Research Publications for 1997

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Publications 1947–74

Chapters in Books

B1. Dimca A and Lehrer GI (1997) Purity and equivariant weight polynomials, Algebraic Groups and Lie Groups. Australian Mathematical Society Lecture Series, 9, Cambridge University Press, Cambridge, U.K., ISBN 0 521 58532 5, 161–181. MR99h:14023

B1. Gillespie T (1997) Mathematical Techniques, Risk Management and Financial Derivatives: A Guide to the Mathematics. LBC Information Services, Sydney, ISBN 0455215162, 717–778.

B1. Kruskal MD, Joshi N and Halburd RG (1997) Analytic and asymptotic methods for nonlinear singularity analysis: a Review and extensions of tests for the Painlevé property, Integrability and nonlinear systems. Lecture Notes in Physics, Springer-Verlag, Heidelberg, 171–205. MR1636294

B1. Parusiński A (1997) A note on singularities at infinity of complex polynomials, Symplectic Singularities and Geometry of Gauge Fields. Banach Center Publications, 39, Institute of Mathematics, Polish Acadamy of Sciences, Warszawa, 131–141. MR1458655

Journal Articles

C1. Anh V, Lunney K and Peiris MS (1997) Stochastic models for characterisation and prediction of time series with long-range dependence and fractality. Environmental Modelling and Software, 12(1), 67–73.

C1. Bäcker A and Dullin HR (1997) Symbolic dynamics and periodic orbits for the cardioid billiard. J. Phys. A, 30, 1991–2020.

C1. Balasuriya S (1997) Vanishing viscosity in the barotropic beta-plane. Journal of Mathematical Analysis and Applications, 214, 128–150. MR1645523

C1. Bell J, Mattick RP, Hay A, Chan JSK and Hall W (1997) Methadone maintenance and drug-related crime. Journal of Substance Abuse, 9, 15–25.

C1. Bennett MR, Farnell L, Gibson WG and Lavidis NA (1997) Synaptic transmission at visualized sympathetic boutons: stochastic interaction between acetylcholine and its receptors. Biophysical Journal, 72, 1595–1606.

C1. Bennett MR, Gibson WG and Robinson J (1997) Probabilistic secretion of quanta and the synaptosecretosome hypothesis: evoked release at active zones of varicosities, boutons and endplates. Biophysical Journal, 73, 1815–1829.

C1. Bernad J, Gonzales S, Martinez C and Iltyakov AV (1997) On identities of baric algebras and superalgebras. Journal of Algebra, 197, 385–408. MR99a:17034

C1. Bolsinov AV and Dullin HR (1997) On the Euler case in rigid body dynamics and the Jacobi problem (Russian). Regular and Chaotic Dynamics, 2(1), 13–25.

C1. Bosma W, Cannon JJ and Playoust CE (1997) The magma algebra system I: the user language. Journal of Symbolic Computation, 24(3/4), 235–265. MR1484478

C1. Bosma W, Cannon JJ and Steel A (1997) Lattices of compatibility embedded finite fields. Journal of Symbolic Computation, 24(3/4), 351–369. MR99a:11143

C1. Broutman D, Macaskill C and McIntyre E (1997) On Doppler-spreading models of internal waves. Geophysical Research Letters, 24(22), 2813–2816.

C1. Buchen PW and Ben Hador R (1997) Perturbation formulas for linear dispersive waves in weak spatially non-uniform media. Wave Motion, 26(2), 187–197. MR1471201

C1. Buchen PW and Hador RB (1997) Perturbation formulas for linear dispersive waves in spatially non-uniformed media. Wave Motion, 26, 187–197.

C1. Cannon JJ, Cox BC and Holt DF (1997) Computing Sylow subgroups in permutation groups. Journal of Symbolic Computation, 24(3/4), 303–316. MR98m:20010

C1. Cannon JJ and Holt DF (1997) Computing chief series, composition series and socles in large permutation groups. Journal of Symbolic Computation, 24(3/4), 285–301. MR98m:20009

C1. Cannon JJ and Playoust CE (1997) Using the magma computer algebra system in abstract algebra courses. Journal of Symbolic Computation, 23(5/6), 459–484.

C1. Carboni A, Janelidze G, Kelly GM and Paré R (1997) On localization and stabilization for factorization systems. Applied Categorical Structures, 5, 1–58. MR98k:18001

C1. Chan JSK and Kuk AYC (1997) Maximum likelihood estimation for probit-linear mixed models with correlated random effects. Biometrics, 53, 86–97. MR1450182

C1. Chan JSK, Kuk AYC and Bell J (1997) A Likelihood approach to analysing longitudinal bivariate binary data.. Biometrical Journal, 39(4), 409–421.

C1. Chiu SN and Quine MP (1997) Central limit theory for growth models in \(\mathbb{R}^d\) with inhomogeneous arrivals. Annals of Applied Probability, 7, 802–814. MR98j:60067

C1. Cobb RJ and Hillman JA (1997) \(S^2\) bundles over aspherical closed surfaces are geometric. Proceedings of the American Mathematical Society, 125, 3415–3422. MR98d:57021

C1. Cosgrove CM (1997) Painlevé classification problems featuring essential singularities. Studies in Applied Mathematics, 98, 355–433. MR98b:34011

C1. Dancer EN (1997) Some singularly perturbed problems on annuli and a counterexample to a problem of Gidas, Ni and Nirenberg. The Bulletin of the London Mathematical Society, 29, 322–326. MR97m:35016

C1. Dancer EN (1997) Competing species systems with diffusion and large interactions. Rendiconti del Seminario Matematico e Fisico di Milano, 65, 23–33.

C1. Dancer EN and Daners D (1997) Domain perturbation for elliptic equations subject to Robin boundary conditions. Journal of Differential Equations, 138, 86–132. MR98e:35017

C1. Dancer EN and Du Y (1997) A note on multiple solutions of some semilinear elliptic problems. Journal of Mathematical Analysis and Applications, 211, 626–640. MR98g:35075

C1. Dancer EN and Hirano N (1997) Existence of stable and unstable periodic solutions for semilinear parabolic problems. Discrete and Continuous Dynamical Systems, 3(2), 207–216. MR97j:35077

C1. Dancer EN and Wei J (1997) On the profile of solutions with two sharp layers to a singularly perturbed semilinear Dirichlet problem. Proceedings of the Royal Society of Edinburgh, 127A, 691–701. MR98i:35012

C1. Daners D (1997) Periodic-parabolic eigenvalue problems with indefinite weight functions. Archiv der Mathematik (Basel), 68, 388–397. MR1441637

C1. Digne F, Lehrer GI and Michel J (1997) On Gel'fand-Graev characters of reductive groups with disconnected centre. Journal für die Reine und Angewandte Mathematik, 491, 131–147. MR98i:20015

C1. Dimca A, Hillman JA and Paunescu L (1997) On hypersurfaces in real projective spaces. Far Eastern Journal of Mathematical Sciences, 5, 159–168. MR97k:57035

C1. Doran-Wu P and Joshi N (1997) Direct asymptotic analysis of the second Painlevé equation: three limits. Journal of Physics. A. Mathematical and General, 30, 4701–4708. MR1479799

C1. Easdown D and Gould V (1997) Cancellative orders. Semigroup Forum, 55, 185–195. MR98h:20105

C1. Glasby SP and Howlett RB (1997) Writing representations over minimal fields. Communications in Algebra, 25(6), 1703–1711. MR98c:20019

C1. Gopalsamy K and He XZ (1997) Oscillations and convergence in an almost periodic competition system. Acta Applicandae Mathematicae, 46(3), 247–266. MR98m:92028

C1. Gottwald GA, Grimshaw RHJ and Malomed B (1997) Parametric Envelope Solitons in Coupled Korteweg-de Vries Equations. Physics Letters. A, 227, 47–54. MR1435920

C1. Graham R and Luckock HC (1997) Cosmological time in quantum supergravity. Physical Review. D, 55(4), 1943–1947. MR97k:83083

C1. Gray BF, Macintosh AC and Wake GC (1997) Analysis of the bifurcational behaviour of a simple model of vapour ignition in porous material. Royal Society of London. Proceedings, Series A, A453, 281–301.

C1. He XZ and Gopalsamy K (1997) Persistence, attractivity, and delay in facultative mutualism. Journal of Mathematical Analysis and Applications, 215(1), 154–173. MR1478857

C1. Henery R, Gibson WG and Bennett MR (1997) Quantal currents and potential in the three-dimensional anisotropic bidomain model of smooth muscle. Bulletin of Mathematical Biology, 59, 1047–1075.

C1. Hillman JA (1997) On the homotopy types of closed 4-manifolds covered by \(S^2\times \mathbb{R}^2\). Topology and its Applications, 75, 287–295. MR98a:57032

C1. Hillman JA (1997) On \(L^2\)-homology and asphericity. Israel Journal of Mathematics, 99, 271–283. MR98f:57035

C1. Hillman JA, Jeffries BRF, Ricker WJ and Straub B (1997) Differential properties of the numerical range map of pairs of matrices. Linear Algebra and its Applications, 267, 317–334. MR98h:15050

C1. Hillman JA and Kearton C (1997) Algebraic invariants of simple 4-knots. Journal of Knot Theory and its Ramifications, 6, 307–318. MR99b:57047

C1. Hillman JA and Sakuma M (1997) On the homology of finite abelian coverings of links. Canadian Mathematical Bulletin, 40, 309–315. MR98i:57010

C1. Howlett RB, Rowley PJ and Taylor DE (1997) On outer automorphism groups of Coxeter groups. Manuscripta Mathematica, 93, 499–513. MR98j:20056

C1. Iltyakov AV (1997) On polynomial identities of Jordan pairs of rectangular matrices. Linear Algebra and its Applications, 260, 257–271. MR98c:15087

C1. James GD and Mathas A (1997) A \(q\)-analogue of the Jantzen-Schaper theorem. Proceedings of the London Mathematical Society, Third Series, 74, 241–274. MR97j:20013

C1. Janelidze G and Kelly GM (1997) The reflectiveness of covering morphisms in algebra and geometry. Theory and Applications of Categories, 3(6), 132–159. MR98k:18002

C1. Jing BY and Robinson J (1997) Two-sample nonparametric tilting method. The Australian Journal of Statistics, 39, 25–34. MR98d:62087

C1. Joarder AH (1997) On the characteristic function of the multivariate Pearson type II distribution. Journal of Information and Optimization Sciences, 18, 177–182. MR98b:60032

C1. Joarder AH and Ali MM (1997) Estimation of the scale matrix of a multivariate T-model under entropy loss. Metrika, 46, 21–32. MR98k:62096

C1. Joarder AH and Mahmood M (1997) An inductive derivation of Stirling numbers of the second kind and their applications in statistics. Journal of Applied Mathematics and Decision Sciences, 1(2), 151–157. MR1609730

C1. Joshi N (1997) A local asymptotic analysis of the first discrete Painlevé equation as the discrete independent variable approaches infinity. Methods and Applications of Analysis, 4, 124–133. MR1603106

C1. Joshi N and Srinivasan GK (1997) The radius of convergence and the well-posedness of the Painlevé expansions of the Kortweg-de-Vries equation. Nonlinearity, 10, 71–79. MR1430740

C1. Katis P, Sabadini N and Walters RFC (1997) Bicategories of processes. Journal of Pure and Applied Algebra, 115, 141–178. MR97m:18010

C1. Kelly GM and Lack S (1997) On property-like structures. Theory and Applications of Categories, 3, 213–250. MR98h:18005

C1. Kelly GM and Le Creurer IJL (1997) On the monadicity over graphs of categories with limits. Cahiers de Topologie et Géométrie Différentielle Catégoriques, 38(3), 179–191. MR98e:18002

C1. Kemp R (1997) Tableaux and rank-selection in Fibonacci lattices. European Journal of Combinatorics, 18, 179–193. MR98a:05154

C1. Kobayashi M and Kuo TC (1997) Uniqueness of unibranched curve in \(\mathbb{R}^2\) up to simple blowings up. Proceedings of the Japan Academy, 73, 97–99. MR98i:14055

C1. Koks D, Hu BL, Matacz A and Raval A (1997) Thermal particle creation in cosmological spacetimes: A stochastic approach. Physical Review. D, 56, 4905–4915.

C1. Koks D, Matacz A and Hu BL (1997) Entropy and uncertainty of squeezed quantum open systems. Physical Review. D, 55, 5917–5935.

C1. Ku S (1997) Limited distribution of sample partial autocorrelations: A matrix approach. Stochastic Processes and their Applications, 72, 121–143. MR99c:62253

C1. Kuo TC (1997) How to analyse singularities of plane curves. Arithmetics - Mathematics, 17, 69–76.

C1. Luckock HC (1997) Boundary terms for globally supersymmetric actions. International Journal of Theoretical Physics, 36(2), 501–507. MR97m:81045

C1. Ma C (1997) On the exact likelihood function of a multivariate autoregressive moving average model. Biometrika, 84, 957–964. MR99a:62133

C1. Ma C (1997) A note on stochastic ordering of order statistics. Journal of Applied Probability, 34, 785–789. MR99g:62069

C1. Ma C (1997) Saddlepoint approximations for multinomial distributions, with applications to the joint distribution of order statistics. Journal of Statistical Computation and Simulation, 59, 33–45. MR1474179

C1. Maini PK and Myerscough MR (1997) Boundary-driven instability. Applied Mathematics Letters, 10, 1–4.

C1. Matacz A (1997) Inflation and the fine-tuning problem. Physical Review. D, 56, 1836–1840.

C1. Matacz A (1997) A new theory of stochastic inflation. Physical Review. D, 55, 1860–1874.

C1. McCrory C and Parusiński A (1997) Complex monodromy and the topology of real algebraic sets. Compositio Mathematica, 106(2), 211–233. MR98d:14075

C1. McCrory C and Parusiński A (1997) Algebraically constructible functions. Annales Scientifiques de l'École Normale Supérieure, 30(4), 527–552. MR1456244

C1. Monro GP (1997) This is art, not science. Leonardo Music Journal, 7, 77–80.

C1. Parshall KH and Seneta E (1997) Building an international reputation: the case of J.J.Sylvester(1814-1897). American Mathematical Monthly, 104, 210–222. MR97m:01081

C1. Parusiński A and Szafraniec Z (1997) Algebraically constructible functions and signs of polynomials. Manuscripta Mathematica, 93(4), 443–456. MR98d:14070

C1. Paunescu L and Zaharia A (1997) On the Lojasiewicz exponent at infinity for polynomial functions. Kodai Mathematical Journal, 20(3), 269–274. MR98m:32050

C1. Phipps MC (1997) Small samples and the tilted bootstrap. Theory of Stochastic Processes, 3(19), 355–362.

C1. Plesken W and Souvignier B (1997) Computing isometries of lattices. Journal of Symbolic Computation, 24(3/4), 327–334. MR98i:11047

C1. Quine MP (1997) A calculus-based proof of a Stirling formula for the Gamma function. International Journal of Mathematics Education, Science and Technology, 28, 914–917. MR1491305

C1. Sekhon LHS, Spence I, Morgan MK and Weber NC (1997) Chronic cerebral hypoperfusion inhibits calcium-induced long-term potentiation in rats. Stroke, 28(5), 1043–1048.

C1. Sekhon LHS, Spence I, Morgan MK and Weber NC (1997) Chronic cerebral hypoperfusion: pathological and behavioral consequences. Journal of Neurosurgery, 40(3), 548–556.

C1. Seneta E (1997) M Krawtchouk (1892-1942): Professor of Mathematical Statistics. Theory of Stochastic Processes, 3(19), 388–392.

C1. Seneta E and Chen T (1997) A sequentially rejective test procedure. Theory of Stochastic Processes, 3(19), 393–402.

C1. Sexton MJ, Forbes LK and Gray BF (1997) A study of the dynamics of a continuously stirred tank reactor with feedback control of the temperature. Dynamics and Stability of Systems, 12(2), 89–107. MR98d:80016

C1. Sidhu HS, Forbes LK and Gray BF (1997) Forced reaction in a CSTR. A comparison between the full system and the reduced model. Chemical Engineering Science, 52(16), 2667–2676.

C1. Singh A and Peiris MS (1997) A simulation study on vector arma processes with nonstationary innovation: a new approach to identification. Journal of Statistical Computation and Simulation, 58, 37–58.

C1. Steel A (1997) A new algorithm for the computation of canonical forms of matrices over fields. Journal of Symbolic Computation, 24(3/4), 409–432. MR98m:65070

C1. Sun SH and Dhillon A (1997) Prime spectra of additive categories. Journal of Pure and Applied Algebra, 122(1-2), 135–157. MR98i:18005

C1. Voskuil H (1997) On the action of the unitary group on the projective plane over a local field. Journal of the Australian Mathematical Society, (Series A), 62, 371–397. MR98c:20093

C1. Waalkens H, Wiersig J and Dullin HR (1997) Elliptic quantum billiard. Ann. Physics,, 260, 50–90.

C1. Weber NC and Kokic PN (1997) On Cramer's condition for Edgeworth expansions in the finite population case. Theory of Stochastic Processes, 3, 468–474.

C1. Weber RO, Mercer GN, Sidhu HS and Gray BF (1997) Combustion waves for gases (\(Le=1\)) and solids (\(Le \to \infty\)). Royal Society of London. Proceedings, 453, 1105–1118. MR98a:80007

C1. Wilson PR, Burtonclay D and Li Y (1997) The rotational structure of the region below the solar convection zone. The Astrophysical Journal, 489, 395–402.

C1. Winch DE, Davyskib A and Samsonov BA (1997) Gyroscopic stabilisation of rotating artificial satellites by movable antennas. Mathematica Mechanica, 5, 69–71. MR1483300

C1. Zheligovsky VA and Podvigina OM (1997) An optimized iterative method for numerical solution of large systems of equations based on the extremal property of zeroes of Chebyshev polynomials. Journal of Scientific Computing, 12(4), 433–464. MR98m:65096

C4. Gastineau-Hills HM (1997) Bach and numerology: 'valid mathemtical stuff'? Literature and Aesthetics, 000, 000–000.

Conference Proceedings

E1. Abraham B, Thavaneswaran A and Peiris MS (1997) On the prediction scheme for some nonlinear time series models using estimating functions. Symposium on Estimating Functions, Selected Proceedings of the Symposium on Estimating Functions, Ishwar V. Basawa, V.P. Godambe and Robert Taylor (ed.) , Lecture Notes - Monograph Series, Institute of Mathematical Statistics, 259–271.

E1. Cannon JJ and Souvignier B (1997) An the computation of conjugacy classes in permutation groups. ISSAC 97, Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation, Wolfgang W. Kuchlin (ed.) , ISSAC 97, ACM Press (Association for Computing Machinery, Inc.), ISBN 0 89791 875 4, 392–399. MR1810005

E1. Cartwright DI (1997) A brief introduction to buildings. Workshop on Harmonic Functions on Graphs, Harmonic functions on trees and buildings, Adam Korányi (ed.) , Contemporary Mathematics, American Mathematical Society, ISBN 0-8218-0605-X, 45–77. MR98k:51026

E1. Dimca A and Paunescu L (1997) Real singularities and dihedral representations. Workshop on real and complex singularities, Proceedings of the International Workshop on Singularities and Topology, Maria Aparecida Soares Ruas (ed.) , Matematica contemporana, Sociedade Brasileira De Matematica, 67–82. MR99g:14070

E1. Katis P, Sabadini N and Walters RFC (1997) Span(Graph): A categorical algebra of transition systems. AMAST '97, Algebraic Methodology and Software Technology, Michael Johnson (ed.) , Lecture Notes in Computer Science, Springer, ISBN 3-540-63888-1, 307–321.

E1. Katis P, Sabadini N and Walters RFC (1997) Representing place/transition nets in Span(Graph). AMAST '97, Algebraic Methodology and Software Technology, Michael Johnson (ed.) , Lecture Notes in Computer Science, Springer, ISBN 3-540-63888-1, 322–336.

E1. Kuo TC (1997) Some ideas of René Thom and their outcomes. Stratifications and Topology of Singular Spaces, Stratifications and Topology of Singular Spaces, Editeurs des sciences et des arts (ed.) , Travaux en cours, Hermann, ISBN 2 7056 6319 3, 73–77. MR1473243

E1. Lehrer GI (1997) Fourier transforms, nilpotent orbits, Hall polynomials and Green functions. Finite Reductive Groups: Related Structures and Representations, Finite Reductive Groups: Related Structures and Representations, Marc Cabanes (ed.) , Progress in Mathematics, Birkhauser Boston, 291–309. MR98b:20074

E1. Meffin H and Gibson WG (1997) Threshold setting and mean firing rates in networks of spiking integrate-and-fire neurons. The Eighth Australian Conference on Neural Networks (ACNN'97), Proceedings of the Eighth Australian Conference on Neural Networks (ACNN'97), Michael Dale (ed.) , Australian Conference on Neural Networks, Telstra Research Laboratories, ISBN 0 642 27163 1, 45–49.

E1. Monro GP (1997) Taming chaotic waveforms. Interface 97, Interface 97 Conference Proceedings, John Rimmer, John Elmsly (ed.) , University of Auckland School of Music, 1–9.

E1. Seneta E (1997) I. J. Bienaymé [1796-1878]: Criticality, inequality, internationalization. International Statistical Institute, 51st Session., Bulletin of the International Statistical Institute, (Not given) (ed.) , 51st Session, Proceedings, Tome LVII, Two Books, Book 1., International Statistical Institute, 67–70.

E1. Tortoli P, Berti P, Guidi F, Thompson RS and Aldis GK (1997) Flow imaging with pulsed Doppler ultrasound: refraction artefacts and dual mode propagation. International ultrasonics symposium, Proceedings of 1997 IEEE International Ultrasonics Symposium, S C Schneider, M Levy, B R McAvay (ed.) , IEEE, IEEE, 1269–1272.

E3. Coop AD, Gibson WG and Bennett MR (1997) Analysis of spontaneous hyperpolarizing currents in preganglionic nerve terminals of the parasympathetic neurones in avian ciliary ganglia. Australian Neuroscience Society. Seventeenth Annual Meeting, Proceedings of the Australian Neuroscience Society, P. Pilowsky (ed.) , Australian Neuroscience Society, 8, 126.

E3. Fraser WB (1997) The theory of yarn plying. ANZIAM'97 33rd Australian Applied Mathematics Conference, The 33rd Australian applied Mathematics Conference: AZIAM'97, Conference programme and book of Abstracts (ed.) , 33rd Australian Applied Mathematics Conference, Australian Math Soc: ANZIAM, ISBN 0 7259 0869 6, no pagination.

E3. Gibson WG, Bennett MR and Robinson J (1997) Modelling the evoked release of quanta at active zones: theoretical investigation of the secretosome hypothesis. Australian Neuroscience Society. Seventeenth Annual Meeting, Proceedings of the Australian Neuroscience Society, P. Pilowsky (ed.) , Australian Neuroscience Society, 8, 123.

E3. Gibson WG, Robinson J and Bennett MR (1997) Modelling the evoked release of quanta at active zones. Fourteenth International Australasian Winter Conference on Brain Research, Abstracts of the Fourteenth International Australasian Winter Conference on Brain Research, S. Weinstein (ed.) , International Journal of Neuroscience, Gordon and Breach, 94.

E3. Kearns JL, Lin YQ, Gibson WG and Bennett MR (1997) Extracellular current flow and potential during synaptic transmission from a sympathetic bouton on a pelvic ganglion cell. Australian Neuroscience Society. Seventeenth Annual Meeting, Proceedings of the Australian Neuroscience Society, P. Pilowsky (ed.) , Australian Neuroscience Society, 8, 127.