# Research Publications for 2004

## Chapters in Books

B1. Cîrstea FC and Niculescu CP (2004) Existence and non-existence results for some degenerate quasilinear problems with indefinite non-linearities, Differential equations and applications. Differential Equations and Applications, Nova Sci. Publ., Hauppauge, NY, ISBN 1-59033-859-6, 63–80.

B1. Kruskal MD, Joshi N and Halburd RG (2004) Analytic and Asymptotic Methods for Nonlinear Singularity Analysis: A Review and Extensions of Tests for the Painlevé Property, Integrability of Nonlinear Systems. Lecture Notes in Physics, Springer/Verlag, Berlin, Heidelberg, ISBN 3-540-20630-2, 175–208.

B1. Seneta E (2004) Buniakovsky's probability book. Reviews. Quality control. Regularity varying sequences, Viktor Yakovych Bunyakovsky (on the 200th anniversary of his birth). Mathematics and its Applications, Institute of Mathematics, Kiev, Kiev, Ukraine, ISBN 966-02-3380-9, 149–164.

## Journal Articles

C1. Abel RJR, Combe D and Palmer WD (2004) Bhaskar Rao designs and the groups of order 12. Australasian Journal of Combinatorics, 29, 301–308. MR2037354

C1. Abel RJR, Combe D and Palmer WD (2004) Generalized Bhaskar Rao designs and dihedral groups. Journal of Combinatorial Theory, Series A, 106, 145–157. MR2037354

C1. Alexander DM, Bourke PD, Konstandatos O and Wright JJ (2004) Intrinsic connections in tree shrew V1 imply a global to local mapping. Vision Research, 44, 857–876.

C1. Antony N (2004) On the injectivity of the Vassiliev homomorphism of singular Artin monoids. Bulletin of the Australian Mathematical Society, 70, 401–422. MR2103972

C1. Ariki S and Mathas A (2004) The representation type of Hecke algebras of type B. Advances in Mathematics, 181, 134–159. MR2020657

C1. Bahturin Y and Molev AI (2004) Casimir elements for some graded Lie algebras and superalgebras. Czechoslovak Journal of Physics, 54, 1159 – 1164. MR2123586

C1. Balasuriya S (2004) An analytical study of general hyper-diffusivity and barotropic eddies. Geophysical and Astrophysical Fluid Dynamics, 98, 39–62. MR2045869

C1. Bennett MR, Farnell L and Gibson WG (2004) The facilitated probability of quantal secretion within an array of calcium channels of an active zone at the amphibian neuromuscular junction. Biophysical Journal, 86, 2674–2690.

C1. Bennett MR, Farnell L, Gibson WG and Blair DH (2004) A quantitative description of the diffusion of noradrenaline in the media of blood vessels following its release from sympathetic varicosities. Journal of Theoretical Biology, 226, 359–372. MR2068827

C1. Bertram WK (2004) An empirical investigation of Australian Stock Exchange Data. Physica A, 341, 533–546.

C1. Brown G, Dai F and Móricz F (2004) Strong approximation by Fourier-Laplace series on the unit sphere $$S_{[n-1]}$$. Acta Mathematica Hungarica, 102, 91–115. MR2038172

C1. Brown G, Dai F and Móricz F (2004) The maximal Riesz, Fejer, and Cesaro operators on real hardy spaces. Journal of Fourier Analysis and Applications, 10, 27–50. MR2045523

C1. Brown G and Yin Q (2004) Lebesque measure of sum sets - the basic result for coin-tossing. Glasgow Mathematical Journal, 46, 345–353. MR2062616

C1. Buchen PW (2004) The pricing of dual-expiry exotics. Quantitative Finance, 4, 101–108. MR2055964

C1. Cîrstea FC (2004) An extreme variation phenomenon for some nonlinear elliptic problems with boundary blow-up. Comptes Rendus Mathématique. Académie des Sciences. Paris, 339(10), 689–694. MR2110937

C1. Cîrstea FC and Radulescu V (2004) Extremal singular solutions for degenerate logistic-type equations in anisotropic media. Comptes Rendus Mathématique. Académie des Sciences. Paris, 339(2), 119–124. MR2078301

C1. Cannon JJ, Eick B and Leedham-Green CR (2004) Special polycyclic generating sequences for finite soluble groups. Journal of Symbolic Computation, 38(5), 1445–1460. MR2168723

C1. Cannon JJ and Holt DF (2004) Computing maximal subgroups of finite groups. Journal of Symbolic Computation, 37, 589–609. MR2094616

C1. Cao D, Noussair ES and Yan S (2004) On the profile of solutions for an elliptic problem arising in nonlinear optics. Discrete and Continuous Dynamical Systems, 11, 649–666. MR2083437

C1. Carberry E and McIntosh I (2004) Minimal Lagrangian 2-tori in CP_2 come in real families of every dimension.. Journal of the London Mathematical Society, 69(2), 531–544. MR2040620

C1. Caro D (2004) Coherence differentielle des F-isocristaux unites. Comptes Rendus Mathématique. Académie des Sciences. Paris, 338, 145–150. MR2038284

C1. Cartwright DI and Woess W (2004) Isotropic random walks in a building of type $$\tilde A_d$$. Mathematische Zeitschrift, 247, 101–135. MR2054522

C1. Champneys AR and Fraser WB (2004) Resonance tongue interaction in the parametrically excited column. SIAM Journal on Applied Mathematics, 65, 267–298. MR2112398

C1. Chan JSK, Lam Y and Leung DYP (2004) Statistical inference for geometric processes with gamma distributions. Computational Statistics & Data Analysis, 47(3), 565–581. MR2086485

C1. Cheng SJ, Lam N and Zhang RB (2004) Character formula for infinite-dimensional unitarizable modules of the general linear superalgebra. Journal of Algebra, 273(2), 780–805. MR2037723

C1. Cheng SJ and Zhang RB (2004) Howe duality and combinatorial character formula for orthosymplectic Lie superalgebras. Advances in Mathematics, 182, 124–172. MR2028498

C1. Cheng SJ and Zhang RB (2004) An Analogue of Kostant's u-Cohomology Formula for the General Linear superalgebra. International Mathematics Research Notices, 1, 31–53. MR2036954

C1. Chi WC, Lai KF and Tan KS (2004) Integral points on elliptic curves over function fields. Journal of the Australian Mathematical Society, 77, 197–208. MR2083745

C1. Cohen A, Murray SH and Taylor DE (2004) Computing in groups of Lie type. Mathematics of Computation, 73, 1477–1498. MR2047097

C1. Combe D, Nelson AM and Palmer WD (2004) Magic labellings of graphs over finite abelian groups. Australasian Journal of Combinatorics, 29, 259–271. MR2037352

C1. Cowan R (2004) A mosaic of triangular cells formed with sequential splitting rules. Journal of Applied Probability, 41A, 3–15. MR2057561

C1. Crooks ECM, Dancer EN, Hillhorst D, Mimura M and Ninomiya H (2004) Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions. Nonlinear Analysis Real World Applications, 5, 645–665. MR2079274

C1. Cushman R, Dullin HR, Giacobbe A, Holm DD, Joyeux M, Lynch P, Sadovskii DA and Zhilinskii BI (2004) The CO2 molecule as a quantum realization of the 1:1:2 resonant swing-spring with monodromy. Phys. Rev. Lett., 93, 24302.

C1. Dai W (2004) Asymptotics of the sample mean and sample covariance of long-range-dependent series. Journal of Applied Probability, 41A, 383–392. MR2057588

C1. Dancer EN (2004) Stable and finite Morse index solutions on $$\mathbb{R}^n$$ or on bounded domains with small diffusion II. Indiana University Mathematics Journal, 53, 97–108. MR2048185

C1. Dancer EN (2004) Stable solutions on $$\mathbb{R}^n$$ and the primary branch of some non-self-adjoint convex problems. Differential and Integral Equations, 17, 961–970. MR2082455

C1. Dancer EN (2004) On connecting orbits for competing species equations with large interactions. Topological Methods in Nonlinear Analysis, 24, 1–19. MR2111979

C1. Dancer EN and Yan S (2004) Construction of various types of solutions for an elliptic problem. Calculus of Variations and Partial Differential Equations, 20, 93–118. MR2047147

C1. Dancer EN and Yan S (2004) A minimization problem associated with elliptic systems of FitzHugh-Nagumo type. Annales de l'Institut Henri Poincaré, Analyse Non Linéaire, 21, 237–253. MR2047356

C1. Dobrev VK, Miteva AM, Zhang RB and Zlatev BS (2004) On the unitarity of $$D=9,\, 10,\, 11$$ conformal supersymmetry. Czechoslovak Journal of Physics, 54, 1249–1255. MR2123679

C1. Donoho D and Raimondo M (2004) Translation Invariant Deconvolution in a Periodic Setting. The International Journal of Wavelets, Multiresolution and Information Processing, 2(4), 415–431. MR2104873

C1. Du Y and Yan S (2004) Boundary blow-up solutions with a spike layer. Journal of Differential Equations, 205, 156–184. MR2094382

C1. Duan Y and Liu X (2004) Knotlike strings in the early universe. Journal of High Energy Physics (JHEP), 02, 028. MR2046786

C1. Duan Y, Liu X and Yang J (2004) Knotlike Vortex Lines in Spinor BEC. Annals of Physics, 312, 84. MR2499171

C1. Dullin HR (2004) Poisson Integrator for Symmetric Tops. Regular and Chaotic Dynamics, 9, 255–264.

C1. Dullin HR and Fasso F (2004) An algorithm for detecting Directional Quasi-Convexity. BIT Numerical Analysis, 44, 571–584.

C1. Dullin HR, Giacobbe A and Cushman R (2004) Monodromy in the resonant swing spring. Physica D, 190, 15–37.

C1. Dullin HR, Gottwald GA and Holm DD (2004) On asymptotically equivalent shallow water wave equations. Physica D, 190, 1–14. MR2043789

C1. Dullin HR, Gottwald GA and Holm DD (2004) On asymptotically equivalent shallow water wave equations. Physica D, 190, 1–14.

C1. Dullin HR and Matveev V (2004) A new integrable system on the sphere. Math Research Letters, 11, 715–722.

C1. Dullin HR and Vu Ngoc S (2004) Vanishing Twist near Focus-Focus points. Nonlinearity, 17, 1777–1786.

C1. Durrant CJ and McCloughan J (2004) A method of evolving synoptic maps of the solar magneticf field, II. Comparison with observations of the polar fields. Solar Physics, 219, 55–78.

C1. Durrant CJ, Turner JPR and Wilson PR (2004) The mechanism involved in the reversals of the sun's polar magnetic fields. Solar Physics, 222, 345–362.

C1. Easdown D and Lavers TG (2004) The inverse braid monoid. Advances in Mathematics, 186, 438–455. MR2073914

C1. Edelman D and O'Brian NR (2004) Tote arbitrage and lock opportunities in racetrack betting. European Journal of Finance, 10(5), 370–378.

C1. Erdmann K and Parker AE (2004) On the global and $$\nabla$$-filtration dimensions of quasi-hereditary algebras. Journal of Pure and Applied Algebra, 194, 95–111. MR2086075

C1. Farnell L and Gibson WG (2004) Monte Carlo simulation of diffusion in a spatially nonhomogeneous medium: correction to the Gaussian steplength. Journal of Computational Physics, 198, 65–79. MR2071389

C1. Fieker C (2004) Minimizing representations over number fields. Journal of Symbolic Computation, 38, 833–842. MR2094558

C1. Gottwald GA and Kramer L (2004) Propagation failure in one- and two-dimensional excitable media. Chaos, 14, 855–863. MR2091184

C1. Gottwald GA and Melbourne I (2004) A new test for chaos in deterministic systems. Royal Society of London. Proceedings, Series A, 460, 603–611. MR2034658

C1. Graham JJ and Lehrer GI (2004) Cellular algebras and diagram algebras in representation theory. Advanced Studies in Pure Mathematics, 40, 141–173. MR2074593

C1. Hall P and Wang Q (2004) Exact convergence rate and leading term in central limit theorem for Student's t statistic. The Annals of Probability, 32, 1419–1437. MR2060303

C1. Hempel JA (2004) A pseudo-trigonometry related to Ptolemy's theorem and the hyperbolic geometry of punctured spheres. Annales Polonici Mathematici, 84, 147–167. MR2112255

C1. Henderson A (2004) Representations of wreath products on cohomology of De Concini-Procesi compactifications. International Mathematics Research Notices, 20, 983–1021. MR2036424

C1. Hillman JA (2004) $$PD_4$$-complexes with fundamental group a $$PD_2$$-group. Topology and its Applications, 142, 49–60. MR2071292

C1. Hillman JA (2004) An indecomposable $$PD_3$$-complex: II. Algebraic and Geometric Topology, 4, 1103–1109. MR2113897

C1. Hillman JA (2004) Homomorphisms of nonzero degree between $$PD_n$$-groups. Journal of the Australian Mathematical Society, 77, 335–348. MR2099805

C1. Hillman JA (2004) $$PD_4$$-complexes with free fundamental group. Hiroshima Mathematical Journal, 34, 295–306. MR2120518

C1. Hobert JP, Marchev D and Schweinsberg J (2004) Stability of the tail Markov chain and the evaluation of improper priors for an exponential rate parameter. Bernoulli, 10(3), 549–564.

C1. Hong SH, Eades P and Hillman JA (2004) Linkless symmetric drawings of series parallel digraphs. Computational Geometry, 29, 191–221. MR2095374

C1. Howlett RB and Yin Y (2004) Inducing W-graphs II. Manuscripta Mathematica, 115, 495–511. MR2103664

C1. Ivanoff BG and Weber NC (2004) Predictable sampling for partially exchangeable arrays. Statistics and Probability Letters, 70, 95–108. MR2100077

C1. James GD and Mathas A (2004) Symmetric group blocks of small defect. Journal of Algebra, 279, 566–612. MR2078931

C1. James ME, Rastogi RG and Winch DE (2004) Magnetic disturbance effect on geomagnetic field at low latitudes. Indian Journal of Radio and Space Physics, 33, 88–94.

C1. Jermiin LS, Ho SYW, Abebneh F, Robinson J and Larkum AWD (2004) The Biasing effect of Compositional Heterogeneity on Phylogenetic Estimates May be Underestimated. Systematic Biology, 53, 6.

C1. Johnstone IM, Kerkyacharian G, Picard D and Raimondo M (2004) Wavelet deconvolution in a periodic setting. Journal of the Royal Statistical Society, Series B. Methodological, 66, 547 – 573. MR2088290

C1. Johnstone IM and Raimondo M (2004) Periodic boxcar deconvolution and diophantine approximation. The Annals of Statistics, 32, 1781–1804. MR2102493

C1. Jones JC, Myerscough MR, Graham S and Oldroyd BP (2004) Honey bee nest thermoregulation: diversity promotes stability. Science, 305, 402–404.

C1. Joshi N (2004) The second Painlevé hierarchy and the stationary KdV hierarchy. Publications of the Research Institute for Mathematical Sciences, 40, 1039–1061. MR2074710

C1. Joshi N, Kajiwara K and Mazzocco M (2004) Generating function associated with the determinant formula for the solutions of the Painlevé II equation. Astérisque, 297, 67–78. MR2135675

C1. Joshi N, Nijhoff FW and Ormerod C (2004) Lax pairs for ultra-discrete Painlevé cellular automata. Journal of Physics. A. Mathematical and General, 37, L559–L565. MR2098040

C1. Karoussis IK, Müller S, Salvi GE, Heitz-Mayfield LJA, Braegger U and Lang NP (2004) Association between periodontal and peri-implant conditions: a 10-year prospective study. Clinical Oral Implants Research, 15, 1–7.

C1. Keich U, Li M, Ma B and Tromp J (2004) On spaced seeds for similarity search. Discrete applied mathematics, 138(3), 253–263. MR2049648

C1. Kelly GM and Lack S (2004) Monoidal functors generated by adjunctions, with applications to transport of structure. Fields Institute Communications, 43, 319–340. MR2075592

C1. Kitaev AV (2004) Quadratic transformations for the third and fifth Painlevé equations. Zapiski Nauchnyh Seminarov POMI, 317, 105–121. MR2120830

C1. Kitaev AV and Vartanian AH (2004) Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation: I. Inverse Problems, 39, 1165–1206. MR2087985

C1. Kuo TC and Parusinski A (2004) Newton-Puiseux roots of Jacobian determinants. Journal of Algebraic Geometry, 13, 579–601. MR2047682

C1. Kurdyka K and Paunescu L (2004) Arc-analytic roots of analytic functions are Lipschitz. Proceedings of the American Mathematical Society, 132, 1693–1702. MR2051130

C1. Lai KF (2004) $$C_2$$ building and projective space. Journal of the Australian Mathematical Society, 76, 383–402. MR2053511

C1. Lam Y, Zhu L, Chan JSK and Liu Q (2004) Analysis of data from a series of events by a geometric process model. Acta Mathematicae Applicatae Sinica. English Series, 20(2), 263–282. MR2064005

C1. Lehrer GI (2004) A new proof of Steinberg's fixed-point theorem. International Mathematics Research Notices, 28, 1407–1411. MR2052515

C1. Lehrer GI (2004) Rational points and cohomology of discriminant varieties. Advances in Mathematics, 186, 229–250. MR2065513

C1. Lemon G (2004) Fire-Diffuse-Fire Calcium Waves in Confined Intracellular Spaces. Bulletin of Mathematical Biology, 66, 65–90. MR2246028

C1. Li G, Yan S and Yang J (2004) An elliptic problem with critical growth in domains with shrinking holes. Journal of Differential Equations, 198, 275–300. MR2038582

C1. Li G, Yang J and Yan S (2004) Solutions with boundary layer and positive peak for an elliptic Dirichlet problem. Proceedings of the Royal Society of Edinburgh, Section A. Mathematics, 134(3), 515–536. MR2068114

C1. Lin D, Yang YH, Scolnick J, Brunet L, Marsh M, Peng V and Okazaki Y (2004) Spatial patterns of gene expression in the olfactory bulb. PNAS,, 101(34), 12718–12723.

C1. Manos S and Poladian L (2004) Optical fibre design using evolutionary strategies. Engineering Computations, 21, 564–576.

C1. Marchev D and Hobert JP (2004) Geometric ergodicity of van Dyk and Meng's algorithm for the multivariate Student's t model. Journal of the American Statistical Association, 99(465), 228–238.

C1. Mathas A (2004) Matrix units and generic degrees for the Ariki-Koike algebras. Journal of Algebra, 281, 695–730. MR2098790

C1. Mazorchuk V and Parker AE (2004) On the Relation Between Finitistic and Good Filtration Dimensions. Communications in Algebra, 32, 1903 – 1916. MR2099711

C1. Merrifield A, Savage MK and Vere-Jones D (2004) Geographical distributions of prospective foreshock probabilities in New Zealand. New Zealand Journal of Geology and Geophysics, 47, 327–339.

C1. Molev AI (2004) Littlewood-Richardson problem for Schubert polynomials. Australian Mathematical Society Gazette, 31, 295 – 297. MR2105758

C1. Molev AI and Retakh V (2004) Quasideterminants and Casimir elements for the general linear Lie superalgebra. International Mathematics Research Notices, 13, 611–619. MR2039788

C1. Molev AI, Tolstoy VN and Zhang RB (2004) On irreducibility of tensor products of evaluation modules for the quantum affine algebra. Journal of Physics. A. Mathematical and General, 37, 2385 – 2399. MR2045932

C1. Myerscough MR and Oldroyd BP (2004) Simulation models of the role of genetic variability in social insect task allocation. Insectes Sociaux, 51, 146–152.

C1. O'Brian S, Packman A, Onslow M and O'Brian NR (2004) Measurement of stuttering in adults: Comparison of stuttering rate and severity scaling methods. Journal of Speech, Language, and Hearing Research, 47, 1081–1087.

C1. Peiris MS, Allen D and Thavaneswaran A (2004) An introduction to generalized moving average model and applications. Journal of Applied Statistical Science, 13(3), 251–267. MR2162151

C1. Peiris MS and Rao CR (2004) A note on testing for serial correlation in large number of small samples using tail probability approximations. Communications in Statistics. Theory and Methods, 33(8), 1767–1777. MR2065173

C1. Peiris MS and Thavaneswaran A (2004) A note on the filtering for some time series models. Journal of Time Series Analysis, 25(3), 397–407. MR2063642

C1. Quine MP (2004) On the escape probability for a left or right continuous random walk. Annals of Combinatorics, 8, 221–223. MR2079932

C1. Raimondo M and Tajvidi N (2004) A peaks over threshold model for change-point detection by wavelets. Statistica Sinica, 14, 395–412. MR2059288

C1. Robinson J (2004) Multivariate tests based on empirical saddlepoint approximations. Metron, 62, 1–14. MR2089164

C1. Rodriguez MW, Paquet AC, Yang YH and Erle DJ (2004) Differential gene expression by integrin beta7+and beta7-memory T helper cells. BMC Immunology, NA, 5–13.

C1. Scalas E, Gorenflo R, Luckock HC, Mainardi F, Mantelli M and Raberto M (2004) Anomalous waiting times in high-frequency financial data. Quantitative finance, 4, 695–702. MR2238629

C1. Seneta E (2004) Fitting the variance-gamma model to financial data. Journal of Applied Probability, 41A, 177–187. MR2057573

C1. Seneta E (2004) Mathematics, religion and Marxism in the Soviet Union in the 1930's. Historia Mathematica, 31, 337–367. MR2079595

C1. Seneta E and Eagleson GK (2004) Henry Oliver Lancaster 1913 - 2001. Historical Records of Australian Science, 15, 223–250.

C1. Seneta E, Seif FJ, Liebermeister H and Dietz K (2004) Carl Liebermeister (1833-1901): a pioneer of the investigation and treatment of fever and the developer of a statistical test. Journal of Medical Biography, 12, 215–221.

C1. Steel A, Ramnarine KV, Criton A, Davidson F, Allan PL, Humphries N, Routh HF, Fish PJ and Hoskins PR (2004) Angle-dependence and reproducibility of dual-beam vector Doppler ultrasound in the common carotid arteries of normal volunteers. Ultrasound in Medicine and Biology, 94, 271–276.

C1. Steel R, Poepping TL, Thompson RS and Macaskill C (2004) Origins of the edge shadowing artefact in medical ultrasound imaging. Ultrasound in Medicine and Biology, 30, 1153–1162.

C1. Szmolyan P and Wechselberger M (2004) Relaxation oscillations in $$\mathbb{R}^3$$. Journal of Differential Equations, 200(1), 69–104. MR2046318

C1. Tang ZX, Wang Q and Fraser WB (2004) Minimizing energy consumption of yarn winding in ring spinning. Textile Research Journal, 74, 1097–1103.

C1. Tang ZX, Wang X and Fraser WB (2004) Distribution of power requirements during yarn winding in ring spinning. Textile Research Journal, 74, 735–741.

C1. Tang ZX, Wang X and Fraser WB (2004) Skin friction coefficient on a yarn package surface in ring spinning. Textile Research Journal, 74, 845–850.

C1. Tang ZX, Wang X, Fraser WB and Wang L (2004) An experimental investigation of yarn tension in simulated ring spinning. Fibers and Polymers, 5, 275–279.

C1. Thavaneswaran A and Peiris MS (2004) Smoothed estimates for models with random coefficients and infinite variance. Mathematical Computation and Modelling, 39, 363–372. MR2046529

C1. Thompson RS, Bambi G, Steel R and Tortoli P (2004) Intraluminal ultrasound intensity distribution and backscattered Doppler Power. Ultrasound in Medicine and Biology, 30, 1485–1494.

C1. Thompson RS, Macaskill C, Fraser WB and Farnell L (2004) Acoustic intensity for a long vessel with non-circular cross-section. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 51, 566–575.

C1. Tillmann S (2004) Character varieties of mutative 3-manifolds. Algebraic and Geometric Topology, 4, 133–149.

C1. Tulunay I (2004) Restriction of a cuspidal module for finite general linear groups. Journal of Algebra, 273, 60–87. MR2032451

C1. van Eijkelenborg MA, Argyros A, Bachmann A, Barton G, Large MCJ, Henry G, Issa NA, Klein KF, Poisel H, Pok W, Poladian L, Manos S and Zagari J (2004) Bandwidth and loss measurements of graded-index microstructured polymer optical fibre. Electronics Letters, 40, 592–593.

C1. van Hamel J (2004) Lichtenbaum-Tate duality for varieties over $$p$$-adic fields. Journal für die Reine und Angewandte Mathematik, 575, 101–134. MR2097549

C1. Vincent AD and Myerscough MR (2004) The effect of a non-uniform turning kernel on ant trail morphology. Journal of Mathematical Biology, 49, 391–432. MR2105837

C1. Waalkens H, Richter PH and Dullin HR (2004) The problem of two fixed centers: bifurcations, actions, monodromy. Physica D, 196, 265–310.

C1. Wang Q and Jing B-Y (2004) Weighted bootstrap for $$U$$-statistics. Journal of Multivariate Analysis, 91, 177–198. MR2087842

C1. Wilcox S (2004) Complementation in the Group of Units of Matrix Rings. Bulletin of the Australian Mathematical Society, 70, 223–227. MR2094290

C1. Yu CW, Xu GQ and Dai F (2004) Strong approximation of Riesz means with the critical index from $$H^p(\Omega_n)$$ $$(0Journal of Mathematics (Wuhan), 24, 99–104. MR2045400 C1. Zagari J, Argyros A, Issa NA, Barton G, Henry G, Large MCJ, Poladian L and van Eijkelenborg MA (2004) Small-core single-mode microstructured polymer optical fiber with large external diameter. Optics Letters, 29, 818–820. C1. Zeitsch PJ (2004) Riemann functions and the group \(E(1,1)$$. Journal of Mathematical Physics, 45, 3001–3018. MR2077496

C1. Zeitsch PJ (2004) Symmetry operators for Riemann's method. Journal of Mathematical Physics, 45, 2993–3000. MR2077495

C1. Zhang P, Duan Y and Liu X (2004) Knots in the non-abelian Chern-Simons theory. Modern Physics Letters A, 19, 2629. MR2441777

C1. Zhang PM, Duan Y, Liu X and Zhong C (2004) Knotlike Mermin-Ho vortices in the superfluid ³He-A. Annals of Physics, 313, 16. MR2079809

C1. Zhang RB (2004) Quantum superalgebra representations on cohomology groups of non-commutative bundles. Journal of Pure and Applied Algebra, 191, 285–314. MR2059616

C1. Zhao LC, Wu CQ and Wang Q (2004) Berry-Esseen bound for a sample sum from a finite set of independent random variables. Journal of Theoretical Probability, 17, 557–572. MR2091551

C2. Hammer J (2004) Mathematical tour through the Sydney Opera House. The Mathematical Tourist, , 48–51.

C3. Miller H and Raimondo M (2004) The talented student program: an integrated learning solution. Synergy, 20, 9–10.

C4. Seneta E and Johnson IN (2004) Crofton, Morgan William (1826-1915). Oxford Dictionary of National Biography, 14, 252–253.

## Conference Proceedings

E1. Abel RJR, Combe D and Palmer WD (2004) GBRDs with $$k=3$$ over Dicyclic Groups and with $$k=4$$ over the Elementary Abelian Groups $$\mathrm{EA}(g)$$. AWOCA 2004 Fifteenth Australasian Workshop on Combinatorial Algorithms, AWOCA 2004 Fifteenth Australasian Workshop on Combinatorial Algorithms Proceedings, Seok-Hee Hong (ed.) , AWOCA, ISBN 1 86487 628 X, 109–120.

E1. Ariki S and Mathas A (2004) Hecke algebras with a finite number of indecomposable modules. Mathematical Society of Japan's 10th International Conference, Representation theory of algebraic groups and quantum groups, Toshiaki Shoji et al. (ed.) , Advanced Studies in Pure Mathematics, Math. Soc. Japan, ISBN 4-931469-25-6, 261–320. MR2074587

E1. Csörgő M, Szyszkowicz B and Wang Q (2004) On weighted approximations and strong limit theorems for self-normalized partial sums processes. International Conference on Asymptotic Methods in Stochastics, Asymptotic Methods in Stochastics: Festschrift for Miklos Csörgő, Lajos Horvath and Barbara Szyszkowicz (ed.) , Fields Institute Communications, American Mathematical Society, ISBN 0-8218-3561-0, 491–523.

E1. Easdown D, East J and FitzGerald DG (2004) Braids and factorizable inverse monoids. Workshop on Semigroups and Languages, Semigroups and Languages, I.M. Araujo, M.J.J. Branco, V.H. Fernandes and G.M.S. Gomes (ed.) , World Scientific, ISBN ISBN 981-238-917-2, 86–105. MR2170755

E1. Fukui T, Kurdyka K and Paunescu L (2004) An inverse mapping theorem for ARC-analytic homeomorphisms. Geometry and Topology of Caustics - Caustics '02, Geometric singularity theory, Heisuke Hironaka, Stanislaw Janeczko and Stanislaw Lojasiewicz (ed.) , Banach Center Publications, Polish Academy of Sciences, Institute of Mathematics, 49–56. MR2104336

E1. Gray BF and Macaskill C (2004) The role of self-heating in the estimation of Arrhenius kinetic constants for thermally unstable materials using differential scanning calorimeters (DSCs). 10th International Fire Science and Engineering Conference: Interflam 2004, Proceedings of the 10th International Fire Science and Engineering Conference: Interflam 2004, V.Babrauskas, G. Cox et al (ed.) , Interscience Communications, ISBN ISBN 0 9532312 7 5, 961–972.

E1. Jomaa Z and Macaskill C (2004) A finite difference Poisson solver for irregular geometries. CTAC-2003, Proceedings of the 11th Computational Techniques and Applications Conference, Electronic supplement, Jagoda Crawford and A. J. Roberts (ed.) , ANZIAM Journal (Australian Mathematical Society), 45(E), C713–C728. MR2180332

E1. Keich U and Nagaraj N (2004) A faster reliable algorithm to estimate the p-value of the multinomial llr statistic. WABI 2004, Proceeding of the 4th International Workshop on Algorithms in Bioinformatics, NA (ed.) , NA, NA, NA.

E1. Macaskill C (2004) A blob insertion technique for the vortex blob method. Fifteenth Australasian Fluid Mechanics Conference, Proceedings of the Fifteenth Australasian Fluid Mechanics Conference, M. Behnia, W. Lin & G.D. McBain (ed.) , University of Sydney, ISBN 1 864 87695 6, Paper no AFMC00181. MR2145390

E1. Manos S, Poladian L and Ashton B (2004) Novel fibre Bragg grating design using multiobjective evolutionary algorithms. Conference on Lasers & Electro-Optics and International Quantum Electronics Conference, CLEO-IQEC-Phast Technical Digest, Optical Society of America, ISBN 1-55752-770-9, CWA81.

E1. Mathas A (2004) The representation theory of the Ariki-Koike algebras and the cyclotomic $$q$$-Schur algebras. Mathematical Society of Japan's 10th International Conference, Representation theory of algebraic groups and quantum groups, Toshiaki Shoji et al. (ed.) , Advanced Studies in Pure Mathematics, Math. Soc. Japan, ISBN # 4-931469-25-6, 261–320. MR2074597

E1. Peiris MS and Rao CR (2004) An application of Edgeworth expansion on testing for serial correlation in large number of small samples. Visions of Futuristic Methodologies, Sri Lankan Statistical Conference, B. M. de Silva and N. Mukhopadhyay (ed.) , PGIS, University of Peradeniya, ISBN 0 86459 339 2, 341–354.

E1. Perera DI and Peiris MS (2004) Significance testing for Lag One serial correlation in repeated measurements using saddlepoint approximation. Visions of Futuristic Methodologies, Sri Lankan Statistical Conference, B. M. de Silva and N. Mukhopadhyay (ed.) , PGIS, University of Peradeniya, ISBN 0 86459 339 2, 363–370.

E1. Poladian L (2004) Modelling surface imperfection induced mode mixing in multimode microstructured fibres. Conference on Lasers & Electro-Optics and International Quantum Electronics Conference, CLEO-IQEC-Phast Technical Digest, Optical Society of America, ISBN 1-55752-770-9, CWA73.

E1. Poladian L, Barton G, Large M, Lwin R, Wilson P, Tanner R, van Eijkelenborg M, Xue S and Yu H (2004) Microstructured polymer optical fibres: Impact of imperfections in Design and Manufacture. Ninth Optoelectronics and Communications Conference & Third International Conference on Optical Internet, OECC/COIN 2004 Technical Digest, Naoki Chinone, Kazuro Kikuchi, Tomonori Aoyama, Junliang Chen (ed.) , Institute of Electronics, Information and Communication Engineers, ISBN 4-89114-044-5, 496–497.

E1. Poladian L, Large M, Padden W, Lee KH, Wickham S and Beeton N (2004) Is the photonic crystal in the butterflies T. imperialis and P. sesostris optimal? Conference on Lasers & Electro-Optics and International Quantum Electronics Conference, CLEO-IQEC-Phast Technical Digest, Optical Society of America, ISBN 1-55752-770-9, IThL6.

E1. Schaerf TM and Macaskill C (2004) Detecting contour crossings in contour dynamical and contour-advective semi-Lagrangian simulations. CTAC 2003, The 11th Computational Techniques and Applications Conference, Proceedings of the 11th Computational Techniques and Applications Conference, Electronic supplement, Jagoda Crawford and A. J. Roberts (ed.) , ANZIAM Journal (Australian Mathematical Society), 45(Part E), C693–C712. MR2180331

E1. Steel R, Poepping TL, Thompson RS and Macaskill C (2004) Edge shadows around rigid, absorbing, and non-absorbing liquid cylinders. 2004 IEEE International Ultrasonics, Ferroelectrics and Frequency Control 50th Anniversary Conference, 2004 IEEE 50th Anniversary Conference, M P Yuhas (ed.) , IEEE Ultrasonics, Ferroelectrics and Frequency Control, IEEE, 2117–2120.

E1. van Eijkelenborg MA, Argyros A, Bachmann A, Barton G, Henry G, Issa NA, Klein KF, Large MCJ, Manos S, Padden W, Poladian L, Poisel H and Zhao Y (2004) Applications of microstructured polymer optical fibres. Conference on Lasers & Electro-Optics and International Quantum Electronics Conference, CLEO-IQEC-Phast Technical Digest, Optical Society of America, ISBN 1-55752-770-9, CThX1. MR2165652

E1. Wang Q (2004) On Darling Erdos type theorems for self-normalized sums. International Conference on Asymptotic Methods in Stochastics, Asymptotic Methods in Stochastics: Festschrift for Miklos Csorgo, Lajos Horvath and Barbara Szyszkowicz (ed.) , Fields Institute Communications, American Mathematical Society, ISBN 0-8218-3561-0, 523–530. MR2108954

E3. Poladian L, Wickham S, Large MCJ and Jermiin LS (2004) Biological strategies to suppress iridescence in low-contrast 3D photonic crystals. 8th International Conference on Optics within Life Sciences, OWLS 8 Book of Abstracts, Min Gu (ed.) , 133–134.

E3. Wickham S, Poladian L, Large MCJ and Jermiin LS (2004) Evolution of two-dimensional optical microstructures in butterfly scales. 8th International Conference on Optics within Life Sciences, OWLS 8 Book of Abstracts, Min Gu (ed.) , 185–186.