DEPT OF MATHEMATICS
| Researcher : Chan KH |
| 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 and dynamo in a triaxial ellipsoidal cavity driven by libration., The Third Beijing Earth & Planetary Interior Symposium (BEPIS), Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, China. 2013. |
| Chan K.H., Zhang K. and Liao X., Fluid motion in non-uniformly rotating planetary cores: mathematical theory and numerical simulation., The Asia Oceania Geosciences Society (AOGS) -- American Geophysical Union (AGU) Joint Assembly 2012. 2012. |
| Chan K.H., Reviewer for Journal of Computational and Applied Mathematics (Jan 2013), Journal of Computational and Applied Mathematics. 2013. |
| Chan K.H., Reviewer for Journal of Fluid Mechanics (Jun 2013), Journal of Fluid Mechanics. 2013. |
| Zhang K., Chan K.H., Liao X. and Aurnou J., The non-resonant response of fluid in a rapidly rotating sphere undergoing longitudinal libration., In: M. G. Worster, C. Meneveau, P. F. Linden, Journal of Fluid Mechanics. Cambridge, Cambridge University Press, 2013, 720: 212-235. |
| Researcher : Chen X |
| 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, International Journal of Data Mining and Bioinformatics . 2013, 7: 322-343. |
| Chen X., Jiang H., Qiu Y. and Ching W.K., On Optimal Control Policy for Probabilistic Boolean Network : A State Reduction Approach, (2012), 6 (Suppl 1):S8. , BMC Systems Biology . 2012, 6 (Suppl 1):S8. |
| Jiang H., Chen X., Qiu Y. and Ching W.K., On Generating Optimal Probabilistic Boolean Networks from a Set of Sparse Matrices, East Asian Journal of Applied Mathematic. 2012, 2: 353-372. |
| 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: | 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 |
| Cheung W.S. and Zhao C., An Inequality for the Mixed Discriminant of a Matrix, Far East Journal of Mathematical Sciences. 2012, 62, No.1: 89-95. |
| Cheung W.S. and Li Q., An Opial-Type Inequality in Time Scales, Abstract and Applied Analysis. 2013, 2013, Art. ID 534083: 5 pages. |
| Cheung W.S., Associate Editor, Journal of Inequalities and Applications. 2012. |
| Cheung W.S., Editor of Australian Journal of Mathematical Analysis and Applications. 2013. |
| Cheung W.S., Editor of Journal Abstract and Applied Analysis. 2012. |
| Cheung W.S., Editor of Journal of Inequalities in Pure and Applied Mathematics. 2013. |
| Cheung W.S., Editor of the Bulletin of Southeast Asian Mathematical Society. 2013. |
| Cheung W.S., Editor, Asian European Journal of Mathematics. 2012. |
| Cheung W.S. and Li Q., Interval Oscillation Criteria for Second-Order Forced Delay Differential Equations under Impulse Effects, Electronic Journal of Differential Equations. 2013, 2013, No.43: 1-11. |
| Cheung W.S., Leng G., Pecaric J. and Zhao D., On Bohr's Inequalities, in Nonlinear Analysis-Stability, Approximation, and Inequalities, in honor of Themistocles M. Rassias on the occasion of his 60th birthday. Springer Optimization and Its Applications, 2012, 68. |
| Cheung W.S. and Zhao C., On Hilbert Type Inequalities, Journal of Inequalities and Applications. 2012, 2012: 145. |
| Cheung W.S. and Zhao C., On Opial Inequalities Involving Higher Order Derivatives, Bulletin of the Korean Mathematical Society. 2012, 49, No.6: 1263-1274. |
| Cheung W.S. and Zhao C., On Opial's Type Inequalities for An Integral Operator with Homogeneous Kernel, Journal of Inequalities and Applications. 2012, 2012: 123. |
| Cheung W.S. and Zhao C., On Opial-Type Inequalities with Higher Order Partial Derivatives, Applied Mathematics Letters. 2012, 25: 2156-2161. |
| Cheung W.S. and Zhao C., On Subdividing of Hölder's Inequality, Far East Journal of Mathematical Sciences. 2012, 60, No.1: 101-108. |
| Cheung W.S. and Zhao C., On the Hermite-Hadamard Type Inequalities, Journal of Inequalities and Applications. 2013, 2013: 228. |
| Cheung W.S. and Zhao C., On the Quermassintegrals of Convex Bodies, Journal of Inequalities and Applications. 2013, 2013: 264. |
| Cheung W.S., Zhao C. and Chen L.Y., Polar Duals of Convex and Star Bodies, Journal of Inequalities and Applications. 2012, 2012: 90. |
| Cheung W.S., Reviewer of Zentralblatt Math. V.1243, No.26007. 2012. |
| Cheung W.S., Reviewer of Zentralblatt Math. V.1243, No.26008. 2012. |
| Cheung W.S., Top 1% in ISI's Essential Science Indicators 2012, 2012. |
| Researcher : Ching WK |
| 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 |
| Completion Date: | 12/2012 |
| Project Title: | Higher-order Markov-switching Models with Applications |
| Investigator(s): | Ching WK |
| Department: | Mathematics |
| Source(s) of Funding: | Seed Funding Programme for Basic Research |
| Start Date: | 01/2012 |
| Project Title: | Probabilistic Boolean Networks : Construction and Control |
| Investigator(s): | Ching WK |
| Department: | Mathematics |
| Source(s) of Funding: | Small Project Funding |
| Start Date: | 01/2013 |
| Project Title: | HKU Overseas Fellowship Awards 2013-14 |
| Investigator(s): | Ching WK |
| Department: | Mathematics |
| Source(s) of Funding: | HKU Overseas Fellowship Awards |
| Start Date: | 05/2013 |
| 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, International Journal of Data Mining and Bioinformatics . 2013, 7: 322-343. |
| Chen X., Jiang H., Qiu Y. and Ching W.K., On Optimal Control Policy for Probabilistic Boolean Network : A State Reduction Approach, (2012), 6 (Suppl 1):S8. , BMC Systems Biology . 2012, 6 (Suppl 1):S8. |
| Ching W.K., HMMs: Models, Algorithms and Applications, Department of Mathematics, Imperial College, London, UK.. 2013. |
| Ching W.K., High-dimensional Markov Chain Models for Categorical Data Sequences with Applications (Keynote Speech), The Fidth international Conference on Business Intelligence and Financial Engineering, Lanzhou, 18-21 August, 2012. 2012. |
| Ching W.K., High-dimensional Markov Chain Models for Categorical Data Sequences with Applications, Shool of Mathematics, Kunming University of Science and Technology, Kunming, China. 2013. |
| Ching W.K., Interactive High-Order Hidden Markov Model and Its Application, The Fourth Workshop on Numerical Algebra and High Performance Computing, 8-10 Dec. 2012, Macau . 2012. |
| Ching W.K., Huang X., Ng M. and Siu T., Markov Chains: Models, Algorithms and Applications, Springer international series in operations research and management science. 2013. |
| Ching W.K., On Modeling Credit Default: A Probabilistic Boolean Network Approach, AMSS-PolyU Joint Research Institute, Workshop on Stochastic Control and Financial Applications, Hong Kong.. 2012. |
| Ching W.K., The Best Paper Award, BIFE 2012, Lanzhou, China. 2012. |
| Ching W.K., The Best Paper Award, ISB 2012, Xian, China. 2012. |
| Ching W.K., The University of Hong Kong Overseas Fellowship Award (2013), The University of Hong Kong. 2013. |
| Huang M., G C.H.E.N., C X.U. and Ching W.K., Contract Design of Virtual Enterprise with Downside Risk-Averse Partners, Asian Conference of Management Science and Applications (ACMSA2012), 7-10, Sept. 2012, Jiuzhaigou-Chengdu, Sichuan, China.. 2012. |
| Jiang H., Ching W.K., Aoki-Kinoshita K. and Guo D., Modeling Genetic Regulatory Networks: A Delay Discrete Dynamical Model Approach, Journal of Systems Science & Complexity. 2012, 25: 1052-1067. |
| Jiang H. and Ching W.K., Correlation Kernels for Support Vector Machines Classification with Applications in Cancer Data , Computational and Mathematical Methods in Medicine. 2012, Article ID 205025. |
| Jiang H., Ching W.K. and Chu D., Discriminant Analysis in Pairwise Kernel Learning for SVM Classification , International Journal of Bioinformatics Research and Applications. 2012, 8: 305-321. |
| Jiang H., Chen X., Qiu Y. and Ching W.K., On Generating Optimal Probabilistic Boolean Networks from a Set of Sparse Matrices, East Asian Journal of Applied Mathematic. 2012, 2: 353-372. |
| Jiang H. and Ching W.K., The Role of Eigen-matrix Translation in Classification of Biological Datasets, IEEE International Conference on Bioinformatics & Biomedicine (BIBM 2012), Philadelphia, U.S., 4-7 October, 2012.. 2012. |
| Li L., Jiang H., Ching W.K. and Vassiliadis V., Metabolite Biomarker Discovery For Metabolic Diseases By Flux Analysis, The 6th IEEE International Conference on Systems Biology (ISB 2012), 18-20 August, 2012, Xian China. 2012, 1-5. |
| Li W., Jiang L., Ching W.K. and Cui L., On Perturbation Bounds for the Joint Stationary Distribution of Multivariate Markov Chain Models, East Asian Journal on Applied Mathematics. 2013, 3: 1-17. |
| Lu F., Huang M., Ching W.K. and Siu T., Credit portfolio management using two-level particle swarm optimization , Information Sciences. 2013, 237: 162-175. |
| Song N., Siu K.T.K., Fard F., Ching W.K. and Fung E., Risk Measures and Behaviors for Bonds Under Stochastic Interest Rate Models, Mathematical and Computer Modelling. 2012, 56: 204-217. |
| Song N., Ching W.K., Zhu D. and Siu K.T.K., Asset Allocation Under Markovian Regime-Switching Models, Proceedings of the 5th International Conference on Business Intelligence and Financial Engineering (BIFE 2012), 18-21 August, 2012, Lanzhou and Tunhuang, China, 2012.. 2012, 144-148. |
| Song N., Ching W.K., Siu T.K. and Yiu C., On Optimal Cash Management under a Stochastic Volatility Model, East Asian Journal on Applied Mathematics . 2013, 3: 81-92. |
| Researcher : Chu SCK |
| List of Research Outputs |
| Chu S.C.K., Associate editor of the IMA Journal of Management Mathematics. 2012. |
| Researcher : Fullwood Jr JA |
| List of Research Outputs |
| Fullwood Jr J.A. and van Hoeij Mark M.V.H., On Hirzebruch invariants of elliptic fibrations, In: Jonathan Block, University of Pennsylvania, Jacques Distler, University of Texas at Austin, Ron Donagi, University of Pennsylvania, and Eric Sharpe, Virginia Tech, String Math 2011. US, AMS, 2012, PSPUM/85: 355-367. |
| Researcher : HUI MW |
| List of Research Outputs |
| HUI M.W. and Wong P.P.W., Non-classical polar unitals in finite Figueroa planes, Journal of Geometry. Birkhauser, 2012, 103 Issue 2: 263-273. |
| Researcher : Han G |
| Project Title: | On a Generalized Blahut-Arimoto Algorithm |
| Investigator(s): | Han G |
| Department: | Mathematics |
| Source(s) of Funding: | Seed Funding Programme for Basic Research |
| Start Date: | 05/2012 |
| Project Title: | 2013 Information Theory and Applications Workshop; A randomized approach to the capacity of finite-state channels |
| Investigator(s): | Han G |
| Department: | Mathematics |
| Source(s) of Funding: | URC/CRCG - Conference Support for Teaching Staff |
| Start Date: | 02/2013 |
| Project Title: | On Generalizing Menger's Theorem |
| Investigator(s): | Han G |
| Department: | Mathematics |
| Source(s) of Funding: | Seed Funding Programme for Basic Research |
| Start Date: | 05/2013 |
| List of Research Outputs |
| Han G., A Graph Theoretical Approach to Network Encoding Complexity, The 20th International Symposium on Mathematical Theory of Networks and Systems, Melbourne, Australia. 2012. |
| Han G., Limit theorems in hidden Markov models, IEEE Transactions on Information Theory. 2013, 59: 1311-1328. |
| Han G., The Refinements of the Shannon-McMillan-Breiman Theorem, Department of Computer Science, Fudan University. 2013. |
| Han G., The Refinements of the Shannon-McMillan-Breiman Theorem, The Second Pacific Rim Mathematical Association Congress, Shanghai,. 2013. |
| Han G., served as a member in technical program committee in 7th International Conference on Queueing Theory and Network Applications, Tokyo, Japan, 2012. |
| Xu L., Shang W. and Han G., A Graph Theoretical Approach to Network Encoding Complexity, The International Symposium on Information Theory and its Applications. 2012. |
| Researcher : Huang X |
| List of Research Outputs |
| Ching W.K., Huang X., Ng M. and Siu T., Markov Chains: Models, Algorithms and Applications, Springer international series in operations research and management science. 2013. |
| Researcher : Jiang H |
| List of Research Outputs |
| Chen X., Jiang H., Qiu Y. and Ching W.K., On Optimal Control Policy for Probabilistic Boolean Network : A State Reduction Approach, (2012), 6 (Suppl 1):S8. , BMC Systems Biology . 2012, 6 (Suppl 1):S8. |
| Jiang H., Ching W.K., Aoki-Kinoshita K. and Guo D., Modeling Genetic Regulatory Networks: A Delay Discrete Dynamical Model Approach, Journal of Systems Science & Complexity. 2012, 25: 1052-1067. |
| Jiang H. and Ching W.K., Correlation Kernels for Support Vector Machines Classification with Applications in Cancer Data , Computational and Mathematical Methods in Medicine. 2012, Article ID 205025. |
| Jiang H., Ching W.K. and Chu D., Discriminant Analysis in Pairwise Kernel Learning for SVM Classification , International Journal of Bioinformatics Research and Applications. 2012, 8: 305-321. |
| Jiang H., Chen X., Qiu Y. and Ching W.K., On Generating Optimal Probabilistic Boolean Networks from a Set of Sparse Matrices, East Asian Journal of Applied Mathematic. 2012, 2: 353-372. |
| Jiang H. and Ching W.K., The Role of Eigen-matrix Translation in Classification of Biological Datasets, IEEE International Conference on Bioinformatics & Biomedicine (BIBM 2012), Philadelphia, U.S., 4-7 October, 2012.. 2012. |
| Li L., Jiang H., Ching W.K. and Vassiliadis V., Metabolite Biomarker Discovery For Metabolic Diseases By Flux Analysis, The 6th IEEE International Conference on Systems Biology (ISB 2012), 18-20 August, 2012, Xian China. 2012, 1-5. |
| Researcher : Lau YK |
| Project Title: | Correlations of Fourier coefficients of primitive forms |
| Investigator(s): | Lau YK |
| Department: | Mathematics |
| Source(s) of Funding: | Small Project Funding |
| Start Date: | 05/2012 |
| Project Title: | Trace Formulas and Their Applications |
| Investigator(s): | Lau YK |
| Department: | Mathematics |
| Source(s) of Funding: | France/Hong Kong Joint Research Scheme - Travel Grants |
| Start Date: | 01/2013 |
| List of Research Outputs |
| Lau Y.K., A generalization of the rank lowering operator, Third Conference of Tsinghua Sanya International Mathematics Forum (TSIMF). 2013. |
| Lau Y.K., Kohnen W. and Wu J., Fourier coefficients of cusp forms of half-integral weight, Mathematische Zeitschrift. 2013, 273: 29-41. |
| Lau Y.K., Tenenbaum G. and Wu J., On mean values of random multiplicative functions, Proceedings of the American Mathematical Society. American Mathematical Society, 2013, 141: 409-420. |
| Lau Y.K., Reviewer of Zentralblatt Math. V. 1247, No. 11077, 2013. |
| Lau Y.K., Reviewer of Zentralblatt Math. V. 1263, No. 11089, 2013. |
| Lau Y.K., The vertical Sato-Tate conjecture, China-France Summer School on Number Theory. Weihai, China, 2012. |
| Researcher : Law KH |
| List of Research Outputs |
| Hu Z., Law K.H. and Zang W., An Optimal Binding Number Condition for Bipancyclism, Journal of Discrete Mathematics. 2013, 27: 597-618. |
| Law K.H., Numbers Save the Day. Pearson, 2012. |
| Researcher : Li L |
| List of Research Outputs |
| Li L., Jiang H., Ching W.K. and Vassiliadis V., Metabolite Biomarker Discovery For Metabolic Diseases By Flux Analysis, The 6th IEEE International Conference on Systems Biology (ISB 2012), 18-20 August, 2012, Xian China. 2012, 1-5. |
| Researcher : Li Q |
| List of Research Outputs |
| Cheung W.S. and Li Q., An Opial-Type Inequality in Time Scales, Abstract and Applied Analysis. 2013, 2013, Art. ID 534083: 5 pages. |
| Cheung W.S. and Li Q., Interval Oscillation Criteria for Second-Order Forced Delay Differential Equations under Impulse Effects, Electronic Journal of Differential Equations. 2013, 2013, No.43: 1-11. |
| Researcher : Liu F |
| List of Research Outputs |
| Cheung K.C., Liu F. and Yam S.C.P., Average Value-at-Risk Minimizing Reinsurance under Wang's Premium Principle with Constraints, ASTIN Bulletin. 2012, 42: 575-600. |
| Researcher : Lu J |
| 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 |
| Project Title: | Poisson structures and Frobenius splittings |
| Investigator(s): | Lu J |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2013 |
| List of Research Outputs |
| Lu J., Editor, Pacific Journal of mathematics. 2013. |
| Lu J., On A Class Of Poisosn Polynomial Algebras, Higher Structures In Mathematics, Changchun, August 2012. 2012. |
| Lu J., On a Poisson structure on Bott-Samelson varieties, Poisson 2012, Utrecht, the Netherlands, . 2012. |
| Researcher : Mok N |
| 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 |
| Completion Date: | 12/2012 |
| 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 |
| Project Title: | Distinguished Research Achievement Award 2010-11 |
| Investigator(s): | Mok N |
| Department: | Mathematics |
| Source(s) of Funding: | Distinguished Research Achievement Award |
| Start Date: | 12/2011 |
| Project Title: | Rigidity phenomena arising from varieties of minimal rational tangents and related problems |
| Investigator(s): | Mok N |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2013 |
| List of Research Outputs |
| Mok N. and Hong J., Characterization of smooth Schubert varieties in rational homogeneous manifolds of Picard number 1, Journal of Algebraic Geometry. 2013, 22, No.2: 333-362. |
| Mok N., Editor of Chinese Annals of Mathematics. Springer, 2013. |
| Mok N., Editor of Inventiones Mathematicae. Berlin-Heidelberg-New York, Springer-Verlag, 2012. |
| Mok N., Editor of Journal de l' Institut de Mathématiques de Jussieu. Cambridge University Press, 2013. |
| Mok N., Editor of Mathematische Annalen. Berlin-Heidelberg-New York, Springer-Verlag, 2012. |
| Mok N., Editor of Science in China Series A: Mathematics. Science Press, co-published with Springer-Verlag, 2013. |
| Mok N., Extension of germs of holomorphic isometries up to normalizing constants with respect to the Bergman metric, Journal of the European Mathematical Society. 2012, 14: 1617–1656. |
| Mok N., Germs of measure-preserving holomorphic maps from bounded symmetric domains to their Cartesian products, ETH Zürich - Arithmetic and Geometry - Number Theory Seminars (Spring Semester 2013), Switzerland. 2013. |
| Mok N., Plenary Lecture: Holomorphic isometries on bounded domains, ETH Zürich - Arithmetic and Geometry - ProDoc Seminar, Switzerland. 2013. |
| Mok N., Plenary Lecture: On a geometric analogue of the André-Oort Conjecture, Conference on Arithmetic and Geometry: 25 Years Number Theory Seminars, ETH (Swiss Federal Institute of Technology), Zürich, Switzerland (June 3 - 7). 2013. |
| Mok N., Plenary Lecture: On the Zariski closure of a germ of geodesic complex submanifold of an arithmetic variety, Conference on Complex Geometry in memory of Hans Grauert, Gottingen, Germany (September 17 - 20). 2012. |
| Mok N., Plenary Lecture: On the Zariski closure of a germ of totally geodesic complex submanifold on a finite-volume quotient of a bounded symmetric domain, Workshop Rigidity and Uniformization in Complex Geometry, KIAS, Seoul, Korea (April 22-26). 2013. |
| Mok N., Plenary Lecture: On the Zariski closure of a germ of totally geodesic complex submanifold on an arithmetic variety, International Workshop on Several Complex Variables and Complex Geometry, Academia Sinica, Taipei (July 9-13). 2012. |
| Mok N., Plenary Lecture: Zariski closures of germs of totally geodesic complex sub manifolds on Hermitian locally symmetric manifolds, International Conference on Differential Geometry, Fudan University, Shanghai (September 2012) . 2012. |
| Mok N., Projective Algebraicity of Minimal Compactifications of Complex-Hyperbolic Space Forms of Finite Volume, Perspectives in Analysis, Geometry, and Topology Progress in Mathematics. New York, Birkhäuser Springer, 2012, 296: 331-354. |
| 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 |
| 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: | Smales inequalities for polynomials and related problems' |
| Investigator(s): | Ng TW |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2012 |
| Project Title: | Vector valued Nevanlinna theory and systems of algebraic differential equations |
| Investigator(s): | Ng TW |
| Department: | Mathematics |
| Source(s) of Funding: | France/Hong Kong Joint Research Scheme - Travel Grants |
| Start Date: | 01/2012 |
| List of Research Outputs |
| Ng T.W., Associate Editor, The Bulletin of the Australian Mathematical Society . Cambridge University Press, 2013. |
| Ng T.W., Associate editor , Journal of Complex Analysis . Hindawi Publishing Corporation,, 2013. |
| Ng T.W., Borcea's variance conjecture on the critical points of polynomials, Analysis Seminar, City University of Hong Kong (31 July) . 2012. |
| Ng T.W., Borcea's variance conjecture on the critical points of polynomials, Workshop on Complex Geometry, HKU (26-28 July).. 2012. |
| Ng T.W., Borcea’s variance conjecture on the critical points of polynomials, Computational Methods and Function Theory (Shatou, 10-14 June). 2013. |
| Ng T.W., On Finite Blaschke Products Sharing Preimages of Sets,, Conference on Complex Geometry (25-28 June, HKU).. 2013. |
| Ng T.W., On Finite Blaschke Products Sharing Preimages of Sets, The role of complex analysis in complex dynamics in ICMS(20-25 May 2013) at The University of Edinburgh. 2013. |
| Ng T.W. and TSANG C.Y., Polynomials versus finite Blaschke products, In: Javad Mashreghi and Emmanuel Fricain , Blaschke products and their applications at Fields Institute. New York, Springer, 2013, 65: 249-274. |
| Ng T.W., Zeros distribution of derivatives of random polynomials with i.i.d. zeros, International Conference on Advances on Fractals and Related Topics, The Chinese University of Hong Kong (10-14 December) . 2012. |
| Researcher : Qiu Y |
| List of Research Outputs |
| Chen X., Jiang H., Qiu Y. and Ching W.K., On Optimal Control Policy for Probabilistic Boolean Network : A State Reduction Approach, (2012), 6 (Suppl 1):S8. , BMC Systems Biology . 2012, 6 (Suppl 1):S8. |
| Jiang H., Chen X., Qiu Y. and Ching W.K., On Generating Optimal Probabilistic Boolean Networks from a Set of Sparse Matrices, East Asian Journal of Applied Mathematic. 2012, 2: 353-372. |
| Researcher : Siu MK |
| List of Research Outputs |
| Chan Y. .C. and Siu M.K., Chinese arithmetic in the eyes of a British missionary and calculus in the eyes of a Chinese mathematician: Collaboration between Alexander Wylie (1815-1887) and LI shan-lan (1811-1882), Proceedings of HPM-2012, Daejean. 2012, 363-364. |
| Chan Y. .C. and Siu M.K., Facing the change and meeting the challenge: Mathematics curriculum of Tongwen Guan in China in the second half of the nineteenth century, Zentralblatt für Didaktik der Mathematik – The International Journal of Mathematics Education. Springer-Verlag, 2012, Volume 44, Issue 4: 461-472. |
| Chan Y. .C. and Siu M.K., On Alexander Wylie’s Jottings on the Science of the Chinese Arithmetic, Proceedings of HPM-2012, Daejean. 2012, 229-237. |
| Schubring G., Furinghetti F. and Siu M.K., Introduction: the history of mathematics teaching. Indicators for modernization processes in societies, Zentralblatt für Didaktik der Mathematik – The International Journal of Mathematics Education (guest editorial). Springer-Verlag, 2012, Volume 44, Issue 4: 457-459. |
| Siu M.K., Alexander Wylie’s Jottings on the Science of the Chinese Arithmetic, presentation in HPM2012, Dajeon (July 16-20). 2012. |
| Siu M.K., Proof in the Western and Eastern traditions: Implications for mathematics education, in Proof and Proving in Mathematics Education: The 19th ICMI Study, edited by G. Hanna, M.de Villiers, Springer-Verlag, New York-Heidelberg, (2012) . 2012, 431-440. |
| Siu M.K., The good, the bad and the pleasure (not pressure!) of mathematics competitions, invited talk at the International Mathematics Competition 2012, Taipei (July 23-28). 2012. |
| Researcher : Song J |
| List of Research Outputs |
| Han Y., Hu Y. and Song J., Maximum Principle for General Controlled Systems Driven by Fractional Brownian Motions, Applied Mathematics & Optimization. 2013, 67: 279-322. |
| Hu Y., Nualart D. and Song J., A nonlinear stochastic heat equation: Hölder continuity and smoothness of the density of the solution, Stochastic Processes and their Applications. 2013, 123: 1083-1103. |
| Hu Y. and Song J., Parameter Estimation for Fractional Ornstein–Uhlenbeck Processes with Discrete Observations, In: Frederi Viens, Jin Feng, Yaozhong Hu and Eulalia Nualart, Springer Proceedings in Mathematics & Statistics. 2013, 427-442. |
| Hu Y., Ocone D. and Song J., Some results on backward stochastic differential equations driven by fractional Brownian motions, In: Tusheng Zhang and Xunyu Zhou, Stochastic analysis and applications to finance. 2012. |
| Hu Y., Nualart D. and Song J., The $$\frac{4}{3}$$ -Variation of the Derivative of the Self-intersection Brownian Local Time and Related Processes, Journal of Theoretical Probability. 2012. |
| Song J., Exponential asymptotics for time-space Hamiltonians, Workshop on Probability & Statistics and Applications, Wuhan Institute of Physics and Mathemathics, Chinese Academy of Sciences. 2013. |
| Song J., On drift parameter estimation for reflected fractional Ornstein-Uhlenbeck processes, Seminar talk, Wuhan University. 2013. |
| Researcher : Song N |
| List of Research Outputs |
| Song N., Siu K.T.K., Fard F., Ching W.K. and Fung E., Risk Measures and Behaviors for Bonds Under Stochastic Interest Rate Models, Mathematical and Computer Modelling. 2012, 56: 204-217. |
| Song N., Ching W.K., Zhu D. and Siu K.T.K., Asset Allocation Under Markovian Regime-Switching Models, Proceedings of the 5th International Conference on Business Intelligence and Financial Engineering (BIFE 2012), 18-21 August, 2012, Lanzhou and Tunhuang, China, 2012.. 2012, 144-148. |
| Song N., Ching W.K., Siu T.K. and Yiu C., On Optimal Cash Management under a Stochastic Volatility Model, East Asian Journal on Applied Mathematics . 2013, 3: 81-92. |
| Researcher : TSANG CY |
| List of Research Outputs |
| Ng T.W. and TSANG C.Y., Polynomials versus finite Blaschke products, In: Javad Mashreghi and Emmanuel Fricain , Blaschke products and their applications at Fields Institute. New York, Springer, 2013, 65: 249-274. |
| 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 |
| List of Research Outputs |
| Tsang K.M., k-tuples of almost primes, Arithmetics & Geometry: 25 Years Number Theory Seminar. 2013. |
| Researcher : Wong PPW |
| Project Title: | The Geometry of Cyclic Projective Planes |
| Investigator(s): | Wong PPW |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 09/2011 |
| Project Title: | The 36th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing; The geometry of inversive planes and the automorphism group of the Dickson-Ganley unitals |
| Investigator(s): | Wong PPW |
| Department: | Mathematics |
| Source(s) of Funding: | URC/CRCG - Conference Support for Teaching Staff |
| Start Date: | 12/2012 |
| List of Research Outputs |
| HUI M.W. and Wong P.P.W., Non-classical polar unitals in finite Figueroa planes, Journal of Geometry. Birkhauser, 2012, 103 Issue 2: 263-273. |
| 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: | Aspects of Twisted Analytic Torsion |
| Investigator(s): | Wu S |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2011 |
| Project Title: | Spectral Invariants on Non-compact and Singular Spaces; Index gerbe and differential K-theory |
| Investigator(s): | Wu S |
| Department: | Mathematics |
| Source(s) of Funding: | URC/CRCG - Conference Support for Teaching Staff |
| Start Date: | 07/2012 |
| Project Title: | Geometry of quantisation and hyper-Kaehler structures |
| Investigator(s): | Wu S |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 01/2013 |
| List of Research Outputs |
| Mathai V. and Wu S., Topology and Flux of T-Dual Manifolds with Circle Actions, Communications in Mathematical Physics. 2012, 316: 279-286. |
| Wu S., Differential K-theory and index theorems, Seminar, Capital Normal University. Beijing, 2012. |
| Wu S., Differential K-theory and index theorems, Seminar, Universit´e de Paris-Sud. Orsay, 2012. |
| Wu S., Index gerbes and differential K-theory , International Conference on Geometry and Analysis on Manifolds, Univ of California, Santa Barbara. 2012. |
| Wu S., Index gerbes and differential K-theory , Workshop "Spectral Invariants on Non-compact and Singular Spaces", Centre de Recherche Math, Montreal. 2012. |
| Wu S., Index gerbes and differential K-theory, 10th Geometry and Physics Conference (Quantum Geometry), Academic Village, Anogia, Greece. 2012. |
| Wu S., Index gerbes and differential K-theory, Eighth China-Japan Friendship Conference on differential geometry, Sichuan University, Chengdu. 2012. |
| Wu S., Index gerbes and differential K-theory, Geometry Seminar, Scuola Internazionale Superiore di Studi Avanzati. Trieste, 2013. |
| Wu S., Index gerbes and differential K-theory, Mathematical Conference and Annual Meeting of the Taiwan Mathematical Society. Hsinchu, 2012. |
| Wu S., Index gerbes and differential K-theory, Seminar, Mathematisches Institut der Universit¨at zu K¨oln. Cologne, 2013. |
| Wu S., Index gerbes and differential K-theory, Workshop “Current Groups and Twisted K-theory”, InInsititute for Geometry and its Applications. Adelaide, 2013. |
| Wu S., Quantisation of the cotangent bundle of Lie groups, Mathematics Seminar, International Centre for Theoretical Physics. Trieste, 2013. |
| Wu S., Science China Mathematics. Springer, 2013. |
| Wu S., Topology and Flux of T-Dual Manifolds with Circle and Torus Actions, Mirror Symmetry and Related Topics, Kunming University of Science and Technology, Kunming. 2012. |
| Wu S., Topology and flux of T-dual manifolds with circle and torus actions, Seminar, Institute of Mathematics, Academia Sinica. Taipei, 2013. |
| Wu S., Topology and flux of T-dual manifolds with circle and torus actions, Symplectic Geometry and Mathematical Physics Seminar, BICMR. Beijing, 2012. |
| Wu S., Topology and flux of T-dual manifolds with circle and torus actions, Workshop on Mathematics of String theory, Center of Mathematical Sciences. Hangzhou, 2013. |
| Researcher : Xu L |
| List of Research Outputs |
| Xu L., Shang W. and Han G., A Graph Theoretical Approach to Network Encoding Complexity, The International Symposium on Information Theory and its Applications. 2012. |
| Researcher : Yu J |
| Project Title: | ON THE LIFTING PROBLEM |
| Investigator(s): | Yu J |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 07/2011 |
| Researcher : Yung SP |
| 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 |
| Completion Date: | 10/2012 |
| Project Title: | On Optimal Strategy of Trading Stocks |
| Investigator(s): | Yung SP |
| Department: | Mathematics |
| Source(s) of Funding: | Small Project Funding |
| Start Date: | 11/2011 |
| Completion Date: | 10/2013 |
| Project Title: | 2012 SIAM conference on Financial Math and Engineering Bang-Bang Controls on Some Optimal Insurance Problems |
| Investigator(s): | Yung SP |
| Department: | Mathematics |
| Source(s) of Funding: | URC/CRCG - Conference Support for Teaching Staff |
| Start Date: | 07/2012 |
| Completion Date: | 07/2012 |
| List of Research Outputs |
| Yam S.C., Yung S.P. and Zhou J., A Mean-Variance Portfolio Selection Problem Subject To A Benchmark Constraint: An Existence Result, Risk and Decision Analysis. 2013, 4: 25-38. |
| Yung S.P., Time Consistent Optimal Controls for Mean-Variance Portfolio Selection Problems IMS-FPS Workshop, NUS, Singapore June 2013, IMS-FPS Workshop, NUS, Singapore June 2013. 2013. |
| Yung S.P., Lecture series in Financial Mathematics, Beijing Institute of Technology. 2012. |
| Researcher : Zang W |
| 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 |
| Completion Date: | 11/2012 |
| 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 |
| Project Title: | Box-Perfectness: Obstruction and Recognition |
| Investigator(s): | Zang W |
| Department: | Mathematics |
| Source(s) of Funding: | General Research Fund (GRF) |
| Start Date: | 12/2011 |
| Project Title: | Research Output Prize (Faculty of Science) |
| Investigator(s): | Zang W |
| Department: | Mathematics |
| Source(s) of Funding: | Research Output Prize (in Faculty) |
| Start Date: | 12/2011 |
| List of Research Outputs |
| Chen G., Yu X. and Zang W., The Circumference of a Graph with No K(3,t)-Minor, II, Journal of Combinatorial Theory Series B. San Diego, USA, Elsevier, Inc., 2012, 102: 1211-1240. |
| Chen X., Ding G., Yu X. and Zang W., Bonds with Parity Constraints, Journal of Combinatorial Theory Series B. San Diego, USA, Elsevier, Inc., 2012, 102: 588-609. |
| Chen X., Ding G., Hu X. and Zang W., The Maximum-Weight Stable Matching Problem: Duality and Efficiency, SIAM Journal on Discrete Mathematics. Philadelphia, USA, SIAM, 2012, 26: 1346-1360. |
| Chen X., Chen Z. and Zang W., Total Dual Integrality in Some Facility Location Problems, SIAM Journal on Discrete Mathematics. Philadelphia, USA, SIAM, 2012, 26: 1022-1030. |
| Hu Z., Law K.H. and Zang W., An Optimal Binding Number Condition for Bipancyclism, Journal of Discrete Mathematics. 2013, 27: 597-618. |
| Zang W., When is the Matching Polytope Box-totally Dual Integral?, Fields Institute-Ottawa-Carleton Discrete Mathematics Days, Ottawa, Canada. 2013. |
| Researcher : Zhao C |
| List of Research Outputs |
| Cheung W.S. and Zhao C., An Inequality for the Mixed Discriminant of a Matrix, Far East Journal of Mathematical Sciences. 2012, 62, No.1: 89-95. |
| Cheung W.S. and Zhao C., On Hilbert Type Inequalities, Journal of Inequalities and Applications. 2012, 2012: 145. |
| Cheung W.S. and Zhao C., On Opial Inequalities Involving Higher Order Derivatives, Bulletin of the Korean Mathematical Society. 2012, 49, No.6: 1263-1274. |
| Cheung W.S. and Zhao C., On Opial's Type Inequalities for An Integral Operator with Homogeneous Kernel, Journal of Inequalities and Applications. 2012, 2012: 123. |
| Cheung W.S. and Zhao C., On Opial-Type Inequalities with Higher Order Partial Derivatives, Applied Mathematics Letters. 2012, 25: 2156-2161. |
| Cheung W.S. and Zhao C., On Subdividing of Hölder's Inequality, Far East Journal of Mathematical Sciences. 2012, 60, No.1: 101-108. |
| Cheung W.S. and Zhao C., On the Hermite-Hadamard Type Inequalities, Journal of Inequalities and Applications. 2013, 2013: 228. |
| Cheung W.S. and Zhao C., On the Quermassintegrals of Convex Bodies, Journal of Inequalities and Applications. 2013, 2013: 264. |
| Cheung W.S., Zhao C. and Chen L.Y., Polar Duals of Convex and Star Bodies, Journal of Inequalities and Applications. 2012, 2012: 90. |
| Researcher : Zhou J |
| List of Research Outputs |
| Yam S.C., Yung S.P. and Zhou J., A Mean-Variance Portfolio Selection Problem Subject To A Benchmark Constraint: An Existence Result, Risk and Decision Analysis. 2013, 4: 25-38. |
| Researcher : Zhu D |
| List of Research Outputs |
| Song N., Ching W.K., Zhu D. and Siu K.T.K., Asset Allocation Under Markovian Regime-Switching Models, Proceedings of the 5th International Conference on Business Intelligence and Financial Engineering (BIFE 2012), 18-21 August, 2012, Lanzhou and Tunhuang, China, 2012.. 2012, 144-148. |