outputs

Ng S.C., Holomorphic Isometric Embeddings Among Bounded Symmetric Domains, Polytechnic of Torino, Turin, Italy. 2011.

Ng S.C., On Holomorphic Isometric Embeddings of the Unit Disk into Polydisks, Proceedings of the American Mathematical Society. The United States of America, American Mathematical Society, 2010, 138: 2907-2922.

Ng S.C., On holomorphic isometric embeddings of the unit n-ball into products of two unit m-balls, Mathematische Zeitschrift. Springer, 2011, 268 (1-2): 347-354.

Ng S.C., Proper Holomorphic Maps on Bounded Symmetric Domains of Rank at least 2 and Characteristic Symmetric Subspaces, International Workshop on Complex Geometry and Algebraic Geometry, Shanghai Jiao Tong University, PRC. 2010.

Ng S.C., Rigidities in Complex Geometry , Ecole Polytechnique Federale de Lausanne, Switzerland. 2011.

Ng S.C., Rigidity in Complex Geometry, Wuhan University, Hubei, PRC. 2010.

Researcher : Ng TW

Project Title:	Factorization and complex dynamics of meromorphic functions and related topics
Investigator(s):	Ng TW
Department:	Mathematics
Source(s) of Funding:	Seed Funding for New Staff
Start Date:	10/2002

Project Title:	A double epidemic model for SARS propagation
Investigator(s):	Ng TW, Danchin ALM
Department:	Mathematics
Source(s) of Funding:	Small Project Funding
Start Date:	11/2003

Project Title:	D-companion matrices and geometry of polynomials
Investigator(s):	Ng TW, Cheung WS
Department:	Mathematics
Source(s) of Funding:	Small Project Funding
Start Date:	11/2004

Project Title:	Meromorphic solutions of algebraic differential equations
Investigator(s):	Ng TW
Department:	Mathematics
Source(s) of Funding:	General Research Fund (GRF)
Start Date:	09/2007
Completion Date:	02/2011

Project Title:	Factorizations and iterations of meromorphic functions and related topics
Investigator(s):	Ng TW
Department:	Mathematics
Source(s) of Funding:	General Research Fund (GRF)
Start Date:	01/2010

List of Research Outputs

Chow K.W. and Ng T.W., Periodic solutions of a derivative nonlinear Schrödinger equation: Elliptic integrals of the third kind, Journal of Computational and Applied Mathematics. Elsevier B.V., 2011, 235: 3825-3830.

Conte R.M.J. and Ng T.W., Meromorphic solutions of a third order non-linear differential equation, Journal of Mathematical Physics. 2010, 51, no.3: 9 pages.

Ng T.W., Arithmetic and Geometry - Number Theory Seminars: Smale's mean value conjecture and the amoebae, FIM - Institute for Mathematical Research, ETH Zurich. 2010.

Ng T.W., Award for Service Contribution 2010-11, Faculty of Science, The University of Hong Kong. 2011.

Ng T.W., Chebyshev-Blaschke Products, International Conference on Asymptotics and Special Functions, City University of Hong Kong (May 30 - Jun 3). 2011.

Ng T.W., Finding all meromorphic solutions of certian third order non-linear autonomous ODE, 18th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (18thICFIDCAA), University of Macau (August 13-17). 2010.

Ng T.W., Finding exact meromorphic solutions of the Falkner-Skan differential equation, Nanjing University. 2010.

Ng T.W. and Wang M., Ritt's theory on the unit disk, Forum Mathematicum. 2011.

Ng T.W., Two-variable Wiman-Valiron theory and its applications to PDEs, Workshop on Complex Geometry, HKU (Jul 21-23). 2010.

Researcher : Ren J

List of Research Outputs

Cheung W.S., Ren J. and Zhao D., Solvability of Quasi-Linear Multi-Point Boundary Value Problem at Resonance, Eurasian Mathematical Journal. 2010, 1, No.4: 78-94.

Ren J., Cheung W.S. and Cheng Z., Existence and Lyapunov Stability of Periodic Solutions for Generalized Higher-Order Neutral Differential Equations, Boundary Value Problems. 2011, 2011, Art. ID 635767: 21 pages.

Researcher : Siu KTK

List of Research Outputs

Fung S.L., Ching W.K. and Siu K.T.K., A Mixture Price Trend Model for Long-Term Risk Management, In: Jue Wang and Shouyang Wang, Business Intelligence in Economic Forecasting: Technologies and Techniques. IGI Global Publisher, 2010, 157-173.

Gu J., Ching W.K. and Siu K.T.K., A Markovian Infectious Model for Dependent Default Risk, International Journal of Intelligent Engineering Informatics. 2011, 1: 174-195.

Gu J., Ching W.K. and Siu K.T.K., Best Paper Award, CSO 2011, Kunming, China. 2011.

Gu J., Ching W.K. and Siu K.T.K., On Infectious Models for Dependent Default Risk , Proceedings of the Fourth International Joint Conference on Computational Sciences and Optimization CSO2011, 15-19 April, Kunming and Lijiang, Yunnan Province, China. . IEEE Computer Society, 2011, 1196-1200.

Huang M., Lu F., Ching W.K. and Siu K.T.K., A Distributed Decision Making Model for Risk Management of Virtual Enterprise, Expert Systems with Applications. 2011, 38: 13208–13215.

Huang M., Chen K., Ching W.K. and Siu K.T.K., Principal-agent Theory Based Risk Allocation Model for Virtual Enterprise , Journal of Service Science and Management. 2010, 3: 241-249.

Researcher : Siu MK

List of Research Outputs

Siu M.K., 1607, a year of (some) significance: Translation of the first European text in mathematics - Elements --- into Chinese, invited talk at the 6th European Summer University On The History And Epistemology In Mathematics Education, Vienna University of Technology, Vienna, Austria (July 19-23). 2010.

Siu M.K., Public lecture : 1607, a year of (some) significance: Translation of the first European text in mathematics - Elements --- into Chinese, invited talk at Faculty of Science, HKU (October 7). 2010.

Researcher : Tamura T

List of Research Outputs

Chen X., Akutsu T., Tamura T. and Ching W.K., Finding Optimal Control Policy in Probabilistic Boolean Networks with Hard Constraints by Using Integer Programming and Dynamic Programming, Proceedings of 2010 IEEE International Conference on Bioinformatics and Biomedicine, December Hong Kong.. 2010, 240-246.

Researcher : Tsang KM

Project Title:	A Weighted Sieve of Selberg
Investigator(s):	Tsang KM
Department:	Mathematics
Source(s) of Funding:	Seed Funding Programme for Basic Research
Start Date:	01/2007

Project Title:	Additive Equations in Primes and Almost Primes
Investigator(s):	Tsang KM
Department:	Mathematics
Source(s) of Funding:	General Research Fund (GRF)
Start Date:	05/2011

Project Title:	27th Journees Arithmetiques On a mean value theorem for the Riemann zeta-function
Investigator(s):	Tsang KM
Department:	Mathematics
Source(s) of Funding:	URC/CRCG - Conference Grants for Teaching Staff
Start Date:	06/2011
Completion Date:	07/2011

List of Research Outputs

Chan T.H., Choi S.K.K. and Tsang K.M., An Extension to the Brun-Titchmarsh Theorem, Quarterly Journal of Mathematics. 2011, 62, No.2: 302-322.

Tsang K.M., An extension to the Brun-Tithmarsh inequality, Pure Mathematics Seminar, HK University of Science and Technology. 2011.

Tsang K.M., Moscow Journal of Combinatorics and Number Theory. Moscow Institute of Physics and Technology, 2010.

Tsang K.M., Recent progress on the Dirichlet divisor problem and the mean square of the Riemann zeta-function, Science China, Mathematics. 2010, 53: 2561-2572.

Researcher : Tsing NK

List of Research Outputs

Chen X., Ching W.K., Chen X., Cong Y. and Tsing N.K., Construction of Probabilistic Boolean Networks from a Prescribed Transition Probability Matrix: A Maximum Entropy Rate Approach , East Asian Journal of Applied Mathematics. 2011, 1: 132-154.

Researcher : Wang M

List of Research Outputs

Ng T.W. and Wang M., Ritt's theory on the unit disk, Forum Mathematicum. 2011.

Researcher : Wu S

Project Title:	Morse theory and equivariant cohomology
Investigator(s):	Wu S
Department:	Mathematics
Source(s) of Funding:	Seed Funding Programme for Basic Research
Start Date:	03/2007

Project Title:	The geometry of quantisation, gerbes and Langlands dual
Investigator(s):	Wu S
Department:	Mathematics
Source(s) of Funding:	General Research Fund (GRF)
Start Date:	07/2007

Project Title:	Aspects of Twisted Analytic Torsion
Investigator(s):	Wu S
Department:	Mathematics
Source(s) of Funding:	General Research Fund (GRF)
Start Date:	01/2011

List of Research Outputs

Mathai V. and Wu S., Analytic torsion of Z2-graded elliptic complexes, Noncommutative Geometric Methods in Global Analysis (June/July 2009, Bonn) in honour of Henri Moscovici, to appear in Contemporary Math. . Providence, RI, USA, Amer. Math. Soc., 2010.

Wu S., Geometric phases in the quantisation of bosons and fermions, Journal of the Australian Mathematical Society. 2011, Cambridge University Press, 2011, 89: (to appear).

Wu S., Projective flatness in the geometric quantisation of bosons and fermions, Séminaire Analyse Complexe et Géométrie, Paris 6 et Paris 7. Paris, France, 2010.

Wu S., Projective flatness in the geometric quantisation of bosons and fermions, Workshop on the Geometry of Quantization. Cologne, Germany, 2010.

Wu S., Twisted analytic torsion, Institute of Mathematical Sciences Colloquium, Australian National University . Canberra, Australia, 2010.

Wu S., Twisted analytic torsion, University of Cologne Mathematics Colloquium. Koln, Germany, 2010.

Wu S., Twisted cohomology of A-infinity algebras, University of Sydney Algebra Seminar. Sydney, Australia, 2010.

Researcher : Xu W

List of Research Outputs

Xu W., Ching W.K., Zhang S., Li W. and Chen X., A Matrix Perturbation Method for Computing the Steady-state Probability Distributions of Probabilistic Boolean Networks with Gene Perturbations, Journal of Computational and Applied Mathematics. 2011, 235: 2242–2251.

Xu W., Li W., Ching W.K. and Chen Y., Backward Errors for Eigenproblem of Two Kinds of Structured Matrices, Journal of Computational and Applied Mathematics. 2010, 235: 59-73.

Researcher : Yu J

Project Title:	A Cancellation Problem for Free Associative Algebras
Investigator(s):	Yu J
Department:	Mathematics
Source(s) of Funding:	General Research Fund (GRF)
Start Date:	09/2007
Completion Date:	08/2010

Researcher : Yung SP

Project Title:	Optimal Mean-Variance Portfolio Selection with a Value-At-Risk Constraint
Investigator(s):	Yung SP
Department:	Mathematics
Source(s) of Funding:	Small Project Funding
Start Date:	12/2008
Completion Date:	11/2010

Project Title:	Optimal insurance problem that incorporates risk averse and risk seeking behaviours
Investigator(s):	Yung SP
Department:	Mathematics
Source(s) of Funding:	Small Project Funding
Start Date:	11/2009
Completion Date:	10/2011

Project Title:	Seeking a fast numerical algorithm for the price of discretely monitored barrier option on interest rates
Investigator(s):	Yung SP
Department:	Mathematics
Source(s) of Funding:	Small Project Funding
Start Date:	11/2010

List of Research Outputs

Yung S.P., "Mean-Variance Porfolio Selection with a Benchmark Constraint", Internation Conference in Applied Statistics and Financial Mathematics 18th December 2010, HK Poly U, HK Poly U. 2010.

Researcher : Zang W

Project Title:	Characterizations of Combinatorial Structures
Investigator(s):	Zang W
Department:	Mathematics
Source(s) of Funding:	General Research Fund (GRF)
Start Date:	01/2008
Completion Date:	12/2010

Project Title:	The Edge-Coloring Problem on Multigraphs
Investigator(s):	Zang W
Department:	Mathematics
Source(s) of Funding:	Seed Funding Programme for Basic Research
Start Date:	06/2009

Project Title:	Optimal Packing and Covering
Investigator(s):	Zang W
Department:	Mathematics
Source(s) of Funding:	General Research Fund (GRF)
Start Date:	12/2009

Project Title:	Dual Integrality on Packing and Covering: Theory and Applications
Investigator(s):	Zang W
Department:	Mathematics
Source(s) of Funding:	Matching Fund for NSFC Academic Collaboration Award
Start Date:	01/2010

List of Research Outputs

Chen G., Yu X. and Zang W., Approximating the Chromatic Index of Multigraphs, Journal of Combinatorial Optimization. New York, Springer, 2011, 21: 219-246.

Chen X., Chen Z. and Zang W., A Unified Approach to Box-Mengerian Hypergraphs, Mathematics of Operations Research. MD, USA, INFORMS, 2010, 35: 655-668.

Chen X., Chen Z. and Zang W., The paper entitled "A Unified Approach to Box-Mengerian Hypergraphs" (Math. Oper. Res. 35 (2010), 655-668, joint with X. Chen and Z. Chen) was selected as an outstanding research achievement., Academy of Mathematics and Systems Science, Chinese Academy of Sciences . 2010.

Zang W., Discrete Applied Mathematics (September 2010 -- Present). Netherlands, Elsevier, 2010.

Zang W., Optimal Packing and Covering, The Fourth National Conference on Combinatorics and Graph Theory, Xuzhou, China. 2010.

Zang W., The Maximum-Weight Stable Matching Problem: Duality and Efficiency, Atlanta Lecture Series in Combinatorics and Graph Theory, Atlanta, USA. Atlanta, USA, 2011.

Zang W., Total Dual Integrality in Some Facilicty Location Problems, The Third International Symposium on Graph Theory and Combinatorial Algorithms (GTCA'2010), Beijing. 2010.

Researcher : Zhang S

List of Research Outputs

Xu W., Ching W.K., Zhang S., Li W. and Chen X., A Matrix Perturbation Method for Computing the Steady-state Probability Distributions of Probabilistic Boolean Networks with Gene Perturbations, Journal of Computational and Applied Mathematics. 2011, 235: 2242–2251.

Researcher : Zhao C

List of Research Outputs

Chen L., Zhao C. and Cheung W.S., On Lyapunov-Type Inequalities for Two-Dimensional Nonlinear Partial Systems, Journal of Inequalities and Applications 2010. 2010, Art. ID 504982: 12 pages.

Zhao C., Chen L. .Y. and Cheung W.S., On Hilbert-Pachpatte Multiple Integral Inequalities, Journal of Inequalities and Applications. 2010, Art. ID 820857: 7 pages.

Zhao C. and Cheung W.S., On New Hilbert-Pachpatte Type Integral Inequalities, Taiwanese Journal of Mathematics. 2010, 14, No.4: 1271-1282.

Researcher : Zhao D

List of Research Outputs

Cheung W.S., Ren J. and Zhao D., Solvability of Quasi-Linear Multi-Point Boundary Value Problem at Resonance, Eurasian Mathematical Journal. 2010, 1, No.4: 78-94.

Researcher : Zhou X

List of Research Outputs

Li L., Zhou X., Ching W.K. and Wang P., Predicting Enzyme Targets for Cancer Drugs by Profiling Human Metabolic Reactions in NCI-60 Cell lines, BMC Bioinformatics, 11:501doi:10.1186/1471-2105-11-501.. 2010.

Researcher : Zhu D

List of Research Outputs

Ching W.K. and Zhu D., On High-dimensional Markov Chain Models for Categorical Data Sequences with Applications, , In: X.Q. Jin, H.W. Sun and S.W. Vong, Recent Advances in Scientific Computing and Matrix Analysis . International Press, 2011, 15-31.

Zhu D. and Ching W.K., A New Estimation Method for Multivariate Markov Chain Model with Application in Demand Predictions, The 3rd International Conference on Business Intelligence and Financial Engineering (BIFE 2010) Hong Kong, August 13-15, 2010.. IEEE, 2010, 126-130.

Zhu D. and Ching W.K., A Note on the Stationary Property of High-dimensional Markov Chain Models, International Journal of Pure and Applied Mathematics. 2011, 66: 321-330.

Zhu D. and Ching W.K., Multivariate Markov Chain Models for Production Planning, International Journal of Intelligent Engineering Informatics. 2011, 1: 156-173.

Researcher : Zhu D

List of Research Outputs

Zhu D. and Ching W.K., A Note on the Stationary Property of High-dimensional Markov Chain Models, International Journal of Pure and Applied Mathematics. 2011, 66: 321-330.

Zhu D. and Ching W.K., Multivariate Markov Chain Models for Production Planning, International Journal of Intelligent Engineering Informatics. 2011, 1: 156-173.

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