Mathematics and Statistics

Mathematics and Statistics

Research Outputs

Research outputs from the department as listed in the annual UC Research Report.

2008 (PDF, 1.8 MB)

Chapter in Book

  • Bridges, D. (2008) Philosophy of Mathematics: Five Questions. Chapter 5. In V.F. Hendricks and H. Leitgeb (Ed.), Philosophy of Mathematics: Five Questions. (45-49). New York: Automatic Press/VIP.

  • Bridges, D.S. (2008) A reverse look at Brouwer’s fan theorem. In M. van Atten, P. Boldini, M. Bourdeau and G. Heinzmann (Ed.), One Hundred Years of Intuitionism (1907-2007). (316-325). Basel: Birkhaeuser.

  • Lee, D. (2008) Exact Markov Chain Monte Carlo algorithms and their applications in probabilistic data analysis and inference. In H-F. Wang (Ed.), Intelligent Data Analysis: Developing New Methodologies Through Pattern Discovery and Recovery. (161-183). New York: IGI Publishing.

Edited Book

  • Shafi, M., Huang, H., Hottinen, A., Smith, P.J. and Valenzuela, R.A. (Ed.) (2008) IEE Journal on Selected Areas in Communications, Vol 26, Issue 6. New York City: Institute of Electrical and Electronics Engineers.

Journal Article

  • Baroni, M.A. and Bridges, D.S. (2008) Continuity Properties of Preference Relations. Electronic Notes in Theoretical Computer Science, 202, 19-25.

  • Baroni, M.A. and Bridges, D.S. (2008) Continuity properties of preference relations. Mathematical Logic Quarterly, 54, 5, 454-459.

  • Basse, B. and Plank, M. (2008) Modelling biological invasions over homogeneous and inhomogeneous landscapes using level set methods. Biological Invasions, 10, 2, 157-167.

  • Bate, M., Martin, B. and Roehrle, G. (2008) Complete reducibility and commuting subgroups. Journal für die Reine und Angewandte Mathematik (Crelles Journal), 621, Aug 2008, 213-235.

  • Begg, R., Wall, D.J.N. and Wake, G.C. (2008) On the stability of steady size-distributions for a cell-growth process with dispersion. Differential and Integral equations, 21, 1-2, 1-24.

  • Begg, R.E., Wall, D.J.N. and Wake, G.C. (2008) The steady-states of a multi-compartment, age-size distribution model of cell-growth. European Journal of Applied Mathematics, 19, 4, 435-458.

  • Berger, J. and Bridges, D. (2008) The anti-Specker property, a Heine-Borel property, and uniform continuity. Archive for Mathematical Logic, 46, 7-8, 583-592.

  • Bordewich, M. and Semple, C. (2008) Nature reserve selection problem: a tight approximation algorithm. IEEE/ACM Transactions on Computational Biology and Bioinformatics, 5, 2, 275-280.

  • Bordewich, M., McCartin, C. and Semple, C. (2008) A 3-approximation algorithm for the subtree distance between phylogenies. Journal of Discrete Algorithms, 6, 3, 458-471.

  • Bordewich, M., Rodrigo, A.G. and Semple, C. (2008) Selecting taxa to save or sequence: desirable criteria and a greedy solution. Systematic Biology, 57, 6, 825-834.

  • Bridges, D., Ishihara, H., Schuster, P.M. and Vita, L. (2008) Apartness, compactness and nearness. Theoretical Computer Science, 405, 1-2, 3-10.

  • Bridges, D.S. (2008) Product a-frames and proximity. Mathematical Logic Quarterly, 54, 1, 12-25.

  • Bridges, D.S. (2008) Uniform Continuity Properties of Preference Relations. Notre Dame Journal of Formal Logic, 49, 1, 97-106.

  • Bridges, D.S. and Diener, H. (2008) The pseudocompactness of [0,1] is equivalent to the uniform continuity theorem. Journal of Symbolic Logic, 72, 4, 1379-1383.

  • Bridges, D.S. and Vita, L.S. (2008) Proximal connectedness. Fundamenta Informaticae, 83, 1-2, 25-34.

  • Brown, J.A., Salehi M, M., Moradi, M., Bell, G. and Smith, D.R. (2008) An adaptive two-stage sequential design for sampling rare and clustered populations. Population Ecology, 50, 3, 239-245.

  • Brown, J.A., Smith, A.N.H. and Robinson, T.J. (2008) The response of rare herbaceous plants to the removal of weeds in an unproductive environment. Community Ecology, 9, 1, 49-54.

  • Bui, H-Q. and Laugesen, R.S. (2008) Affine Synthesis onto Lebesgue and Hardy Spaces. Indiana University Journal of Mathematics, 57, 5, 2203-2233.

  • Bui, H-Q. and Laugesen, R.S. (2008) Approximation and spanning in the Hardy space, by affine systems. Constructive Approximation, 28, 2, 149-172.

  • Bui, H-Q., Kaiblinger, N. and Laugesen, R.S. (2008) A note on constructing affine systems for L^2. Applied and Computational Harmonic Analysis, 25, 3, 400-406.

  • Bui, H.Q. and Laugesen, R.S. (2008) Sobolev spaces and approximation by affine spanning systems. Mathematische Annalen, 341, 2, 347-389.

  • Cappelli, C., Penny, R.N., Rea, W.S. and Reale, M. (2008) Detecting multiple mean breaks at unknown points in official time series. Mathematics and Computers in Simulation, 78, 2-3, 351-356.

  • Chappell, M.H., Brown, J.A., Dalrymple-Alford, J.C., Uluğ, A.M. and Watts, R. (2008) Multivariate analysis of diffusion tensor imaging data improves the detection of microstructural damage in young professional boxers. Magnetic Resonance Imaging, 26, 10, 1398-1405.

  • Chase, J.G., Shaw, G., Le Compte, A., Lonergan, T., Willacy, M., Wong, X-W., Lin, J., Lotz, T., Lee, D. and Hann, C. (2008) Implementation and evaluation of the SPRINT protocol for tight glycaemic control in critically ill patients: a clinical practice change. Critical Care, 12, 2, R49.

  • Codling, E.A., Plank, M.J. and Benhamou, S. (2008) Random walk models in biology. Journal of the Royal Society Interface, 5, 25, 813-834. Berger, J. and Bridges, D. (2008) The anti-Specker property, a Heine-Borel property, and uniform continuity. Archive for Mathematical Logic, 46, 7-8, 583-592.

  • Comerford, A., Plank, M.J. and David, T. (2008) Endothelial Nitric Oxide Synthase and Calcium Production in Arterial Geometries: An Integrated Fluid Mechanics/Cell Model. Journal of Biomechanical Engineering, 130, 1, 011010.

  • Degnan, J.H., Lasky-Su, J., Raby, B.A., Xu, M., Molony, C., Schadt, E.E. and Lange, C. (2008) Genomics and genome-wide association studies: An integrative approach for expression QTL mapping. Genomics, 92, 129-133.

  • Faller, B., Pardi, F. and Steel, M. (2008) Distribution of phylogenetic diversity under random extinction. Journal of Theoretical Biology, 251, 2, 286-296.

  • Fischer, M. and Steel, M. (2008) Expected Anomolies in the Fossil Record. Evolutionary Bioinformatics Online, 4, 61-67.

  • Gernhard, T., Hartmann, K. and Steel, M. (2008) Stochastic properties of generalised Yule models, with biodiversity applications. Journal of Mathematical Biology, 57, 5, 713-735.

  • Geuvers, H. and Loeb, I. (2008) Deduction Graphs with Universal Quantification. Braga, Potugal: Fourth International Workshop on Computing with Terms and Graphs (TERMGRAPH 2007), 31 Mar 2007. In Electronic Notes in Theoretical Computer Science (ENTCS), 203, Proceedings of TEMGRAPH 2007, 93-108.

  • Gill, J., Linusson, S., Moulton, V. and Steel, M. (2008) A regular decomposition of the edge-product space of phylogenetic trees. Advances in Applied Mathematics, 41, 2, 158-176.

  • Gruenheit, N., Lockhart, P.J., Steel, M. and Martin, W. (2008) Difficulties in Testing for Covarion-Like Properties of Sequences under the Confounding Influence of Changing Proportions of Variable Sites. Molecular Biology and Evolution, 25, 7, 1512-1520.

  • Grunewald, S., Huber, K.T., Moulton, V. and Semple, C. (2008) Encoding phylogenetic trees in terms of weighted quartets. Journal of Mathematical Biology, 56, 4, 465-477.

  • Grunewald, S., Humphries, P.J. and Semple, C. (2008) Quartet compatibility and the quartet graph. Electronic Journal of Combinatorics, 15, 1, R103.

  • Hickman, M.S. (2008) Leading order integrability conditions for differential-difference equations. Journal of Nonlinear Mathematical Physics, 15, 1, 66-86.

  • Jackobsson, M., Scholz, S.W., Scheet, P., Gibbs, J.R., VanLiere, J.M., Fung, H-C., Spiezch, J.A., Degnan, J.H., Wang, K., Guerreiro, R., Bras, J.M., Schymick, J.C., Hernandez, D.G., Traynor, B.J., Simon-Sanchez, J., Matarin, M., Britton, A., van de Leemput, J., Rafferty, I., Bucan, M., Cann, H.M., Hardy, J.A., Rosenberg, N.A. and Singleton, A.B. (2008) Genotype, haplotype and copy-number variation in worldwide human populations. Nature, 451, 998-1003.

  • James, A., Montelle, C. and Williams, P. (2008) From lessons to lectures: NCEA mathematics results and first year performance. International Journal of Mathematical Education Science and Technology, 39, 8, 1037-1050.

  • James, A., Plank, M.J. and Brown, R. (2008) Optimizing the encounter rate in biological interactions: Ballistic versus Lévy versus Brownian strategies. Physical Review E, 78, 051128.

  • James, A., Plank, M.J. and Brown, R. (2008) Optimizing the encounter rate in biological interactions: Ballistic versus L_y versus Brownian strategies. Physical Review E, 78, 051128.

  • Kleinstreuer, N., David, T., Plank, M.J. and Endre, Z. (2008) Dynamic myogenic autoregulation in the rat kidney: a whole organ model. American Journal of Physiology - Renal Physiology, 294, 6, F1453-F1464.

  • Li, G., Steel, M. and Zhang, L. (2008) More taxa are not necessarily better for the reconstruction of ancestral character states. Systematic Biology, 57, 4, 647-653.

  • Linn, J., Lee, D.S., Chase, J.G., Shaw, G.M., LeCompte, A.J., Lotz, T., Wong, X.W., Lonergan, T. and Hann C.E. (2008) Stochastic modelling of insulin sensitivity and adaptive glycemic control for critical care. Computer Methods and Programs in Biomedicine, 89, 2, 141-152.

  • Loeb, I. (2008) Indecomposability of R and R{0} in Constructive Reverse Mathematics. Logic Journal of the IGPL, 16, 3, 269-273.

  • Loewen, R., Soyturk, E. and Steinke, G.F. (2008) Blowing up points and embedding flat stable planes in the nonorientable compact surface of genus one. Topology and its applications, 155, 10, 1041-1055.

  • Matsen, F.A., Mossel, E. and Steel, M. (2008) Mixed-up Trees: the Structure of Phylogenetic Mixtures. Bulletin of Mathematical Biology, 70, 4, 1115-1139.

  • McKay, M.R., Smith, P.J., Suraweera, H.A. and Collings, I.B. (2008) On the Mutual Information Distribution of OFDM-Based Spatial Multiplexing: Exact Variance and Outage Approximation. IEEE Transactions on Information Theory, 54, 7, 3260-3278.

  • Moorhead, K.T., Lee, D.S., Chase, J.G., Moot, A.R., Ledingham, K., Scotter, J., Allardyce, R., Sentilomohan, S.T. and Endre, Z. (2008) Classifying algorithms for SIFT-MS technology and medical diagnosis. Computer Methods and Programs in Biomedicine, 89, 3, 226-238.

  • Naik, N., Beatson, R., Eriksson, J. and Van Houten, E. (2008) An implicit radial basis function based reconstruction approach to electromagnetic shape tomography. Inverse Problems, 25, 2, 025004.

  • Oxley, J., Semple, C. and Whittle, G. (2008) A chain theorem for matroids. Journal of Combinatorial Theory Series B, 98, 3, 447-483.

  • Oxley, J., Semple, C. and Whittle, G. (2008) Maintaining 3-connectivity relative to a fixed basis. Advances in Applied Mathematics, 41, 1, 1-9.

  • Oxley, J., Semple, C. and Whittle, G. (2008) Wild triangles in 3-connected matroids. Journal of Combinatorial Theory Series B, 98, 2, 291-323.

  • Pande, A., MacDiarmid, A.B., Smith, P.J., Davidson, R.J., Cole, R.G., Freeman, D., Kelly, S. and Gardner, J.P.A. (2008) Marine reserves increase the abundance and size of blue cod and rock lobster. Marine Ecology Progress Series, 366, 147-158.

  • Plank, M.J. and James, A. (2008) Optimal foraging: Lévy pattern or process? Journal of the Royal Society. Interface, 5, 26, 1077-1086.

  • Price, C.J., Reale, M. and Robertson, B.L. (2008) A direct search method for smooth and nonsmooth unconstrained optimization. ANZIAM Journal, 48, C927-C948.

  • Semple, C. and Welsh, D. (2008) Negative correlation in graphs and matroids. Combinatorics Probability and Computing, 17, 423-435.

  • Shafi, M., Huang, H., Hottinen, A., Smith, P.J. and Valenzuela, R.A. (2008) Guest Editorial MIMO Systems and Applications: Field Experience, Practical Aspects, Limitations and Challenges. IEEE Journal on Selected Areas in Communication, 26, 6, 841-844.

  • Smith, P.J., King, T.W., Garth, L.M. and Dohler, M. (2008) A Power Scaling Analysis of Norm-Based Antenna Selection Techniques. IEEE Transactions on Wireless Communications, 7, 6, 3140-3149.

  • Steel, M. and Rodrigo, A. (2008) Maximum likelihood supertrees. Systematic Biology, 57, 2, 243-250.

  • Thatte, B.D. and Steel, M. (2008) Reconstructing pedigrees: A stochastic perspective. Journal of Theoretical Biology, 251, 3, 440-449.

  • Thierer, T., Bryant, D. and Steel, M. (2008) Counting Ancestral Reconstructions in a Fixed Phylogeny. Annals of Combinatorics, 12, 1, 123-132.

  • Tunnicliffe Wilson, G. and Reale, M. (2008) The sampling properties of conditional independence graphs for I(1) structural VAR models. Journal of Time Series Analysis, 29, 5, 802-810.

  • Watson, N.A. (2008) An Extension Theorem for Supertemperatures. Annales Academiae Scientiarum Fennicae Mathematica, 33, 1, 131-141.

  • Webb, R.Y. and Smith, P.J. (2008) A Population Monte Carlo Method for Generating Random Matrices with Known Characteristics. Applied Artificial Intelligence, 22, 7-8, 730-748.

  • Whitfield, J., Cameron, S., Huson, D. and Steel, M. (2008) Filtered z-closure supernetworks for extracting and visualizing recurrent signal from incongruent gene trees. Systematic Biology, 57, 6, 939-947.

Conference Contribution

  • Abstract

  • Le Compte, A.J., Lynn, A., Chase, J.G., Shaw, G.M., Russel, G., Blakemore, A., Lee, D.S. and Wong, X.W. (2008) Neonatal Glycaemic Control - Model Validation and In Silico Virtual Patient Trials. Bethesda, MD, USA: 8th Annual Diabetes Technology Meeting, 13-15 Nov 2008.

  • Full Conference paper

  • Bradley, B.A., Dhakal, R.P., Cubrinovski, M., MacRae, G.A. and Lee, D.S. (2008) Seismic loss estimation for efficient decision making. Wairakei, New Zealand: 2008 New Zealand Society of Earthquake Engineering (NZSEE) Conference, 11-13 Apr 2008.

  • Brown, R.G., Hann, C.E., Chase, J.G. and Ray, L.E. (2008) Surface Reconstruction for a DIET breast cancer screening system. Seoul, Korea: 17th International Federation of Automatic Control World Congress (IFAC 2008), 6-11 Jul 2008.

  • Kongara, K.P. and Smith, P.J. (2008) Performance measures for adaptive multicarrier (CP-OFDMA and IOTA-OFDM) modulation techniques under typical system imperfections. Hyderabad, India: Recent Advances in Communication Engineering (RACE-08), 20-23 Dec 2008.

  • Kongara, K.P., Smith, P.J. and Mann, S. (2008) A Comparison of OFDM with IOTA under Typical System Imperfections. London, UK: IET Seminar on Wideband and Ultrawideband Systems and Technologies, 6 Nov 2008.

  • Zheng, G., Chacko, E., Penny, R. and Reale, M. (2008) Empirical Study of Break Point Detection on Seasonal Change in External Migration Series. Wellington, New Zealand: 2008 Econometric Society Australasian Meeting (ESAM08), 9-11 Jul 2008.

  • Paper in published proceedings

  • Kongara, K.P., Kuo, P.H., Smith, P.J., Garth, L.M. and Clark, A. (2008) Performance Analysis of Adaptive MIMO OFDM Beamforming Systems. Beijing, China: International Conference on Commuications (ICC 2008), 19-23 May 2008. In Proceedings of ICC 2008, 4359-4365.

  • Kongara, K.P., Smith, P.J. and Garth, L.M. (2008) Eigenvalue variation in MIMO OFDM systems. Christchurch, New Zealand: Australian Communications Theory Workshop, 30 Jan-1 Feb 2008. In Proceedings of the Australian Communications Theory Workshop, 2008, 82-87.

  • Loeb, I. (2008) Factoring Out Intuitionistic Theorems: Continuity Principles and the Uniform Continuity Theorem. Athens, Greece: 4th Conference on Computerbility in Europe 2008 (CiE 2008), 15-20 Jun 2008.

  • Smith, P.J., Suraweera, H.A. and Shafi, M. (2008) Signal power variation with applications to cognitive radio. Christchurch, New Zealand: Australian Communications Theory Workshop, 30 Jan-1 Feb 2008. In Proceedings of the Australian Communications Theory Workshop, 2008, 33-38.

  • Suraweera, H.A., Gao, J., Smith, P.J., Shafi, M. and Faulkner, M. (2008) Channel Capacity Limits of Cognitive Radio in Asymmetric Fading Environments. Beijing, China: IEEE International Conference on Communications, 19-23 May 2008. In Proceedings of the IEEE International Conference on Communications, 4048-4053.

  • Suraweera, H.A., Smith, P.J. and Surobhi, N.A. (2008) Exact Outage Probability of Cooperative Diversity with Opportunistic Spectrum Access. Beijing, China: IEEE International Conference on Communications Workshops, 19-23 May 2008. In Proceedings of the IEEE International Conference on Communications Workshops, 2008, 79-84.

Report for External Body

  • Basse, B., Bourdôt, G., Brown, J.A. and Lamoureaux, S. (2008) New Zealand National Weeds Distribution Database: a feasibility study. University of Canterbury Research Report UCDMS2008/8. Environment Southland, Envirolink medium advice 499-ESRC212. 17.

Other

  • Bridges, D.S. (2008) Utility Maximization, Choice alterand Preference. SIAM Review, 50, 3, 597-599. Book Review.

  • Huson, D., Moulton, V., Steel, M. and Freiberger, M. (2008) Reconstructing the tree of life. Plus, 46. Magazine article.

  • Sims, D.W., Southall, E.J., Humphries, N.E., Hays, G.C., Bradshaw, C.J.A., Pitchford, J.W., James, A., Ahmed, M.Z., Brierley, A.S., Hindell, M.A., Morritt, D., Musyl, M.K., Righton, D., Shepard, E.L.C., Wearmouth, V.J., Wilson, R.P., Witt, M.J. and Metcalfe, J.D. (2008) General scaling laws of marine predator search behaviour indicate adaption to complex prey landscapes. Nature, 451, 1098-1102. Letter.

  • Wilson, P. (2008) Physdamentalism. Physics World, 21, 1, 17. Letter to the Editor.

  • Wilson, P.L. (2008) Constructive mathematics. Plus, 49. Magazine article.

Theses

  • Doctor of Philosophy

  • Diener, H. (2008) Compactness Under Constructive Scrutiny.

  • Gong, Z. (2008) Parametric Potential-Outcome Survival Models for Causal Inference.

  • Hartmann, K. (2008) Biodiversity Conservation and Evolutionary Models.

  • Humphries, P.J. (2008) Combinatorial Aspects of Leaf-Labelled Trees.

  • Rea, W.S. (2008) The Application of Atheoretical Regression Trees to Problems in Time Series Analysis.

  • Weeraprajak, I. (2008) Faster Adaptive Network Based Fuzzy Inference System.

  • Master of Science

  • Richens, A.S. (2008) Detecting Change Points in Time Series Using the Bayesian Approach with Perfect Simulation.