Mathematics and Statistics

Books and Chapters

Praeger, C.E. Finite symmetric graphs, Topics in Algebraic Graph Theory, ed Lowell W. Beineke and Robin J. Wilson, Cambridge, UK, Cambridge University Press, 102: pp 179-202 (2004)

Journal Articles

Baddeley, R.W., Praeger, C.E. and Schneider, C. Identifying Cartesian Decompositions Preserved by Transitive Permutation Groups, Algebra Colloquium, 11:1, pp 1-10 (2004)

Baddeley, R.W., Praeger, C.E. and Schneider, C. Transitive Simple Subgroups of Wreath Products in Product Action, Journal of the Australian Mathematical Society, 77: pp 55-72 (2004)

Bader, L., O'Keefe, C.M. and Penttila, T. Some Remarks on Flocks, Journal of the Australian Mathematical Society, 76: pp 329-343 (2004)

Ball, F.G., Milne, R.K. and Yeo, G.F. A unified approach to burst properties of multiconductance single ion channels, Mathematical Medicine and Biology, 21: pp 205-245 (2004)

Ball, F.G. and Milne, R.K. Applications of simple point process methods to superpositions of aggregated stationary processes, Australian & New Zealand Journal of Statistics, 46:1, pp 181-196 (2004)

Ball, S., Bamberg, J., Lavrauw, M. and Penttila, T. Symplectic Spreads, Designs Codes and Cryptography, 32: pp 9-14 (2004)

Bamberg, J. and Praeger, C.E. Finite Permutation Groups with a Transitive Minimal Normal Subgroup, Proceedings of the London Mathematical Society, 3:89, pp 71-103 (2004)

Bancroft, W.J., Hill, D. and Roberts, J.D. A new method for calculating volume of excavated burrows: the geomorphic impact of Wedge-Tailed Shearwater burrows on Rottnest Island, Functional Ecology, 18: pp 752-759 (2004)

Brouwers, D.V.G., Bamberg, J. and Cairns, G. Totally Goldbach numbers and related conjectures, Australian Mathematical Society Gazette, 31:4, pp 251-255 (2004)

Brown, M.R., O'Keefe, C.M., Payne, S.E., Penttila, T. and Royle, G.F. Spreads of T₂(O), α-flocks and Ovals, Designs Codes and Cryptography, 31: pp 251-282 (2004)

Cardinali, I., Durante, N., Penttila, T. and Trombetti, R. Bruen chains over fields of small order, Discrete Mathematics, 282: pp 245-247 (2004)

Carey, G., Fowkes, N., Staelens, A. and Pardhanani, A. A class of coupled nonlinear reaction diffusion models exhibiting fingering, Journal of Computational and Applied Mathematics, 166: pp 87-99 (2004)

Czarn, A.S.T., MacNish, C.K., Vijayan, K., Turlach, B. and Gupta, R. Statistical Exploratory Analysis of Genetic Algorithms, IEEE Transactions on Evolutionary Computation, 8:4, pp 405-421 (2004)

Czarn, A.S.T., MacNish, C.K., Vijayan, K. and Turlach, B. Statistical Exploratory Analysis of Genetic Algorithms: The Influence of Gray Codes upon the Difficulty of a Problem, Lecture Notes in Artificial Intelligence, 3339: pp 1246-1252 (2004)

Elhirbawy, M.A., Jennings, L.S. and Keerthipala, W.W.L. Phase Position and Phase Relocation for the Feasibility of Electromagnetic Field Mitigation, International Journal of Modelling & Simulation, 24:3, pp 121-130 (2004)

Fang, X.G., Li, C.H. and Praeger, C.E. The locally 2-arc transitive graphs admitting a Ree simple group, Journal of Algebra, 282: pp 638-666 (2004)

Fang, X.G., Li, C.H. and Xu, M.Y. On edge-transitive Cayley graphs of valency four, European Journal of Combinatorics, 25: pp 1107-1116 (2004)

Findlater, P.A., Scott, W.D., Greenhill, S.A. and Hopwood, J.M. Estimation of the Surface Stress from the Streamwise Pressure Gradient: The Karman Integral Momentum Equation Revisited, Environmental Fluid Mechanics, 4: pp 367-383 (2004)

Fraenkel, L.E. and Keady, G. On the entry of a wedge into water: The thin wedge and an all-purpose boundary-layer equation, Journal of Engineering Mathematics, 48: pp 219-252 (2004)

Gao, J. and King, M. Adaptive Testing in Continuous-Time Diffusion Models, Econometric Theory, 20: pp 844-882 (2004)

Gao, J. Modeling Long-Range-Dependent Gaussian Processes with Application in Continuous-Time Financial Models, Journal of Applied Probability, 41: pp 467-482 (2004)

Gao, J. and Tong, H. Semiparametric non-linear time series model selection, Journal of the Royal Statistical Society Series B - Statistical Methodology, 66:2, pp 321-336 (2004)

Guralnick, R.M., Li, C.H., Praeger, C.E. and Saxl, J. On Orbital Partitions and Exceptionality of Primitive Permutation Groups, Transactions of the Americal Mathematical Society, 356:12, pp 4857-4872 (2004)

Hazelton, M. Density Estimation from Aggregate Data, Computational Statistics, 19: pp 407-423 (2004)

Hazelton, M.L. and Watling, E.P. Computation of Equilibrium Distributions of Markov Traffic-Assignment Models, Transportation Science, 38:3, pp 331-342 (2004)

Hazelton, M.L. Estimating Vehicle Speed from Traffic Count and Occupancy Data, Journal of Data Science, 2: pp 231-244 (2004)

Hirata, Y., Judd, K. and Kilminster, D. Estimating a generating partition from observed time series: Symbolic shadowing, Physical Review E., 70: (2004)

Huang, C-S., Wang, S. and Teo, K.L. On application of an alternating direction method to Hamilton-Jacobin-Bellman equations, Journal of Computational and Applied Mathematics, 166: pp 153-166 (2004)

Judd, K., Smith, L. and Weisheimer, A. Gradient free descent: shadowing, and state estimation using limited derivative information, Physica D-Nonlinear Phenomena, 190: pp 153-166 (2004)

Judd, K. and Smith, L.A. Indistinguishable states II The imperfect model scenario, Physica D-Nonlinear Phenomena, 196: pp 224-242 (2004)

Keady, G., Scales, P. and Nemeth, S.Z. Watt linkages and quadrilaterals, The Mathematical Gazette, 88:513, pp 475-492 (2004)

Kenny, R. Estimates of Hausdorff Dimension for the Non-Wandering Set of an Open Planar Billiard, Canadian Journal of Mathematics, 56:1, pp 115-133 (2004)

Kozera, R. and Noakes, L. C¹ Interpolation with Cumulative Chord Cubics, Fundamenta Mathematicae, 61:3-4, pp 1001-1016 (2004)

Law, M. and Penttila, T. Construction of BLT-sets over small fields, European Journal of Combinatorics, 25: pp 1-22 (2004)

Lawrance, I.C., Murray, K., Hall, A., Sung, J.J.Y. and Leong, R. A Prospective Comparative Study of ASCA and pANCA in Chinese and Caucasian IBD Patients, American Journal of Gastroenterology, 99:11, pp 2186-2194 (2004)

Li, C.H., Lu, Z.P. and Marusic, D. On primitive permutation groups with small suborbits and their orbital graphs, Journal of Algebra, 279: pp 749-770 (2004)

Li, C.H. Finite s-Arc Transitive Cayley graphs and Flag-Transitive Projective Planes, Proceedings of the American Mathematical Society, 133:1, pp 31-41 (2004)

Li, X-G., Chan, C.K. and Wang, S. The finite element method with weighted basis functions for singularly perturbed convection-diffusion problems, Journal of Computational Physics, 195: pp 773-789 (2004)

Li, Z-C., Hu, H-Y., Hsu, C-H. and Wang, S. Particular solutions of singularly perturbed partial differential equations with constant coefficients in rectangular domains, Part I. Convergence analysis, Journal of Computational and Applied Mathematics, 166: pp 181-208 (2004)

Longstaff, W.E. Burnside's theorem: irreducible pairs of transformations, Linear Algebra and its Applications, 382: pp 247-269 (2004)

Lou, X., Munro, S. and Wang, S. Drug release characteristics of phase separation pHEMA sponge materials, Biomaterials, 25: pp 5071-5080 (2004)

Mendes-Goncalves, S. and Sullivan, R.P. Baer-Levi semigroups of linear transformations, Proceedings of the Royal Society of Edinburgh, 134A: pp 477-499 (2004)

Morgan, W.H., Hazelton, M.L., Azar, S.L., House, P.H., Yu, D-Y., Cringle, S.J. and Balaratnasingam, C. Retinal Venous Pulsation in Glaucoma and Glaucoma Suspects, Ophthalmology, 111: pp 1489-1494 (2004)

Nakamura, T., Kilminster, D., Judd, K. and Mees, A. A Comparative Study of Model Selection Methods for Nonlinear Time Series, International Journal of Bifurcation and Chaos, 14:3, pp 1129-1146 (2004)

Neumann, P.M. and Praeger, C.E. On Tensor-Factorisation Problems, I: The Combinatorial Problem, London Mathematical Society Journal of Computation and Mathematics, 7: pp 73-100 (2004)

Noakes, L. Non-Null Lie Quadratics in E³, Journal of Mathematical Physics, 45:11, pp 4334-4351 (2004)

Pakes, A.G. Product Integration and Characterization of Probability Laws, Journal of Applied Statistical Science, 13:1, pp 11-31 (2004)

Pakes, A.G. Convergence and Divergence of Random Series, Australian & New Zealand Journal of Statistics, 46:1, pp 29-40 (2004)

Pakes, A.G. Convolution Equivalence and Infinite Divisibility, Journal of Applied Probability, 41: pp 407-424 (2004)

Pakes, A.G. Characterization of Probability Laws via Length-Biasing and Stationary-Excess Operations, Communications in Statistics - Theory and Methods, 33:12, pp 2975-2992 (2004)

Pinto, F.A. and Sullivan, R.P. Baer-Levi Semigroups of Partial Transformations, Bulletin of the Australian Mathematical Society, 69: pp 87-106 (2004)

Sircombe, K.N. and Hazelton, M.L. Comparison of detrital zircon age distributions by kernel functional estimation, Sedimentary Geology, 171: pp 91-111 (2004)

Sornsanam, S. and Sullivan, R.P. Regularity Conditions on Order-Preserving Transformation Semigroups, Southeast Asian Bulletin of Mathematics, 28:2, pp 333-342 (2004)

Stefanov, V.T. Distribution of the amount of genetic material from a chromosomal segment surviving to the following generation, Journal of Applied Probability, 41: pp 345-354 (2004)

Turlach, B.A. Discussion of ``Least Angle Regression'' by Efron, Hastie, Johnstone and Tibshirani, Annals of Statistics, 32:2, pp 481-490 (2004)

Wang, S. A novel fitted finite volume method for the Black-Scholes equation governing option pricing, IMA Journal of Numerical Analysis, 24: pp 699-720 (2004)

Woods, A.R. Subset sum "cubes" and the complexity of primality testing, Theoretical Computer Science, 322: pp 203-219 (2004)

Yao, J. and Gao, J. Computer-Intensive Time-Varying Model Approach to the Systematic Risk of Australian Industrial Stock Returns, Australian Journal of Management, 29:1, pp 121-145 (2004)

Conference Publications

Abraham, R. and Schultz, P. Additive Galois Theory of Modules, Algebra Conference - Venezia 2002, New York, Marcel Dekker, Inc, 236: pp 1-12 (2004)

Charpin, J., Myers, J., Fitt, A.D., Fowkes, N., Ballim, Y. and Patini, A.P. Piped Water Cooling of Concrete Dams, Mathematics in Industry Study Group 2004, Johannesberg, University of the Witwatersrand, 1: pp 69-85 (2004)

Czarn, A.S.T., MacNish, C.K., Vijayan, K. and Turlach, B. Statistical exploratory analysis of genetic algorithms: The importance of interaction, 2004 Congress on Evolutionary Computation, Piscataway, NJ, IEEE Press, 2: pp 2288-2295 (2004)

Fitt, A.D., Fowkes, N.D., Mason, D.P., Myers, T.G., Moss, E.A. and Cheng, J. Fracturing Rock with Ultra High Pressure Water, Mathematics in Industry Study Group 2004, Johannesberg, University of the Witwatersrand, 1: pp 33-49 (2004)

Fowkes, N.D., Mamboundou, H.M., Makinde, O.D., Ballim, Y. and Patini, A. Maturity Effects in Concrete Dams, Mathematics in Industry Study Group 2004, Johannesberg, University of the Witwatersrand, 1: pp 59-67 (2004)

Fowkes, N.D., Mason, D.P. and Napier, J.A.L. Fault Slip in a Mining Context, Mathematics in Industry Study Group 2004, Johannesberg, University of the Witwatersrand, 1: pp 1-21 (2004)

Hanselmann, T., Zaknich, A., Noakes, L. and Savkin, A. A Hybrid Dynamical System with Robust Switching Control by Action Dependent Heuristic Dynamic Programming, IEEE International Joint Conference on Neural Networks, United States, Institute of Electrical and Electronics Engineers Inc, 3: pp 1799-1804 (2004)

Li, X-G., Chan, C.K. and Wang, S. Finite Element Methods with weighted basis functions for Singular Perturbation problems, Third International Workshop on Scientific Computing and Applications, Beijing, China, Science Press, 1: pp 274-285 (2004)

Wang, S. and Miller, J.J.H. Preface, Conference on Boundary and Interior Layers - Computational and Asymptotic Methods (BAIL 2002), Amsterdam, Elsevier, 166: p NA (2004)

Others

Judd, K., Reynolds, C. and Rosmond, T. Toward shadowing in operational weather prediction, :NRL/MR/7530-04018, pp 1-52, Monterey, CA (2004)

Praeger, C.E. Occasional Address to the March 2004 reception for the Order of Australia recipients in the New Years Honours List - March 17 2004, Wisenet Journal, 66:, Canberra, ACT, Australia (2004)