Mathematics and Statistics

Books and Chapters

Baddeley, A.J. and Turner, R. Modelling Spatial Point Patterns in R, Case Studies in Spatial Point Process Modelling, ed A. Baddeley, P. Gregori, J. Mateu, R. Stoica, D. Stoyan, USA, Springer, 185: pp 23-74 (2006)

Brooksbank, P., Niemeyer, A.C. and Seress, A. A reduction algorithm for matrix groups with an extraspecial normal subgroup, Finite Geometries, Groups and Computation, ed A. Hilpke, R. Liebler, T. Penttila, Á. Seress, Germany, Hubert & Co, 1: pp 1-16 (2006)

Collings, S.P., Kozera, R.S. and Noakes, L. Shape Recovery of a Strictly Convex Solid From N-Views, Computer Vision & Graphics, ed Wojciechowski, K., Smolka, B., Palus, H., Kozera, R.S., Skarbek, W., Noakes, L., Dordrecht, The Netherlands, Springer, 32: pp 57-71 (2006)

Giudici, M., Li, C.H., Praeger, C.E., Seress, A. and Trofimov, V. On minimal subdegrees of finite primitive permutation groups, Finite Geometries, Groups and Computation, ed A. Hulpke, R. Liebler, T. Penttila, Á. Seress, Germany, Hubert & co, 1: pp 75-93 (2006)

Klette, R., Kozera, R.S., Noakes, L. and Weickert, Y. Geometric Properties for Incomplete Data, Dordrecht, The Netherlands, Springer (2006)

Kozera, R.S. and Noakes, L. Smooth Interpolation with Cumulative Chord Cubics, Computer Vision & Graphics, ed Wojciechowski, K., Smolka, B., Palus, H., Kozera, R.S., Skarbek, W., Noakes, L., Dordrecht, The Netherlands, Springer, 1: pp 87-94 (2006)

Kozera, R.S. and Noakes, L. Noise Reduction in Photometric Stereo with Non-Distant Light Sources, Computer Vision & Graphics, ed Wojciechowski, K., Smolka, B., Palus, H., Kozera, R.S., Skarbek, W., Noakes, L., Dordrecht, The Netherlands, Springer, 1: pp 103-110 (2006)

Li, C.H. and Seress, A. Constructions of quasiprimitive two-arc transitive graphs of product action type, Finite Geometries, Groups and Computation, ed A. Hilpke, R. Liebler, T. Penttila, Á. Seress, Germany, Hubert & Co, 1: pp 115-123 (2006)

Noakes, L. Spherical Splines, Geometric Properties for Incomplete Data, ed Klette, R., Kozera, R., Noakes, L., Weickert, J., Dordrecht, The Netherlands, Springer, pp 77-101 (2006)

Noakes, L. and Kozera, R.S. Cumulative Chords, Piecewise-Quadratics & Piecewise-Cubics, Geometric Properties for Incomplete Data, ed Klette, R., Kozera, R., Noakes, L., Weickert, J., Dordrecht, The Netherlands, Springer, pp 59-75 (2006)

Penttila, T. Applications of computer algebra to finite geometry, Finite Geometries, Groups and Computation, ed A. Hilpke, R. Liebler, T. Penttila, Á. Seress, Germany, Hubert & Co, 1: pp 203-221 (2006)

Schultz, P. Pure Invariance in Torsion-free Abelian Groups, Abelian Groups, Rings, Modules and Homological Algebra, ed P. Goeters and OMG Jenda, Boca Raton, FL, Chapman & Hall, 249: pp 285-294 (2006)

Journal Articles

Alder, M. Lie Group Transformations of Objects in Video Images, Journal of Mathematical Imaging and Vision, 26: pp 73-84 (2006)

Anderson, M.L., Bassom, A.P. and Fowkes, N. Exact solutions of the Laplace - Young equation, Proceedings of The Royal Society A, 462: pp 3645-3656 (2006)

Arapis, M. and Gao, J. Empirical Comparisons in Short-Term Interest Rate Models Using Nonparametric Methods, Journal of Financial Econometrics, 4:2, pp 310-345 (2006)

Baddeley, A.J., Dorph-Petersen, K.A. and Vedel Jensen, E.B. A note on the stereological implications of irregular spacing of sections, Journal of Microscopy - Oxford, 222:3, pp 177-181 (2006)

Baddeley, R.W., Praeger, C.E. and Schneider, C. Innately Transitive Subgroups of Wreath Products in Product Action, Transactions of the American Mathematical Society, 358:4, pp 1619-1641 (2006)

Barwick, S.G., Brown, M.R. and Penttila, T.J. Flock generalized quadrangles and tetradic sets of elliptic quadrics of PG(3, q)*, Journal of Combinatorial Theory Series A, 113: pp 273-290 (2006)

Blennerhassett, P.J. and Bassom, A.P. The linear stability of high-frequency oscillatory flow in a channel, Journal of Fluid Mechanics, 556: pp 1-25 (2006)

Blyuss, K.B., Ashwin, P., Wright, C.D. and Bassom, A.P. Front propagation in a phase field model with phase-dependent heat absorption, Physica D, 215: pp 127-136 (2006)

Collings, S.P., Kozera, R.S. and Noakes, L. Surface Properties from N-Views of a Strictly Convex Solid, Fundamenta Informaticae, 72: pp 437-452 (2006)

Fowkes, N. and Nener, B. Microwave propagation over the Earch: image inversion, Journal of Engineering Mathematics, 53: pp 253-269 (2006)

Fox, B., Jennings, L.S. and Zomaya, A.Y. On the Modelling and Computation of Nonlinear Multibody Cable Systems, International Journal of Computers and Applications, 28:2, pp 154-161 (2006)

Gao, J. and Hawthorne, K. Semiparametric estimation and testing of the trend of temperature series, Econometrics Journal, 9: pp 332-355 (2006)

Gao, J., Lu, Z. and Tjřstheim, D. Estimation in Semiparametric Spatial Regression, Annals of Statistics, 34:3, pp 1395-1435 (2006)

Giudici, M., Li, C.H. and Praeger, C.E. Locally s-arc transitive graphs with two different quasiprimitive actions, Journal of Algebra, 299: pp 863-890 (2006)

Giudici, M., Li, C.H., Potocnik, P. and Praeger, C.E. Homogeneous factorisations of graphs and digraphs, European Journal of Combinatorics, 27: pp 11-37 (2006)

Giudici, M., Li, C.H. and Praeger, C.E. Characterizing finite locally s-arc transitive graphs with a star normal quotient, Journal of Group Theory, 9: pp 641-658 (2006)

Giudici, M. Codes with a Certain Weight-preserving Transitive Group of Automorphisms, Designs Codes and Cryptography, 39: pp 163-172 (2006)

Giudici, M., Li, C.H., Praeger, C.E., Seress, A. and Trofimov, V. Limits of Vertex-transitive Graphs, Contemporary Mathematics, 402: pp 159-169 (2006)

Giudici, M. Factorisations of sporadic simple groups, Journal of Algebra, 304: pp 311-323 (2006)

Giudici, M., Li, C.H. and Praeger, C.E. Locally 2-Arc Transitive Graphs, Homogeneous Factorizations, and Partial Linear Spaces, Journal of Combinatorial Designs, 14: pp 139-148 (2006)

Hills, C.P. and Bassom, A.P. The asymptotics of neutral curve crossing in Taylor-Dean flow, Zeitschrift für angewandte Mathematik und Physik, 57: pp 76-93 (2006)

Hu, B.Q. and Wang, S. A Novel Approach in Uncertain Programming Part II: A Class of Constrained Nonlinear Programming Problems with Interval Objective Functions, Journal of Industrial and Management Optimization, 2:4, pp 373-385 (2006)

Hu, B.Q. and Wang, S. A Novel Approach in Uncertain Programming Part I: New Arithmetic and Order relation for Interval Numbers, Journal of Industrial and Management Optimization, 2:4, pp 351-371 (2006)

Huang, C-S., Wang, S., Chen, C.S. and Li, Z-C. A radial basis collocation method for Hamilton-Jacobi-Bellman equations, Automatica, 42: pp 2201-2207 (2006)

Huang, C-S., Hung, C-H. and Wang, S. A Fitted Finite Volume Method for the Valuation of Options on Assets with Stochastic Volatilities, Computing, 77: pp 297-320 (2006)

Huang, C., Yu, G., Wang, S. and Wang, X. Disruption Management for Supply Chain Coordination with Exponential Demand Function, Acta Mathematica Scientia, 26B:4, pp 655-669 (2006)

Ittharat, J. and Sullivan, R.P. Factorisable Semigroups of Linear Transformations, Algebra Colloquium, 13:2, pp 295-306 (2006)

Judd, K.T. and Nakamura, T. Degeneracy of time series models: The best model is not always the correct model, Chaos, 16:3, p 033105 (3 pages) (2006)

Keady, G. and Pakes, A. On a Conjecture of De La Grandville and Solow Converning Power Means, Journal of Inequalities in Pure and Applied Mathematics, 7:3, p Articel 98 (2006)

Law, M., Niemeyer, A.C., Praeger, C.E. and Seress, A. A Reduction Algorithm for Large-Base Primitive Permutation Groups, Journal of Computation and Mathematics, 9: pp 159-173 (2006)

Lawrance, I.C., Sherrington, C. and Murray, K. Poor correlation between clinical impression, the small colonic polyp and their neoplastic risk, Journal of Gastroenterology and Hepatology, 21: pp 563-568 (2006)

Li, C.H., Lu, Z.P. and Zhang, H. Tetravalent edge-transitive Cayley graphs with odd number of vertices, Journal of combinatorial Theory Series B, 96: pp 164-181 (2006)

Li, C.H. Finite Edge-Transitive Cayley Graphs and Rotary cayley Maps, Transactions of the American Mathematical Society, 358:10, pp 4605-4635 (2006)

Lim, T.K. Arc-Transitive Homogeneous Factorizations and Affine Planes, Journal of Combinatorial Designs, 14: pp 290-300 (2006)

Longstaff, W.E., Niemeyer, A.C. and Panaia, O. On the Lengths of Pairs of Complex Matrices of Size at most Five, Bulletin of the Australian Mathematical Society, 73: pp 461-472 (2006)

Ma, T. Infinite Dimensional Complex Analysis as a Framework for Products of Distributions, Bulletin of the Institute of Mathematics, Academia Senica (New Series), 1:3, pp 413-428 (2006)

Ma, W-K., Vo, B-N., Singh, S.S. and Baddeley, A.J. Tracking an Unknown Time-Varying Number of Speakers Using TDOA Measurements: A Random Finite Set Approach, IEEE Transactions on Signal Processing, 54:9, pp 3291-3304 (2006)

McCaskie, P.A., Cadby, G., Hung, J., McQuillan, B.M., Chapman, C.M.L., Carter, K.W., Thompson, P.L., Palmer, L.J. and Beilby, J.P. The C-480T hepatic lipase polymorphism is associated with HDL-C but not with risk of coronary heart disease, Clinical Genetics, 70: pp 114-121 (2006)

Mendes-Gonçalves, S. and Sullivan, R.P. Maximal Inverse Subsemigroups of the Symmetric Inverse Semigroup on a Finite-Dimensional Vector Space, Communications in Algebra, 34: pp 1-15 (2006)

Meuleners, L.B., Harding, A., Lee, A.H. and Legge, M. Fragility and crash over-representation among older drivers in Western Australia, Accident Analysis and Prevention, 38: pp 1006-1010 (2006)

Nakamura, T., Judd, K., Mees, A.I. and Small, M. A Comparative Study of Information Criteria for Model Selection, International Journal of Bifurcation and Chaos, 16:8, pp 2153-2175 (2006)

Niemeyer, A.C. and Praeger, C.E. On the frequency of permutations containing a long cycle, Journal of Algebra, 300: pp 289-304 (2006)

Noakes, L. and Popiel, T. Quadratures and cubics in SO(3) and SO(1,2), IMA Journal of Mathematical Control & Information, 23: pp 463-473 (2006)

Noakes, L. Duality and Riemannian cubics, Advances in Computational Mathematics, 25: pp 195-209 (2006)

Noakes, L. Lax Constraints in Semisimple Lie Groups, Quarterly Journal of Mathematics, 57: pp 527-538 (2006)

Pasternak, E., Dyskin, A.V. and Estrin, Y.S. Deformations in Transform Faults with Rotating Crustal Blocks, Pure and Applied Geophysics, 163: pp 2011-2030 (2006)

Paula, M., Marques-Smith, O. and Sullivan, R.P. Congruences on Semigroups generated by Injective Nilpotent Transformations, Bulletin of the Australian Mathematical Society, 74: pp 393-409 (2006)

Popiel, T. and Noakes, L. C2 spherical Bézier splines, Computer Aided Geometric Design, 23: pp 261-275 (2006)

Popiel, T. On parametric smoothness of generalised B-spline curves, Computer aided geometric design, 23: pp 655-668 (2006)

Praeger, C.E. and Zhou, S. Imprimitive flag-transitive symmetric designs, Journal of Combinatorial Theory Series A, 113: pp 1381-1395 (2006)

Praeger, C.E. Seminormal and subnormal subgroup lattices for transitive permutation groups, Journal of the Australian Mathematical Society, 80: pp 45-63 (2006)

Richardson, S. and Wang, S. Numerical solution of Hamilton-Jacobi-Bellman equations by an exponentially fitted finite volume method, Optimization, 55:1-2, pp 121-140 (2006)

Said, M., Jennings, L.S. and Koh, M.T. Computational Models satisfying relative angle constraints for 2-dimensional segmented bodies, Anziam Journal, 47: pp 541-554 (2006)

Scales, P. and Keady, G. Watt quadrilaterals and the 2005 IMO, The Mathematical Gazette, 90:519, pp 488-490 (2006)

Scott, C.R., Goonewardene, M.S. and Murray, K. Influence of lips on the perception of malocclusion, American Journal of Orthodontics and Dentofacial Orthopedics, 130:2, pp 152-162 (2006)

Stefanov, V.T. Exact Distributions for Reward Functions on Semi-Markov and Markov Additive Processes, Journal of Applied Probability, 43: pp 1053-1065 (2006)

Turlach, B.A. An even faster algorithm for ridge regression of reduced rank data, Computational Statistics & Data Analysis, 50: pp 642-658 (2006)

Wadee, M.K., Wadee, M.A., Bassom, A.P. and Aigner, A.A. Longitudinally inhomogeneous deformation patterns in isotropic tubes under pure bending, Proceedings of the Royal Society A, 462: pp 817-838 (2006)

Wang, G. and Wang, S. On Stability and Convergence of a Finite Difference Approximation to a Parabolic Variational Inequality Arising From American Option Valuation, Stochastic Analysis and Applications, 24: pp 1185-1204 (2006)

Wang, S., Yang, X.Q. and Teo, K.L. Power Penalty Method for a Linear Complementarity Problem Arising from American Option Valuation, Journal of Optimization Theory and Applications, 129:2, pp 227-254 (2006)

Conference Publications

Keady, G., Fitz-Gerald, G., Gamble, G. and Sangwin, C. Computer-aided assessment in mathematical sciences, Assessment in Science Teaching and Learning, Sydney, NSW, Australia, UniServe Science, 1: pp 69-73 (2006)

Wojciechowski, K., Smolka, B., Palus, H., Kozera, R.S., Skarbek, W. and Noakes, L. Computer Vision and Graphics, Computer Vision and Graphics International Conference, ICCVG 2004, Dordrecht, The Netherlands, Springer, 1: pp 1-1131 (2006)