Research Output List 2005-06

Dept of Mathematics





Scholarly books, monographs and chapters

Akutsu T., Hayashida M., Ching W.K. and Ng K.P., On the Complexity of Finding Control Strategies for Boolean Networks, Advances in Bioinformatics and Computational Biology, (Editors: T. Jiang, U. Yang, Y. Chen L. Wong) Proceedings of the 4th Asia Pacific Bioinformatics Conference, 13-16 Feb, 2006, Taiwan. Imperial College Press, 2006, 3: 99-108. (Publication No. : 114591)

Ching W.K. and Ng K.P., Markov Chains : Models, Algorithms and Applications, International Series on Operations Research and Management Science. Springer, 2006, 224pp. (Publication No. : 114621)

Fung S.L., Ching W.K., Lee Y.F. and Ng K.P., A Recursive Method for Solving Haplotype Frequencies in Multiple Loci Linkage Analysis, Advances in Bioinformatics and Computational Biology, (Editors: T. Jiang, U. Yang, Y. Chen, L. Wong), Proceedings of the 4th Asia Pacific Bioinformatics Conference, 13-16 Feb, 2006, Taiwan. Imperial College Press, 2006, 3: 129-138. (Publication No. : 114590)

Wu S., Mathai-Quillen Formalism, Encyclopedia of Mathematical Physcis. Netherlands, Academic Press, 2006, 3: 390-398. (Publication No. : 123427)

Wu S., Seiberg-Witten Theory, Encyclopedia of Mathematical Physics. Netherlands, Elvester, 2006, 4: 503-511. (Publication No. : 123431)

Yu J., Gutierrez J. and Shpilrain V., Affine Algebraic Geometry, Contemparary Mathematics, Special Session On Affine Algebraic Geometry At The First Joint AMS-RSME Meeting, Seville, Spain, June 18-21, 2003. America Mathematical Society, 2005, 369: 276 pages. (Publication No. : 115415)


Journal publications

Chan R., Ma K. and Ching W.K., Boundary Value Methods for Solving Transient Solutions of Markovian Queueing Networks, Applied Mathematics and Computation. 2006, 172: 690-700. (Publication No. : 114577)

Changjian Z. and Cheung W.S., On p-Quermass integral Differences Function, Proceedings of Indian Academy of Sciences - Mathematical Sciences. 2006, 116, No.2: 1-11. (Publication No. : 119587)

Chen X. and Zang W., An Efficient Algorithm for Finding Maximum Cycle Packings in Reducible Flow Graphs, Algorithmica. New York, USA, Springer, 2006, 44: 195-211. (Publication No. : 116081)

Cheung W.S. and Ng T.W., A companion matrix approach to the study of zeros and criticalpoints of a polynomial, Journal of Mathematical Analysis and Its application. 2006, 319: 690-707. (Publication No. : 116489)

Cheung W.S., Gronwall-Bellman-Bihari Integral Inequalities and Applications to Nonlinear Volterra Integral Equation, Bulletin of Southeast Asian Mathematical Society. 2005, 29, No.3: 447-454. (Publication No. : 130962)

Cheung W.S. and Ma Q.H., On Certain New Gronwall-Ou-Iang Type Integral Inequalities in Two Variables and Their Applications, Journal of Inequalities and Applications. 2005, 2005, No.4: 347-361. (Publication No. : 102084)

Cheung W.S. and Ren J., Periodic Solutions for p-Laplacian Differential Equations with Multiple Deviating Arguments, Nonlinear Analysis. 2005, 62, No.4: 727-742. (Publication No. : 102083)

Cheung W.S., Some New Nonlinear Inequalities and Applications to Boundary Value Problems, Nonlinear Analysis. 2006, 64, No.9: 2112-2128. (Publication No. : 115354)

Cheung W.S., Ma Q.H. and Pecaric J., Some New Weighted Hardy-type Inequalities of Vector Valued Functions, Mathematical Inequalities and Applications. 2005, 8, No.2: 199-206. (Publication No. : 102081)

Ching W.K. and Lee M., A Random Walk on a Circular Path , International Journal of Mathematical Education in Science and Technology. 2005, 36: 680-683. (Publication No. : 103860)

Ching W.K., Ng K.P., Fung S.L. and Akutsu T., On Construction of Stochastic Genetic Networks Based on Gene Expression Sequences, International Journal of Neural Systems. 2005, 15: 297-310. (Publication No. : 103861)

Ching W.K., Yuen W.O., Ng K.P. and Zhang S., Optimal Pulsation Advertising Policy with Wearout Effect: A Linear Programming Approach , IMA Journal of Management Mathematics. 2006, 17: 83-96. (Publication No. : 114576)

Evens S. and Lu J., On the variety of Lagrangian subalgebras, II, In: F. Paulin (Editor-in-Chief), Annales Scientifique de L'Ecole Normale Superieure . Elsevier, 2006, 39, No. 2: 347-379. (Publication No. : 116226)

Foth P. and Lu J., Poisson structures on complex flag manifolds associated with real forms., In: Robert Guralnick (managing editor) , Transactions of the American Mathematical Society. Providence, USA, American mathematical society, 2006, 358: 1705-1714. (Publication No. : 116225)

Guo B.Z., Wang J. and Yung S.P., Boundary stabilization of a flexible manipulator with rotational inertia, Journal Differential and Integral Equations. 2005, 18, number 9: 1013-1038. (Publication No. : 109442)

Guo B.Z., Wang J. and Yung S.P., On the C_0-semigroup generation and exponential stability resulting from a shear force feedback on a rotating beam, Systems & Control Letters. 2005, 54: 557-574. (Publication No. : 109438)

Ho J.K. and Chu S.C.K., Maximum Resolution Topology for Multi-Attribute Dichotomies, INFORMATICA. 2005, 16, No.4: 557-570. (Publication No. : 116077)

Lau Y.K. and Wu J., A density theorem on automorphic L-functions and some applications, Transactions of the American Mathematical Society. American Mathematical Society, 2006, 358: 441-472. (Publication No. : 114895)

Lau Y.K. and Tsang K.M., A mean square formula for central values of twisted automorphic L-functions, Acta Arithematica. 2005, 118: 231-262. (Publication No. : 102979)

Lee R.C.H., Wong C.W., Xu C.Z., Yim L.H. and Yung S.P., A Lyapunov-type condition for robust feedback stability of delay control systems, IMA Journal of Mathematical Control and Information. 2006, 23: 97-111. (Publication No. : 124435)

Li Y. and Zang W., Differential Methods for Finding Independent Sets in Hypergraphs, SIAM Journal on Discrete Mathematics. Philadelphia, USA, SIAM, 2006, 20: 96-104. (Publication No. : 116080)

Li Y., Tang X. and Zang W., Ramsey Functions Involving K(m,n) with n Large, Discrete Mathematics. The Netherlands, North-Holland, 2005, 300: 120-128. (Publication No. : 108694)

Lin F., Ng K.P. and Ching W.K., Factorized Banded Inverse Preconditioners for Matrices with Toeplitz Structure, SIAM Journal on Scientific Computing. SIAM, 2005, 26: 1852-1870. (Publication No. : 103859)

Ren X. and Tsang K.M., On representation of integers by sums of a cube and three cubes of primes, Michigan Math. J.. 2005, 53: 571-577. (Publication No. : 115077)

Siu T., Ching W.K. and Ng K.P., Extracting Information from Spot Interest Rates and Credit Ratings using Double Higher-Order Hidden Markov Models, Computational Economics. 2005, 26: 251-284. (Publication No. : 116041)

Siu T., Ching W.K., Ng K.P. and Fung S.L., On Multivariate Credibility Approach for Portfolio Credit Risk Measurement, Quantitative Finance. 2005, 5: 543-556. (Publication No. : 114575)

Tai A.H.L., Ching W.K. and Cheung W.S., On Computing Prestige in a Network with Negative Relations, International Journal of Applied Mathematical Sciences. 2005, 2: 97-104. (Publication No. : 103858)

Tai A.H.L. and Ching W.K., On the Use of Renewal Theory in Machine Replacement Models, International Journal of Applied Mathematical Sciences. 2005, 2: 230--239. (Publication No. : 116522)

Thomas R., Yu X. and Zang W., Hamilton Paths in Toroidal Graphs, Journal of Combinatorial Theory Series B . San Diego, USA, Elsevier, Inc., 2005, 94: 214-236. (Publication No. : 116083)

Tseng S., Wang P.C., Cheung W.S. and Chen C.J., Integral Inequalities in Higher Dimensional Spaces, Zeitschrift für Analysis und ihre Anwendungen. 2005, 24, No.2: 389-400. (Publication No. : 114799)

Wang J., Xu G.Q. and Yung S.P., Exponential Stabilization of Laminated Beams with Structural Damping and Boundary Feedback Controls, SIAM J. on Control and Optimization. 2005, 44: 1575-1597. (Publication No. : 112678)

Wong P. and Wong P.P.W., Bisectional Curvature of Complements of Curves in P2, Journal of Mathematics of Kyoto University. 2005, 45, No.3: 599-625. (Publication No. : 115507)

Yu J. and Drensky V.S., Automorphisms fixing a variable of K<x,y,z>, Journal of Algebra. 2005, 291, no.1: 250-258. (Publication No. : 115351)

Yu J. and Shpilrain V., Test polynomials, retracts, and the Jacobian conjecture, Affine algebraic geometry. Providence, RI, Amer. Math. Soc., 2005, Contemp. Math. 369: 253-259. (Publication No. : 115352)

Yu J. and Drensky V., The strong Anick conjecture, Proc. Natl. Acad. Sci. USA . 2006, 103: 4836--4840. (Publication No. : 122790)

Yuen W.O., Ching W.K. and Ng K.P., A Direct Method for Solving Block-Toeplitz with Near-Circulant-Block Systems with Applications to Hybrid Manufacturing Systems, Numerical Linear Algebra with Applications. 2005, 12: 957-966. (Publication No. : 114574)


Conference papers

Cai H., Xu X., Lu J., Lichtman J., Yung S.P. and Wong S., Segment and Track Neurons in 3D by Repulsive Snake Method, Proceedings of 2005 International Symposium on Intelligent Signal Processing and Communication Systems. USA, IEEE, 2005, 529-531. (Publication No. : 112679)

Cheung W.S., Ma Q. and Pecaric J., Discrete Nonlinear Inequalities and Applications to Difference Equations, Proceedings of the 5th Annual Hawaii International Conference on Statistics, Mathematics & Related Fields, Jan 16-18, 2006. 367-376. (Publication No. : 114801)

Cheung W.S., Zhao D. and Pecaric J., Opial-Type Inequalities for Differential Operators, Proceedings of the 5th Annual Hawaii International Conference on Statistics, Mathematics & Related Fields, Jan 16-18, 2006. 377-383. (Publication No. : 114803)

Chu S.C.K., Lam S.S. and Ho J.K., Optimization Modeling DSS for Maximum Resolution Topology of Internet Data, Proceedings of the Institute of Industrial Engineers Annual Conference - 2006 Industrial Engineering Research Conference (IERC 2006), Orlando, FL, USA, 20-24 May 2006. 6 pp. (Publication No. : 116075)

Leung A.Y.L. and Chan Y.C., Exploring Necessary and Sufficient Conditions in Dynamic Geometry Environment , In: Frederica Olivero and Rosamund Sutherland, Proceedings of the 7th International Conference on Teachnology in Mathematics Teaching, Bristol, UK. Bristol, UK, University of Bristol, 2005, 1: 117-124. (Publication No. : 108111)

Siu M.K., Mathematics in teaching and teaching of mathematics, Proceedings of 4th Asian Mathematical Conference, July 2005, Singapore. 2005, (in CD-Rom). (Publication No. : 108762)

Tai A.H.L., Ching W.K. and Chan P.L.Y., Hidden Markov Model for the Detection of Machine Failure (in CD-ROM), Proceeding of the 36th International Conference on Computers and Industrial Engineering, Taiwan, June (2006) . 2006. (Publication No. : 117007)

Wen Y., Ching W.K., Ng K.P. and Liu H., A Hybrid Algorithm for Spatial and Wavelet Domain Image Restoration, Visual Communications and Image Processing 2005, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE) (Editor(s): Li SP, Pereira F, Shum HY, Tescher AG) . 2005, PTS 1-4 5960: 2004-2011: Part 1-4. (Publication No. : 114581)

Zhang S., Ng K.P., Ching W.K. and Akutsu T., A Linear Control Model for Gene Intervention in a Genetic Regulatory Network, Proceedings of IEEE International Conference on Granular Computing, Beijing, 25-27 July 2005. 1: 354-358. (Publication No. : 114580)


All other outputs

Chan K.H., Reviewer for the Physics of the Earth and Planetary Interior Journal, 2006. (Publication No. : 146904)

Cheung W.S., Reviewer of Zentralblatt Math. V.1068, No. 58008. 2005, 1068, No.58008. (Publication No. : 114850)

Cheung W.S., Reviewer of Zentralblatt Math. V.1072, No.26020. 2005, 1072, No.26020. (Publication No. : 114852)

Cheung W.S., Reviewer of Zentralblatt Math. V.1075, No. 15030. 2005, 1075, No.15030. (Publication No. : 114853)

Cheung W.S., Reviewer of Zentralblatt Math. V.1076, No. 58011. 2005, 1076, No.58011. (Publication No. : 114854)

Cheung W.S., Reviewer of Zentralblatt Math. V.1078, No.26016. 2006, 1078, No.26016. (Publication No. : 119634)

Cheung W.S., Reviewer of Zentralblatt Math. V.1078, No.26019. 2006, 1078, No.26019. (Publication No. : 119638)

Cheung W.S., Reviewer of Zentralblatt Math. V.1078, No.58002. 2006, 1078, No.58002. (Publication No. : 119641)

Cheung W.S., Reviewer of Zentralblatt Math. V.1078, No.58003. 2006, 1078, No.58003. (Publication No. : 119639)

Cheung W.S., Reviewer of Zentralblatt Math. V.1084, No.26018. 2006, 1084, No.26018. (Publication No. : 119642)

Cheung W.S., Reviewer of Zentralblatt Math. V.1085, No.26015. 2006, 1085, No.26015. (Publication No. : 119644)

Cheung W.S., Reviewer of Zentralblatt Math. V.1085, No.26016. 2006, 1085, No.26016. (Publication No. : 119643)

Chow A.S.H., A Poisson structure on the complex projective space, HKU Mphil Thesis. 2005. (Publication No. : 116229)

Lau Y.K., Reviewer of Zentralblatt Math. V. 1076, No. 11049 . 2006, 1076, No. 11049. (Publication No. : 116473)

So B.K., On some examples of Poisson homology and cohomology--analytic and Lie theoretic approaches, HKU Mphil Thesis. 2005. (Publication No. : 116230)

Yu J., Organizer: International Algebra Research Programme, May 22-June 10, Peking University, Beijing. 2006. (Publication No. : 115382)

Yu J., Organizer: Joint AMS/TMS Special Session on 'Affine Algebraic Geometry', December 14-18, Taichung, Taiwan. 2005. (Publication No. : 115376)

Yu J., Organizer: Workshop on Algebra and Mathematical Physics, May 16, USTC-SIAS, Shanghai. 2006. (Publication No. : 115381)


Editorship, Invited lectures and keynote speeches

Bai Z., Ching W.K. and Ng K.P., Special Issue on Scientific Computing, Invited Editor of Vol. 172, of Journal of Applied Mathematics and Computations. Elsevier Publisher, 2006, 172(2): 153-160. (Publication No. : 114582)

Cheung W.S., Discrete Nonlinear Inequalities and Applications to Difference Equations, 2006 Hawaii International Conference on Statistics, Mathematics, and Related Fields, Hawaii, Jan 2006. (Publication No. : 124866)

Cheung W.S., Editor of Australian Journal of Mathematical Analysis and Applications. 2006. (Publication No. : 115506)

Cheung W.S., Editor of Journal of Inequalities in Pure and Applied Mathematics. 2006. (Publication No. : 114806)

Cheung W.S., Editor of the Bulletin of Southeast Asian Mathematical Society. 2006. (Publication No. : 116040)

Cheung W.S., Gronwall-Bellman-Ou-Iang-type Inequalities and Applications to BVP, Conference on Differential and Difference Equations and Applications, Florida, USA, 8/2005. Florida, USA. (Publication No. : 100193)

Ching W.K., Associate Ediotor of Journal of Applied Mathematics and Decision Sciences. Hindawi Publishing Corporation, 2006. (Publication No. : 114900)

Ching W.K., Editor-in-Chief of Journal of Mathematical Modelling and Applied Computing. Research India Punlications, 2006. (Publication No. : 116524)

Ching W.K., On Multi-dimensional Markov Chain Models,, The Second International Conference on Structured Matrices, Hong Kong, China.. 2006. (Publication No. : 116523)

Chu S.C.K., Associate editor of the IMA Journal of Management Mathematics. 2005. (Publication No. : 116102)

Lau Y.K., Subconvexity estimates for Rankin-Selberg L-functions, Workshop on Number Theory and Applications. 2005. (Publication No. : 114896)

Lu J., Double cosets in algebraic groups and Poisson geometry, In: Organizers: A. Alekseev etc, Symposium Lie groups: from toplogy to arithmetics, in memory of Armand Borel, ETH-Zurich and University of Geneva. 2005. (Publication No. : 116231)

Lu J., Editorial board, In: Editors-in-Chief: C. Molitor-Braun, N. Poncin, Travaux Mathematiques. 2006. (Publication No. : 116227)

Lu J., Examples of Poisson varieties associated to semi-simple groups, In: Organizers: Zung, etc, Summer school and conference on Poisson geometry, ICTP, Trieste, Italy. 2005. (Publication No. : 116232)

Lu J., Introduction to Poisson geometry and Lie theory, In: Y. maeda, Pathway lecture series, Center for Integrative Mathematical Science, Keio University, Yokohama, Japan. 2005. (Publication No. : 116228)

Lu J., Pacific Journal of Mathematics. 2006. (Publication No. : 127914)

Lu J., Some aspects of a Poisson structure on a complex semi-simple Lie group, In: Organizers: Y. Maeda et, Poisson 2006: Poisson geometry in Mathematics and Physics, June 5-9, 2006, Tokyo, Japan. 2006. (Publication No. : 116233)

Mok N., Editor of Chinese Annals of Mathematics. Springer, 2006. (Publication No. : 115505)

Mok N., Editor of Inventiones Mathematicae. Berlin-Heidelberg-New York, Springer-Verlag, 2005. (Publication No. : 114904)

Mok N., Editor of Mathematische Annalen. Berlin-Heidelberg-New York, Springer-Verlag, 2005. (Publication No. : 114905)

Mok N., Extension of germs of holomorphic isometries with respect to the Bergman metric, Special Day on Differential Geometry and Rigidity at the Columbia University, USA. 2006. (Publication No. : 129534)

Mok N., Extension of local holomorphic isometries with respect to the Bergman metric, International Conference on Calculus of Variations, PDEs and Nonlinear Analysis at Peking University. 2006. (Publication No. : 129537)

Mok N., Extremal bounded holomorphic functions and rigidity results for holomorphic maps on bounded symmetric domains of rank ≥ 2, 2006 Beijing – International Conference on Several Complex Variables, Chinese Academy of Sciences, Beijing. 2006. (Publication No. : 129538)

Mok N., Geometry of the Bergman metric and local holomorpoihc isometries between bounded symmetric domains, Asian Mathematical Conference at the National University of Singapore. 2005. (Publication No. : 141183)

Mok N., Global extensions of local holomorphic isometries with respect to the Bergman metric, Workshop Complex Geometry "Globalen Methoden der Komplexer Geometrie" at the Universität Marburg, Germany. 2005. (Publication No. : 141184)

Mok N., Holomorphic vector fields and deformation rigidity, Geometric Analysis Seminar at Princeton University, USA. 2006. (Publication No. : 129532)

Mok N., Holomorphic vector fields and deformation rigidity, KIAS Workshop on Rational Curves on Algebraic Varieties, Seoul. 2006. (Publication No. : 129536)

Mok N., Variety of miminal rational tangents–a geometric theory of Fano manifolds, Geometry/Analysis Seminar at Columbia University, USA. 2006. (Publication No. : 129535)

Ng T.W., On Briot-Bouquet differential equations, Centre for Mathematical Studies, University of Cambridge. 2006. (Publication No. : 116490)

Ng T.W., On Briot-Bouquet differential equations, Workshop on Complex Analysis, Tsinghua University. 2006. (Publication No. : 116491)

Ng T.W., On Briot-Bouquet differential equations, Workshop on Complex and Algebraic Geometry, HKU. 2005. (Publication No. : 104973)

Ng T.W., Residual Julia sets of meromorphic functions, The 13th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, Shantou University, China. 2005. (Publication No. : 104821)

Tsang K.M., Almost prime k-tuples, Annual General Meeting of the Hong Kong Mathematical Society 2006, City University of Hong Kong. 2006. (Publication No. : 122417)

Tsang K.M., Error terms of some arithmetical functions in number theory, School of Mathematics and System Sciences, Shandong University. 2005. (Publication No. : 112475)

Wu S., Fiber Integration of Deligne Cohomology Classes, Noncommutative Geometry 2006 Kyoto, Kyoto, Japan. 2006. (Publication No. : 123424)

Wu S., Projective Flatness in the Quantisation of Bosons and Fermions, Geometry and Analysis Workshop, Chern Institute of Mathematics, Tianjin, China. 2005. (Publication No. : 123435)

Wu S., Projective Flatness in the Quantisation of Bosons and Fermions, International Workshop on Noncommutative Geometry and Physics, Sendai, Japan. 2005. (Publication No. : 123434)

Wu S., Some Remarks on Homological Algebra and Gerbes, International Workshop on Noncommutative Geometry and Physics, Beijing, China. 2005. (Publication No. : 123421)

Yu J., Editor of International Journal of Mathematics: Game Theory and Algebra . 2006. (Publication No. : 114903)

Yu J., Editor of Serdica. Mathematical Journal. 2005. (Publication No. : 115349)

Yu J., Invited Speaker: 70-year Anniversary Meeting of the Chinese Mathematical Society, Weihai, China, July 24-29. Weihai, China, 2005. (Publication No. : 115374)

Yu J., Invited Speaker: Asian Mathematical Conference, Singapore, July 19-23. Singapore, 2005. (Publication No. : 115373)

Yung S.P., Repulsive Snake Model for Segmentations and 3D Trackings of Axons, The 2nd International Conference on Scientific Computing and Partial Differential Equations & The First East Asia SIAM Symposium . 2005. (Publication No. : 125141)

Zang W., A Min-Max Relation on Packing Feedback Vertex Sets, INFORMS International, Hong Kong, China. 2006. (Publication No. : 123017)

Zang W., In: Series Editor, Algorithm Theory and Applications. China, Higher Education Publisher, 2006. (Publication No. : 123068)

Zang W., Bonds with Parity Constraints, International Conference on Graph Structure Theory, Wuhan, China. 2005. (Publication No. : 108752)

Zang W., Bonds with Parity Constraints, Third Pacific Rim Conference on Mathematics, Shanghai, China. 2005. (Publication No. : 108750)

Zang W., Guest Editor, Discrete Mathematics. The Netherlands, North-Holland, 2005, on-going. (Publication No. : 108703)

Zang W., The Graphical Traveling Salesman Problem and a Related Integral Polyhedron, INFORMS International, Hong Kong, China . 2006. (Publication No. : 123020)


Prizes and awards

Chen G., Gao Z., Yu X. and Zang W., "Approximating the Longest Cycle Problem on Graphs with bounded degree" was awarded the Hao Wang Prize (the best paper award), The 11th Annual International Computing and Combinatorics Conference (COCOON2005). 2005. (Publication No. : 108742)



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