Research Publications for 2008

Chapters in Books

B1. Daners D (2008) Domain perturbation for linear and semi-linear boundary value problems, Stationary partial differential equations, Volume 6. Handbook of Differential Equations, Elsevier, Amsterdam, ISBN 978-0-444-53241-1, 1–81.

B1. Gibson WG, Farnell L and Bennett MR (2008) A quantitative model of ATP-mediated calcium wave propagation in astrocyte networks, Mathematical Modeling of Biological Systems, Vol. 2. Modeling and Simulation in Science, Engineering and Technology, Birkhauser, Boston, ISBN 978-0-8176-4555-7, 193–204.

B1. Yang YH (2007) Microarrays - Planning your experiment, Clinical Bioinformatics. Methods in Molecular Medincine, Humana Press, NJ USA, ISBN 978-1-58829-791-4, 71–85.

Journal Articles

C1. Achar PN and Henderson A (2008) Orbit closures in the enhanced nilpotent cone. Advances in Mathematics, 219(1), 27–62.

C1. An J, Cannon JJ, O'Brien EA and Unger WR (2008) The Alperin weight conjecture and Dade's conjecture for the simple group Fi₂₄'. LMS Journal of computation and mathematics, 11, 100–145.

C1. Arendt W and Daners D (2008) The Dirichlet problem by variational methods. Bulletin of the London Mathematical Society, 40(1), 51–56.

C1. Arendt W and Daners D (2008) Varying domains: stability of the Dirichlet and the Poisson problem. Discrete and Continuous Dynamical Systems - Series A, 21(1), 21 – 39. MR2379455

C1. Barnes DW (2008) Engel Subalgebras of n-Lie Algebras. Acta Mathematica Sinica English Series, 24(1), 159–166. MR2384240

C1. Bennett MR, Buljan V, Farnell L and Gibson WG (2008) Purinergic junctional transmission and propagation of calcium waves in cultured spinal cord microglial networks. Purinergic Signalling, 4, 47–59.

C1. Bennett MR, Farnell L and Gibson WG (2008) Origins of blood volume change due to glutamatergic synaptic activity at astrocytes abutting on arteriolar smooth muscle cells. Journal of Theoretical Biology, 250, 172–185.

C1. Bennett MR, Farnell L and Gibson WG (2008) Origins of the BOLD changes due to synaptic activity at astrocytes abutting arteriolar smooth muscle. Journal of Theoretical Biology, 252, 123–130.

C1. Bertram WK (2008) Measuring time dependent volatility and cross-sectional correlation in Australian equity returns. Physica A, 387(13), 3183–3191.

C1. Billig Y, Molev AI and Zhang RB (2008) Differential equations in vertex algebras and simple modules for the Lie algebra of vector fields on a torus. Advances in Mathematics, 218, 1972–2004.

C1. Borovskikh YV and Robinson J (2008) Large deviations of bootstrapped U-statistics. Journal of Multivariate Analysis, 99, 1793–1806.

C1. Borovskikh YV and Weber NC (2008) Berry-Esseen type bounds for trimmed U-statistics. Journal of Statistical Planning and Inference, 138, 1059–1071. MR2384505

C1. Borovskikh YV and Weber NC (2008) Asymptotic Distributions of Non-Degenerate U-Statistics on Trimmed Samples. Statistics and Probability Letters, 78(4), 336–346.

C1. Cameron DA, Ivers DJ, Evans TA and Myerscough MR (2008) Optimal reproduction strategies in two species of mound-building termites. Bulletin of Mathematical Biology, 70(1), 189–209.

C1. Carls R, Kohel DR and Lubicz D (2008) Higher-dimensional 3-adic CM construction. Journal of Algebra, 319(3), 971–10006.

C1. Chaichian M, Kulish PP, Tureanu A, Zhang RB and Zhang X (2008) Noncommutative fields and actions of twisted Poincar/'e algebra. Journal of Mathematical Physics, 49(4), 16 pp.

C1. Cheng MY and Raimondo M (2008) Kernel methods for optimal change-points estimation in derivatives. Journal of Computational and Graphical Statistics, 17(1), 1–20.

C1. Cirstea FC and Trombetti C (2008) On the Monge-Ampere equation with boundary blow-up: existence, uniqueness and asymptotics. Calculus of Variations and Partial Differential Equations, 31(2), 167–186.

C1. Dancer EN (2008) Finite Morse index solutions of exponential problems. Annales de l'institut H Poincaré Analyse Non Linéaire, 25(1), 173. MR2383085

C1. Dancer EN (2008) Finite Morse index solutions of supercritical problems. Journal fur die reine und angewandte Mathematik, 620, 213–233.

C1. Dancer EN and Santra S (2008) Existence and multiplicity of solutions for a weakly coupled radial system in a ball. Communications on Pure and Applied Analysis, 7(4), 787–793.

C1. Dritschel DG, Scott RK, Macaskill C, Gottwald GA and Tran CV (2008) Unifying theory for vortex dynamics in two-dimensional turbulence. Physical Review Letters, 101, 094501.

C1. Easdown D, East J and FitzGerald DG (2008) A presentation of the dual symmetric inverse monoid. International Journal of Algebra Computation, 18(2), 357–374.

C1. Field CM, Joshi N and Nijhoff FW (2008) q-difference equations of Kd V type and Chazy-type second-degree difference equations. Journal of Physics A: Mathematical and Theoretical, 41(33), 13 pages.

C1. Field C, Robinson J and Ronchetti E (2008) Saddlepoint approximations for multivariate M-estimates with applications to bootstrap accuracy. Annals of the Institute of Statistical Mathematics, 60, 205–224.

C1. Finlay R and Seneta E (2008) Stationary-Increment Variance-Gamma and t Models: Simulation and Parameter Estimation. International Statistical Review, 76(2), 167–186.

C1. Fraser WB and Heijden GHM (2008) On the theory of localised snarling instabilities in false-twist yarn processes. Journal of Engineering Mathematics, 61, 81–95.

C1. Gottwald GA (2008) Bifurcation analysis of a normal form for excitable media: Are stable dynamical alternans on a ring possible?. Chaos, 18(1), 013129.

C1. Gottwald GA and Melbourne I (2008) Comment on "Reliability of the 0-1 test for chaos". Physical Review E, 77, 028201.

C1. Henderson A (2008) The symmetric group representation on cohomology of the regular elements of a maximal torus of the special linear group. Journal of the Australian Mathematical Society, 84, 85–98.

C1. Henderson A and Rains E (2008) The cohomology of real De Concini-Procesi models of Coxeter type. International Mathematics Research Notices, 2008(rnn001), 29 pages.

C1. Hillman JA (2008) Finitely dominated covering spaces of 3- and 4-manifolds. Journal of the Australian Mathematical Society, 84, 99–108.

C1. Hu Z, Ma C and Robinson J (2008) Empirical saddlepoint approximations of the Studentized mean under stratified random sampling. Statistics and Probability Letters, 78, 396–401.

C1. Isaev AP, Molev AI and Os'kin AF (2008) On the idempotents of Hecke algebras. Letters in Mathematical Physics, 85, 79–90.

C1. Kennedy JB (2008) A Faber-Krahn inequality for the Laplacian with Generalised Wentzell boundary conditions. Journal of Evolution Equations, 8(3), 557–582.

C1. Kron B and Moller RG (2008) Analogues of Cayley graphs for topological groups. Mathematische Zeitschrift, 258, 637–675. MR2369049

C1. Kurdyka K and Paunescu L (2008) Hyperbolic polynomials and multiparameter real-analytic perturbation theory. Duke Mathematical Journal, 141(1), 123–149. MR2372149

C1. Lehrer GI (2008) Rational points and Coxeter group actions on the cohomology of toric varieties. Annales de l'Institut Fourier (Grenoble), 58(2), 671–688.

C1. Lewis CC, Yang YH, Huang X, Banerjee SK, Blackburn MR, Baluk P, McDonald DM, Blackwell TS, Nagabhushanam V, Peters W, Voehringer D and Erle DJ (2008) Disease-specific gene expression profiling in multiple models of lung disease. American journal of respiratory and critical care medicine, 177(4), 376–387.

C1. Mathas A (2008) Seminormal forms and Gram determinants for cellular algebras. Journal für die Reine und Angewandte Mathematik, 619, 141–173.

C1. Mathas A and Orellana R (2008) Cyclotomic Solomon algebras. Advances in Mathematics, 219, 450–487.

C1. Melbourne I and Gottwald GA (2008) Power spectra for deterministic chaotic dynamical systems. Nonlinearity, 21, 179–189. MR2376324

C1. Molev AI (2008) On the fusion procedure for the symmetric group. Reports on Mathematical Physics, 61(2), 181–188.

C1. Molev AI and Ragoucy E (2008) Symmetries and invariants of twisted quantum algebras and associated Poisson algebras. Reviews in Mathematical Physics, 20(2), 173–198.

C1. Müller S and Rufibach K (2008) On the max-domain of attraction of distributions with log-concave densities. Statistics and Probability Letters, 78, 1440–1444.

C1. Petrov VV and Robinson J (2008) Large Deviations for Sums of Independent Non Identically Distributed Random Variables. Communications in Statistics -Theory and Methods, 37, 2984–2990.

C1. Rubin J, Wechselberger M and (2008) The selection of mixed-mode oscillations in a Hodgkin-Huxley model with multiple timescales. Chaos, 18, 015105.

C1. Shitan M and Peiris MS (2008) Generalized Autoregressive (GAR) Model: A Comparison of Maximum Likelihood and Whittle Estimation Procedures Using a Simulation Study,. Communications in Statistics, Simulation and Computation, 37, 560–570..

C1. Thavaneswaran A, Peiris MS and Appadoo S (2008) Random Coefficient Volatility Models. Statistics and Probability Letters, 78, 582–593.

C1. Thavaneswaran A, Peiris MS and Singh J (2008) Derivation of Kurtosis and Option Pricing Formulae for Popular Volatility Models with Applications in Finance. Communications in Statistics. Theory and Methods, 37(1), 1799–1814.

C1. Treharne PA and Fokas AS (2008) The generalised Dirichlet to Neumann map for the KdV equation on the half-line. Journal of nonlinear science, 18(2), 191–217.

C1. Vanderhoff JC, Nomura KK, Rottman JW and Macaskill C (2008) Doppler Spreading of Internal Gravity Waves by an Inertia-Wave Packet. Journal of Geophysical Research: Oceans, 113, C05018.

C1. Watkins M (2008) Some heuristics about elliptic curves. Experiment. Math., 17(1), 105–125.

C1. Zhang RB (2008) Orthosymplectic Lie superalgebras in superspace analogues of quantum Kepler problems. Communications in Mathematical Physics, 280(2), 545–562.

C1. Zhang RB and Zhang G (2008) Equivariant vector bundles on quantum homogeneous spaces. Mathematical research letters, 15(2), 297–307.

C2. Seneta E (2008) Comment. Journal of the American Statistical Association, 103(481), 13–15.

Conference Proceedings

E1. Britton S and Henderson J (2008) Student Expectation and Usage of On-Line Quizzes in First Year Undergraduate Mathematics Courses.. 11th Internatial Conference on Mathematical Education (ICME 11), Proceedings of the ICME 11 conference, Ansie Harding (ed.) , Topic Study Group 5, ICME 11, ISBN N/A, 1–9.

E1. Fraser WB, Macaskill C, McGuinness M and Thornton A (2008) Strip track-off and buckling between transport rollers. Mathematics and Statistics in Industry Study Group MISG 2007, Proceedings of the Mathematics and Statistics in Industry Study Group MISG 2007, T. Marchant, M. Edwards and G. Mercer (ed.) , Mathematics and Statistics in Industry Study Group, School of Mathematics and Statistics, University of Wollongong, ISBN 978-0-646-48555-3, 13–31.

E1. Futorny V, Molev AI and Ovsienko S (2008) Gelfand-Tsetlin Bases for Representations of Finite W-Algebras and Shifted Yangians. VII International Workshop on Lie theory and its applications in physics, Lie theory and its applications in physics VII, H.-D. Doebner and V.K. Dobrev (ed.) , Heron Press, ISBN 978-954-580-240-9/1310-0157, 352–363.

E2. Fukui T, Kurdyka K and Paunescu L (2008) On Injectivity of Tame Mappings. Workshop on Real and Complex Singularities, The second Japanese-Australian Workshop on Real and Complex Singularities, S. Koike, T. Fukui, L. Paunescu and A. Harris (ed.) , RIMS Kokyuroku 1610, Research Institute for Mathematical Sciences, ISBN 1880-2818, 29–31.

E2. Kuo TC and Paunescu L (2008) The Enriched Riemann Sphere and Stability. Workshop on Real and Complex Singularities, The second Japanese-Australian Workshop on Real and Complex Singularities, S. Koike, T. Fukui, L. Paunescu and A. Harris (ed.) , RIMS Kokyuroku 1610, Research Institute for Mathematical Sciences, ISBN 1880-2818, 80–83.

E4. Seneta E (2008) The "Inverse Probability" Controversy and Lewis Carroll. Thirty-second Annual Meeting,, Proceedings of the Canadian Society for History and Philosophy of Mathematics, Vol.20, Antonella Cupillari (ed.) , Proceedings of the Canadian Society for History and Philosophy of Mathematics, ISBN Not known, 265–271..