Research Publications for 2007
Books
A1. Molev AI (2007) Yangians and Classical Lie Algebras. Mathematical Surveys and Monographs, 143, American Mathematical Society, Providence, RI, ISBN ISBN-10: 0-8218-4374-5, ISBN-13: 978-0-8218-4374-1, 400 pages. MR2355506
A2. Easdown D (2007) A First Course in Linear Algebra. Pearson Education Australia, Frenchs Forest, NSW, ISBN 13 978 0 7339 9051 9, 247 pages.
Chapters in Books
B1. Britton S, New P, Roberts A and Sharma M (2007) Investigating students' ability to transfer mathematics, Transforming a University. The scholarship of teaching and learning in practice. Sydney University Press, Sydney Australia, ISBN 978-920898-28-1, 127–140.
B1. Clarkson PA, Joshi N and Mazzocco M (2007) The Lax Pair for the MKDV Hierarchy, Th'eories asymptotics et equations de Painlev'e. Seminaires et Congres, Societe Mathematique de France, France, ISBN 978-2-85629-229-7, 53–64.
B1. Day B and Street R (2007) Centres of monoidal categories of functors, Categories in algebra, geometry and mathematical physics. Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, ISBN 0821839705, 187–202. MR2342829
B1. Fukui T and Paunescu L (2007) On blow-analytic equivalence, Arc Spaces and Additive Invariants in Real Algebraic and Analytic Geometry. Panoramas et Syntheses, Societe Mathematique de France, Marseilles, ISBN 2-85629-236-4, 87–125.
B1. Kelly GM (2007) The beginnings of category theory in Australia, Categories in algebra, geometry and mathematical physics. Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, ISBN 0821839705, 1–6. MR2342820
B1. Kitaev AV (2007) Remarks towards a classification of RS^2_4(3)-Transformations and algebraic solutions of the sixth Painlev'e equation, Th'eories asymptotics et equations de Painlev'e. Seminaires et Congres, Societe Mathematique de France, France, ISBN 978-2-85629-229-7, 199–227.
B1. Seneta E (2007) The Early Years of the Variance-Gamma Process, Advances in Mathematical Finance. Applied and Numerical Harmonic Analysis, Birkhauser, Boston, ISBN -13:978-0-8176-4544-1, 3–19. MR2359359
Journal Articles
C1. Abelson D, Hong SH and Taylor DE (2007) Geometric automorphism groups of graphs. Discrete and Applied Mathematics, 155(17), 2211–2226. MR2360651
C1. Antony N (2007) On parabolic submonoids of a class of singular Artin monoids. Journal of the Australian Mathematical Society, 82(1), 29–37. MR2301969
C1. Arendt W and Daners D (2007) Uniform convergence for elliptic problems on varying domains. Mathematische Nachrichten, 280(1-2), 28–49. MR2290380
C1. Balasuriya S, Gottwald GA, Hornibrook J and Lafortune S (2007) High Lewis number combustion wavefronts: a perturbative Melnikov analysis. SIAM Journal on Applied Mathematics, 67(2), 464–486. MR2285873
C1. Barnes DW (2007) On Sikora's spectral sequences. Journal of knot theory and its ramifications, 16(7), 833–867. MR2354264
C1. Bennett MR, Farnell L, Gibson WG and Dickens P (2007) Mechanisms of calcium sequestration during facilitation at active zones of an amphibian neuromuscular junction. Journal of Theoretical Biology, 247, 230–241. MR2312128
C1. Bertram WK and Peiris MS (2007) An example of a misclassification problem to Australian equity data. Computational Statistics and Data Analysis, 51, 3627–3630. MR2364479
C1. Britton S, Daners D and Stewart M (2007) A self-assessment test for incoming students. International journal of mathematical education in science and technology, 38(7), 861–868.
C1. Brown G, Dai W and Wang Q (2007) On positive cosine sums. Mathematical Proceedings of the Cambridge Philosophical Society, 142, 219–232. MR2314596
C1. Brown G, Feng D and Moricz F (2007) Strong Cesaro Summability of Double Fourier Intergrals. Acta Math. Hungar., 115(1-2), 1–12. MR2316618
C1. Carberry E (2007) Minimal tori in S3. Pacific Journal of Mathematics, 233(1), 41–70.
C1. Carls R (2007) Canonical coordinates on the canonical lift. Journal of Ramanujan Mathematical Society, 22(1), 1–14. MR2312545
C1. Cartwright DI and Woess W (2007) The spectrum of the averaging operator on a network (metric graph). Illinois journal of mathematics, 51(3), 805–830. MR2379723
C1. Cavalier L and Raimondo M (2007) Wavelet deconvolution with noisy eigen-values. IEEE Transactions on Signal Processing, 55(6), 2414–2424.
C1. Chan JSK, Choy STB and Lee ABW (2007) Bayesian analysis of constant elasticity of variance models. Applied Stochastic Models in Business and Industry, 23, 83–96. MR2344607
C1. Cheng SJ, Wang W and Zhang RB (2007) A Fock space approach to representation theory of osp(2\2n). Transformation Groups, 12(2), 209–225. MR2323682
C1. Cirstea FC (2007) Elliptic equations with competing rapidly varying nonlinearities and boundary blow-up. Advances in Differential Equations, 12(9), 995–1030.
C1. Cirstea FC and Du Y (2007) Large solutions of elliptic equations with a weakly superlinear nonlinearity. Journal d'Analyse Mathématique, 103(1), 261–277.
C1. Cirstea FC and Du Y (2007) Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity. Journal of Functional Analysis, 250, 317–346.
C1. Cirstea FC and Radulescu V (2007) Boundary blow-up in nonlinear elliptic equations of Bieberbach-Rademacher type. Transactions of the American Mathematical Society, 359(7), 3275–3286.
C1. Cohen AM and Taylor DE (2007) On a certain Lie algebra defined by a finite group. American Mathematical Monthly, 114(7), 633–639. MR2341327
C1. Cowan R (2007) Identities linking volumes of convex hulls. Advances in Applied Probability, 39(3), 630–640.
C1. Crooks ECM, Dancer EN and Hillhorst D (2007) Fast reaction limit and long time behavior for a competition-diffusion system with Dirichlet boundary conditions. Discrete and Continuous Dynamical Systems Series B, 8(1), 39–44.
C1. Dancer EN (2007) Conley indices on covex sets, attractor-repeller pairs and applications to multiple solutions of nonlinear elliptic equations. Journal of Fixed Point Theory and Applications, 1, 47–60. MR2282343
C1. Dancer EN (2007) Supercritical finite Morse index solutions. Nonlinear Analysis, 66(1), 268–269. MR2271654
C1. Dancer EN (2007) Domain variation and non-uniqueness of homoclinic solutions of some partial differential equations on strips. Journal of Dynamics and Differential Equations, 19(3), 709–718. MR2350244
C1. Dancer EN, Ren X and Yan S (2007) On multiple radial solutions of a singularly perturbed nonlinear elliptic system. SIAM Journal of Mathematical Analysis, 38(6), 2005–2041. MR2299439
C1. Dancer EN and Santra S (2007) On the Superlinear Lazer-McKenna conjecture: the non-homogeneous case. Advances in differential equations, 12(9), 961–993. MR2351835
C1. Dancer EN and Wei J (2007) Sign-changing solutions for supercritical elliptic problems in domains with small holes. Manuscripta Mathematica, 123(4), 493–454.
C1. Dancer EN and Yan S (2007) A new type of concentration solutions for a singularly perturbed elliptic problem. Transactions of the American mathematical society, 359(4), 1765–1790. MR2272148
C1. Dancer EN and Yan S (2007) Remarks on the existence of many solutions of certain nonlinear elliptic equations. Bolletino U.M.I., 8(10 (B)), 1013–1023.
C1. Daners D and Kennedy JB (2007) Uniqueness in the Faber–Krahn inequality for Robin problems. SIAM Journal on Mathematical Analysis, 39(4), 1191–1207. MR2368899
C1. Falconer I, Gottwald GA, Melbourne I and Wormnes K (2007) Application of the 0-1 Test for Chaos to Experimental Data. SIAM Journal on Applied Dynamical Systems, 6(2), 395–402. MR2318660
C1. Fieker C and Graaf W (2007) Finding integral linear dependencies of algebraic numbers and algebraic Lie algebras. London Mathematical Society Journal of Computational Mathematics, 10, 271–287.
C1. Field CM (2007) Extension of the Adler-Bobenko-Suris classification of integrable lattice-equations. Journal of Physics A: Mathematical and Theoretical, 40, F589–F600. MR2369949
C1. Field CM and Ormerod CM (2007) An Ultradiscrete Matrix Version of the Fourth Painlevé Equation. Advances in Difference Equations, 2007, 12.
C1. Finlay R and Seneta E (2007) A Gamma activity time process with noninteger parameter and self-similar limit. Journal of Applied Probability, 44(3), 950–959. MR2382937
C1. Fisher NI, Cribb JHJ and Peacock AJ (2007) Reading the public mind: a novel approach to improving the adoption of new science and technology. Australian Journal of Experimental Agriculture, 47, 1262–1271.
C1. Fung T and Seneta E (2007) Tailweight, quantiles and kurtosis: A study of competing distributions. Operations Research Letters, 35, 448–454. MR2333314
C1. Gibson WG, Farnell L and Bennett MR (2007) A computational model relating changes in cerebral blood volume to synaptic activity in neurons. Neurocomputing, 70, 1674–1679.
C1. Gottwald GA (2007) Dispersive regularizations and numerical discretizations for the inviscid Burgers. J Phys A, 40(49), 14745–14758.
C1. Gottwald GA, Oliver M and Tecu N (2007) Long-time accuracy for approximate slow manifolds in a finite dimensional model of balance. Journal of Nonlinear Science, 17(4), 283–307. MR2335123
C1. Gow L (2007) Gauss decomposition of the Yangian Y({\germ{gl}}\sb {m\vert n}). Communications in Mathematical Physics, 276(3), 799–825. MR2350438
C1. Hay M (2007) Hierarchies of nonlinear integrable q-difference equations from series of Lax pairs. Journal of Physics: Mathematical and Theoretical, 40, 10457–10471. MR2371129
C1. Hay M, Hietarinta J, Joshi N and Nijhoff F (2007) A Lax pair for a lattice modified KdV equation, reductions to q-Painlevé equations and associated Lax pairs. Journal of Physics A: Mathematical and Theoretical, 40(2), F61–F73. MR2303490
C1. Henderson A (2007) Induced characters of the projective general linear group over a finite field. Journal of Algebra, 307(1), 116–135. MR2278045
C1. Henderson A (2007) Nilpotent orbits of linear and cyclic quivers and Kazhdan-Lusztig polynomials of type A. Representation Theory, 11, 95–121. MR2320806
C1. Hillman JA (2007) On 4-manifolds with zero-entropy metrics. Bulletin of the London Mathematical Society, 39, 327–328. MR2323466
C1. Hillman JA (2007) Geometries and infrasolvmanifolds in dimension 4. Geom Dedicata, 129, 57–72. MR2353982
C1. Hillman JA and Kochloukova DH (2007) Finiteness conditions and PDr-group covers of PDn-complexes. Mathematische Zeitschrift, 256, 45 – 56. MR2282258
C1. Hu Z, Petrov VV and Robinson J (2007) On large deviations of sums of independent random variables. Communications in Statistics - Theory and Methods, 36(10), 1981–1992.
C1. Hu Z, Robinson J and Wang Q (2007) Cramer_Type Large Deviations for Samples from a Finite Population. The Annals of Statistics, 35(2), 673–696. MR2336863
C1. Hu Z, Robinson J and Wang Q (2007) Edgeworth expansions for a sample sum from a finite set of independent random variables. The Electronic Journal of Probability, 12, 1402–1417. MR2354163
C1. Jayaswal V, Robinson J and Jermiin L (2007) Estimation of Phylogeny and Invariant Sites under the General Markov Model of Nucleotide Sequence Evolution. Systematic Biology, 56(2), 155–162.
C1. Joshi N, Kitaev AV and Treharne PA (2007) On the linearization of the Painlevé III–VI equations and reductions of the three-wave resonant system. Journal of Mathematical Physics, 48(10), 103512 (42pp).
C1. Joshi N and Ormerod C (2007) The general theory of linear difference equations over the max-plus semiring. Studies in Applied Mathematics, 118, 85–97. MR2283569
C1. Kerkyacharian G, Picard D and Raimondo M (2007) Adaptive boxcar deconvolution on full Lebesgue measure sets. Statistica Sinica, 17(1), 317–340. MR2352512
C1. Kolassa JE and Robinson J (2007) Conditional saddlepoint approximations for non-continuous and non-lattice distributions. Journal of Statistical Planning and Inference, 137(1), 133–147. MR2292846
C1. Kulik R (2007) Bahadur-Kiefer theory for sample quantiles of weakly dependent linear processes. Bernoulli: a journal of mathematical statistics and probability, 13(4), 1071–1090. MR2364227
C1. Kulik R and Wichelhaus C (2007) Dependence in lag for markov chains on partially ordered state spaces with applications to degradable networks. Stochastic models, 23(4), 683–696. MR2362703
C1. Lai KF and Vostokov SV (2007) The Kneser relation and the Hilbert pairing in multidimensional local field. Mathematische Nachrichten, 280(16), 1–18.
C1. Large MCJ, Manos S and Poladian L (2007) The uses of diversity: non-crystalline arrays in microstructured optical fibres. Journal of Optical and Quantum Electronics, Online, 1–12.
C1. Large MCJ, Wickham S, Hayes J and Poladian L (2007) Insights from nature: Optical biomimetics. Physica B, 394, 229–232.
C1. Lehrer GI and van Hamel J (2007) Euler characteristics of the real points of certain varieties of algebraic tori. Proceedings of the London Mathematical Society, 94(3), 715–748. MR2325318
C1. Lwin R, Barton G, Harvey L, Harvey J, Manos S, Large MCJ, Poladian L, Bachmann A, Poisel H and Klein KF (2007) Beyond the bandwidth-length product: Graded index microstructured polymer optical fiber. Applied Physics Letters, 91(19), 191119–1.
C1. Lyle SL (2007) Some q-analogues of the Carter-Payne theorem. Journal für die Reine und Angewandte Mathematik, 608, 93–121. MR2339470
C1. Lyle SL and Mathas A (2007) Blocks of cyclotomic Hecke algebras. Advances in Mathematics, 216(2), 854–878. MR2351381
C1. Menon SN and Gottwald GA (2007) Bifurcations of flame filaments in chaotically mixed combustion reactions. Physical Review. E, 75, 016209. MR2324657
C1. Midgley DJ, Saleeba JA, Stewart M and Gee PAM (2007) Novel soil lineages of Archaea are present in semi-arid soils of eastern Australia. Canadian Journal of Microbiology, 53(1), 129–138.
C1. Midgley DJ, Saleeba JA, Stewart M, Simpson AE and Gee PAM (2007) Molecular diversity of soil basidiomycete communities in northern-central New South Wales, Australia. Mycological Research, 111(3), 370–378.
C1. Murray SH (2007) Representations of parabolic and Borel subgroups. Communications in Algebra, 35(2), 455–459. MR2294610
C1. Myerscough MR and Perdriau BS (2007) Making good choices with variable information: a stochastic model for nest-site selection by honeybees. Biology Letters, 3, 140–143.
C1. Ormerod C (2007) Connection matrices for ultradiscrete linear problems. Journal of Physics: Mathematical and Theoretical, 40, 12799–12809.
C1. Papadima S and Paunescu L (2007) Closed Manifolds Coming From Artinian Complete Intersections. Transactions of the American Mathematical Society, 359(6), 2777–2786. MR2286055
C1. Parkinson J (2007) Isotropic random walks on affine buildings. Annales de l'Institut Fourier (Grenoble), 57(2), 379–419. MR2310945
C1. Peiris MS, Ng KH and Ibrahim IM (2007) A Review of Recent Developments of Financial Time Series: ACD Modelling using the Estimating Function Approach. Sri Lankan Journal of Applied Statistics, 8, 1–17.
C1. Peiris MS and Thavaneswaran A (2007) An introduction to volatility models with indices. Applied Mathematics Letters, 20(2), 177–182. MR2283907
C1. Phipps MC and Byron PM (2007) A filter for "confidence interval P-values". Computational Statistics and Data Analysis, 51(12), 6435–6446.
C1. Poladian L and Rigozzi M (2007) Explicit effective elastic moduli for anisotropic triply periodic frame networks. Physica B, 394, 285–288.
C1. Prince T and Weber NC (2007) Fixation in conditional branching process models in population genetics. Journal of Applied Probability, 44(3), 1103–1110. MR2382949
C1. Raimondo M and Stewart M (2007) The WaveD transform in R: performs fast translation-invariant wavelet deconvolution. Journal of Statistical Software, 21(3), 1–27.
C1. Roberts AL, Sharma MD, Britton S and New PB (2007) An index to measure the ability of first year science students to transfer mathematics. International Journal of Mathematical Education in Science and Technology, 38(4), 429–448.
C1. Rubin J and Wechselberger M (2007) Giant Squid - Hidden Canard: the 3D Geometry of the Hodgkin Huxley Model. Biological Cybernetics, 97(1), 5–32. MR2326520
C1. Su Y and Zhang RB (2007) Character and dimension formulae for general linear superalgebra. Advances in Mathematics, 211(1), 1–33. MR2313526
C1. Su Y and Zhang RB (2007) Cohomology of Lie SuperAlgebras SLm/n and OSP2/2n. Proceedings of the London Mathematical Society, 94(1), 91–136. MR2293466
C1. Tang Z, Fraser WB and Wang Q (2007) Modelling yarn balloon motio in ring spinning. Applied Mathematical Modelling, 31, 1397–1410.
C1. Treharne PA and Fokas AS (2007) Initial-boundary value problems for linear PDEs with variable coefficients. Mathematical Proceedings of the Cambridge Philosophical Society, 143(1), 221–242. MR2340985
C1. Turner JPR, Winch DE, Ivers DJ and Stening RJ (2007) Regular daily variations in satellite magnetic total intensity data. Annales Geophysicae, 25, 2167–2174.
C1. Vidunas R and Kitaev AV (2007) Quadratic transformations of the sixth Painleve equation with application to algebraic solutions. Mathematische Nachrichten, 280(16), 1834–1855. MR2365021
C1. Wechselberger M (2007) Canards. Scholarpedia, 2(4), 1356.
C1. Wilcox S (2007) Cellularity of diagram algebras as twisted semigroup algebras. Journal of Algebra, 309(1), 10–31. MR2301230
C1. Williams E, Xiao Y, Sickles H, Shafer P, Yona G, Yang YH and Lin F (2007) Novel subdomains of the mouse olfactory bulb defined by molecular heterogeneity in the nascent external plexiform and glomerular. BMC Development Biology, 7(48), 1. MR2339061
C1. Winn VD, Haimov-Kochman R, Paquet AC, Yang YH, Madhusudhan MS, Gormley M, Feng KT, Bernlohr DA, McDonagh S, Pereira L, Sali A and Fisher SJ (2007) Gene expression profiling of the human maternal-fetal interface reveals dramatic changes between midgestation and term. Endocrinology, 148(3), 1059–79.
C1. Woodruff PG, Boushey HA, Dolganov GM, Barker CS and Yang YH (2007) Genome-wide profiling identifies epithelial cell genes associated with asthma and with treatment response to corticosteroids. PNAS, 104(40), 15858–15863.
C1. Xiao YY, Segal M, Yang YH and Yeh RF (2007) A multi-array multi-SNP genotyping algorithm for Affymetrix SNP microarray. Bioinformatics, 23(12), 1459–1467.
C1. Xue SC, Lwin R, Barton GW, Poladian L and Large MCJ (2007) Transient Heating of PMMA Preforms for Microstructured Optical Fibers. Journal of Lightwave Technology, 25(5), 1177–1183.
C1. Xue SC, Poladian L, Barton GW and Large MCJ (2007) Radiative heat transfer in preforms for microstructured optical fibres. International Journal of Heat and Mass Transfer, 50(7-8), 1569–1576.
C1. Xulvi-Brunet R and Sokolov IM (2007) Growing networks under geographical constraints. Physical Review. E, 75, 046117.
C1. Yu PLH, Chung KH, Lee CK, Lin F and Chan JSK (2007) Predicting potential drop-out and future commitment for first time donors based on first one and a half years donation patterns: the case in Hong Kong Chinese Donors. Vox Sanguinis, 93, 57–63.
C2. Benzi M, Benzi M and Seneta E (2007) Francesco Paolo Cantelli. International Statistical Review, 75(2), 127–130.
C3. Miura RM, Ablowitz MJ, Costin O, Joshi N, Kulsrud R and Zabusky NJ (2007) Obituaries: Martin David Kruskal. SIAM News, 40(3)
C4. Winch DE (2007) Harmonics, Spherical. Encyclopedia of Geomagnetism and Paleomagnetism, 377–394.
C4. Winch DE (2007) Periodic External Fields. Encyclopedia of Geomagnetism and Paleomagnetism, 809–816.
C4. Winch DE (2007) Internal External Field Separation. Encyclopedia of Geomagnetism and Paleomagnetism, 448–452.
Conference Proceedings
E1. Easdown D (2007) The role of proof in mathematics teaching and the Plateau Principle. Science Teaching and Learning Research including Threshold Concepts, Proceedings of the Assessment in Science Teaching and Learning Symposium, Alexandra Hugman, Ian Johnston and Mary Peat (ed.) , Uniserve Science, Uniserve, ISBN 978-1-74210-005-0, 28–33.
E1. Heijden GHM and Fraser WB (2007) Geometrically non-linear vibrations of structure. Euromech Colloquium 483, Proceedings of the Euromech Colloquium 483, - (ed.) , Euromech, DEMEGI-FEUP, ISBN 978-989-95208-2-0, 221–224.
E1. Hillman JA (2007) Hermitian pairings and isolated singularities. Australian-Japanese Workshop on Real and Complex Singularities, Real and Complex Singularities – Proceedings of the Australian-Japanese Workshop, L.Paunescu, A.Harris, T.Fukui and S.Koike (ed.) , World Scientific, ISBN ISBN-13 978-981-270-551-8, 46–55. MR2336681
E1. Jayaswal V, Poladian L and Jermiin LS (2007) Single and Multi-objective phylogenetic analysis of primate evolution using a genetic algorithm. CEC 2007, Proceedings of the 2007 IEEE Congress on Evolutionary Computation, Arthur Tay (ed.) , 2007 IEEE Congress on Evolutionary Computation, IEEE, ISBN 1-4244-1340-0, 4146–4152.
E1. Kuo TC and Paunescu L (2007) Desingularization And Equisingularity At Undergraduate Level. Real and Complex Singularities, Real and Complex Singularities, Laurentiu Paunescu, Adam Harris, Toshizumi Fukui and Satoshi Koikke (ed.) , Proceedings of The Japanese-Australian workshop, World Scientific, ISBN ISBN-13 978-981-270-551-8, 207–231. MR2336687
E1. Padden WE, Thompson RS and Macaskill C (2007) Using the phase modulation imposed by tissue inhomogeneity to determine the full acoustic near field. IEEE International Ultrasonics Symposium, Proceedings of 2007 IEEE International Ultrasonics Symposium, Marjorie Passini Yuhas (ed.) , IEEE, ISBN 1051-0117, 1282–1285.
E1. Phipps MC and Byron PM (2007) On restricting the supremum search for unconditional P-values. 2007 Hawaii International Conference on Statistics, Mathematics and Related Fields, Proceedings of the Sixth Hawaii International Conference on Statistics, Mathematics and Related Fields, Andrew Burge (ed.) , HICS, ISBN 1550-3747, 1037–1052.
E1. Poladian L (2007) Excluding the best and worst individuals from parent selection. CEC 2007, Proceedings of the 2007 IEEE Congress on Evolutionary Computation, Arthur Tay (ed.) , CEC 2007, IEEE, ISBN 1-4244-1340-0, 400–406.
E4. (2007) Real and Complex Singularities. The first Australian-Japanese Workshop on Real and Complex Singularities, Proceedings of the Australian-Japanese Workshop, L. Paunescu, A. Harris, T. Fukui and S. Koike (ed.) , World Scientific, ISBN 13 978-981-270-551-8, 459. MR2280705