# Research Publications for 1992

## Books

A1. Daners D and Koch Medina P: Abstract evolution equations, periodic problems and applications. Pitman Research Notes in Mathematics, 279 Longman Scientific & Technical, Harlow, Essex, 1992, ISBN 0-582-09635-9, iv+249 pages. MR94b:34002

A1. Dimca A: Singularities and Topology of Hypersurfaces. Universitext, Springer-Verlag, 1992. MR1194180

A1. Taylor DE: The Geometry of the Classical Groups. Sigma Series in Pure Mathematics, 9 Heldermann Verlag, Berlin, 1992, ISBN 3-88538-009-9, 239 pages. MR94d:20028

A1. Walters RFC: Categories and Computer Science. Cambridge University Press, 1992.

A2. Hutchinson TP and Ke Y: Corrections, Addenda, and Comments Published in Journals of Statistics and Mathematics Applied to Psychology and Education, 1970–1991: An Index. Rumsby Scientific Publishing, Adelaide, 1992.

A2. Hutchinson TP and Ke Y: Index to Corrections, Addenda, and Comments That Were Published in Statistics Journals, 1970–1991. Rumsby Scientific Publishing, Adelaide, 1992. MR1169296

## Chapters in Books

B1. Breny H, Jongmans F and Seneta E: A. Meyer et l'Academie, Regards sur 175 ans de science a l'Université de Liège. Bernes AC (ed.), Centre d'Histoire des Sciences et des Techniques. Université de Liège, 1992, 13–22 bis. (Annexe)

## Journal Articles

C1. Adhikari SK and Gibson WG: Low-energy behaviour of few-particle scattering amplitudes in two dimensions. Physical Review. A, 46 (1992), 3967–3977.

C1. Baraclough D, Clark T, Cowley S, Hibberd F, Hide R, Kerridge D, Lowes FJ, Malin SRC, Murphy T, Risbeth H, Runcorn SK, Soffel H, Stewart D, Stuart W, Whaler K and Winch DE: 150 years of magnetic observatories: recent researches on world data. Surveys in Geophysics, 13 (1992), 47–88.

C1. Barton CE, Winch DE, McEwin AJ, Hitchman AP and Hopgood PA: Evaluation over Australia of candidate models for IGRF90. Journal of Geomagnetism and Geoelectricity, 44 (1992), 843–854.

C1. Bergeron F, Bergeron N, Howlett RB and Taylor DE: A decomposition of the descent algebra of a finite Coxeter group. Journal of Algebraic Combinatorics, 1 (1992), 23–44. MR93g:20079

C1. Brown SF: A model for intermediate temperature solar coronal loops. Proceedings of the Astronomical Society of Australia, 10 (1992), 58–60.

C1. Brown SF, Donati JF, Semel M, Rees DE, Dempsey RC, Matthews JM, Henry GW and Hall DS: Photospheric imaging of the RS CVn system HR 1099. Astronomy and Astrophysics, 265 (1992), 682–700.

C1. Bru B, Jongmans F and Seneta E: I.-J. Bienaymé: Family information and proof of the criticality theorem. International Statistical Review, 60 (1992), 177–183.

C1. Bruce ID and Easdown D: The And/Or theorem for perceptrons. Journal of the Australian Mathematical Society, (Series A), 53 (1992), 1–8. MR94g:92003

C1. Cartwright DI: Singularities of the Green function of a random walk on a discrete group. Monatshefte für Mathematik, 113 (1992), 183–188. MR93e:60137

C1. Cartwright DI and Woess W: Infinite graphs with nonconstant Dirichlet finite harmonic functions. SIAM Journal for Discrete Mathematics, 5 (1992), no.3, 380–385. MR94a:31005

C1. Daners D: Qualitative behaviour of an epidemics model. Differential and Integral Equations, 5 (1992), 1017–1032. MR1171976

C1. Digne F, Lehrer GI and Michel J: The characters of the groups of rational points of reductive groups with non-connected centres. Journal für die Reine und Angewandte Mathematik, 425 (1992), 155–192. MR93c:20071

C1. Du J: Kazhdan-Lusztig bases and isomorphism theorems for $$q$$-Schur algebras. Contemporary Mathematics, 139 (1992), 121–140. MR1197832

C1. Du J: The modular representation of $$q$$-Schur algebras. Transactions of the American Mathematical Society, 329 (1992), 253–271. MR92g:20022

C1. Du J: The Green correspondence for the representations of Hecke algebras of type $$A_n$$. Transactions of the American Mathematical Society, 329 (1992), 273–287. MR92g:20021

C1. Du J: Integral Schur algebras for $$\mathrm{GL}_2$$. Manuscripta Mathematica, 75 (1992), 411–427. MR93g:20086

C1. Du J: Canonical bases for irreducible representations of quantum $$\mathrm{GL}_n$$. The Bulletin of the London Mathematical Society, 24 (1992), 325–334. MR93g:17023

C1. Du J, Parshall B and Wang J-P: Two parameter quantum linear groups and the hyperbolic invariance of $$q$$-Schur algebras. Journal of the London Mathematical Society, 44 (1992), 420–436.

C1. Easdown D: Minimal faithful permutation and transformation representations of groups and semigroups. Contemporary Mathematics, 131 (1992), no.3, 75–84. MR1175873

C1. Epps TW and Seneta E: Maximum-likelihood estimation for Galton-Watson processes. Communications in Statistics. Theory and Methods, 21 (1992), 733–748. MR93j:62208

C1. Farber MS: Noncommutative rational functions and boundary links. Mathematische Annalen, 293 (1992), 543–568. MR94m:68137

C1. Farber MS: Stable homotopy and homology invariants of boundary links. Transactions of the American Mathematical Society, 334 (1992), 455–477. MR93a:57023

C1. Farber MS and Vogel P: The Cohn localization of the free group ring. Mathematical Proceedings of the Cambridge Philosophical Society, 3 (1992), 433–444. MR93b:16049

C1. Field MJ and Richardson RW: Symmetry breaking and branching patterns in equivariant bifurcation theory I. Archive for Rational Mechanics and Analysis, 118 (1992), 297–348. MR93f:58166

C1. Field MJ and Richardson RW: Symmetry breaking and branching patterns in equivariant bifurcation theory II. Archive for Rational Mechanics and Analysis, 120 (1992), 147–190. MR93h:58111

C1. Fraser WB: The effect of yarn elasticity on the unwinding balloon. Journal of the Textile Institute, 83 (1992), 603–613.

C1. Fraser WB, Ghosh TK and Batra SK: On unwinding yarn from a cylindrical package. Royal Society of London. Proceedings, Series A. Mathematical and Physical Sciences, A436 (1992), 479–498. MR93e:73031

C1. Galloway DJ and Proctor MRE: Numerical calculations of fast dynamos in smooth velocity fields with realistic diffusion. Nature, 356 (1992), 691–693.

C1. Gibson WG and Robinson J: Statistical analysis of the dynamics of a sparse associative memory. Neural Networks, 5 (1992), 645–661.

C1. Glasby SP and Howlett RB: Extraspecial towers and Weil representations. Journal of Algebra, 151 (1992), 236–260. MR93j:20072

C1. Hillman JA and Linnell PA: Elementary amenable groups of finite Hirsch length are locally-finite by virtually-solvable. Journal of the Australian Mathematical Society, 52 (1992), 237–241. MR93b:20067

C1. Hu T-C and Weber NC: On the rate of convergence in the strong law of large numbers for arrays. Bulletin of the Australian Mathematical Society, 45 (1992), 479–482. MR93d:60044

C1. Huang X, Fraser WB and Karihaloo BL: Contribution of first-order moduli differences to dilatant transformation toughening. International Journal of Solids and Structures, 30 (1992), 151–160.

C1. Hutchinson TP: Randomization tests and the generalized method of $$m$$ rankings. Computer Methods and Programs in Biomedicine, 37 (1992), 163–164.

C1. Hutchinson TP: In the multifactorial model of disease transmission, why is the rank correlation sensitive to choice of bivariate distribution? Annals of Human Genetics, 56 (1992), 159–161.

C1. Hutchinson TP: Self-indexing. The Indexer, 18 (1992), 105–106.

C1. Hutchinson TP and Lai CD: Concepts of stochastic ageing — Who cares? Safety and Reliability, 12 (1992), no.3, 7–12.

C1. Ivanoff BG and Weber NC: Weak convergence of row and column exchangeable arrays. Stochastics and Stochastic Reports, 22 (1992), 1–22. MR95b:60042

C1. Johnson MS and Walters RFC: Algebra objects and algebra families for finite limit theories. Journal of Pure and Applied Algebra, 83 (1992), 283–293. MR94d:18003

C1. Jones JC, Gray BF and Rahmati H: Experimental simulation of the infinite slab in thermal ignition. Journal of Chemical Technology and Biotechnology, 53 (1992), 383–387.

C1. Jongmans F and Seneta E: In Memoriam Henri Breny (1923-1991). Mathématique et Pédagogie, 89 (1992), 45–49.

C1. Joshi N, Burtonclay D and Halburd RG: Nonlinear nonautonomous discrete dynamic-systems from a general discrete isomonodromy problem. Letters in mathematical physics, 26 (1992), no.2, 123–131.

C1. Kirkpatrick PB: Finite cubes and finite affine spaces. Journal of the Australasian Combinatorial Society, 6 (1992), 89–106. MR1196110

C1. Lai KF: Regular elliptic classes. Bulletin of the Canadian Mathematical Society, 35 (1992), no.2, 230–236. MR93i:11061

C1. Lehrer GI: The $$l$$-adic cohomology of hyperplane complements. The Bulletin of the London Mathematical Society, 24 (1992), 76–82. MR92j:14022

C1. Lehrer GI: Rational tori, semisimple orbits and the topology of hyperplane complements. Commentarii Mathematici Helvetici, 67 (1992), 226–251. MR93e:20065

C1. Lehrer GI and Thévenaz J: Sur la conjecture d'Alperin pour les groupes réductifs finis. Comptes Rendus de l'Académie des Sciences, Série I. Mathématique, 315 (1992), 1347–1351. MR93k:20067

C1. Luckock HC and McKane AJ: A non-diagrammatic method for perturbative calculations in field theory. Journal of Physics. A. Mathematical and General, 25 (1992), 3435. MR93b:81173

C1. Macaskill C: Acoustic scattering from the sea surface. Acoustics Australia, 20 (1992), no.3, 99–101.

C1. Murray N and Wilson PR: The reversal of the solar polar magnetic fields. IV The polar fields near sunspot maximum. Solar Physics, 142 (1992), 221–232.

C1. Myerscough MR, Gray BF, Hogarth WL and Norbury J: An analysis of an ordinary differential equation model for a two-species predator-prey system with harvesting and stocking. Journal of Mathematical Biology, 30 (1992), 389–411. MR93e:92013

C1. Myerscough MR and Murray JD: Analysis of propagating pattern in a chemotaxis system. Bulletin of Mathematical Biology, 54 (1992), 77–94.

C1. Nelson AM: Lattices over integral group rings and abelian subquotients. Journal of Algebra, 148 (1992), 444–478. MR93g:20013

C1. Palmer WD: A composition theorem for generalized Bhaskar-Rao designs. Australasian Journal of Combinatorics, 6 (1992), 221–228. MR93k:05039

C1. Palmer WD: Partial generalized Bhaskar-Rao designs over abelian groups. Australasian Journal of Combinatorics, 6 (1992), 257–266. MR93i:05041

C1. Poznanski RR: Modelling the electrotonic structure of starburst amacrine cells in the rabbit retina: a functional interpretation of dendritic morphology. Bulletin of Mathematical Biology, 54 (1992), 905–928.

C1. Quine MP and Robinson J: Estimation for a linear growth model. Statistics and Probability Letters, 15 (1992), 293–297.

C1. Richardson JS: The Blockhandler and the Bitfield package. Journal of Symbolic Computation, 14 (1992), 93–101.

C1. Runcorn SK and Winch DE: The origin of the geomagnetic annual variation. Surveys in Geophysics, 13 (1992), 69–70.

C1. Seneta E: On the history of the strong law of large numbers and Boole's inequality. Historia Mathematica, 19 (1992), 24–39. MR93b:01032

C1. Sun SH: On the least multiplicative nucleus of a ring. Journal of Pure and Applied Algebra, 78 (1992), 311–318. MR93k:16037

C1. Sun SH: On separation lemmas. Journal of Pure and Applied Algebra, 78 (1992), 301–310. MR93d:06005

C1. Sun SH: A remark on Gelfand duality. Bulletin of the Australian Mathematical Society, 46 (1992), 187–197. MR93m:16001

C1. Sun SH: Rings in which every prime ideal is contained in a unique maximal ideal. Journal of Pure and Applied Algebra, 78 (1992), 183–194. MR93f:16001

C1. Sun SH: Spectra of monoidal lattices. Algebra Universalis, (1992) MR1418479

C1. Szczotka W: A distributional form of Little's law in heavy traffic. The Annals of Probability, 20 (1992), 790–800. MR93c:60151

C1. Szczotka W: Weak convergence under mappings. Probability and Mathematical Statistics, 13 (1992), 39–58. MR93m:60019

C1. Taylor DE: Two-graphs and doubly transitive groups. Journal of Combinatorial Theory, Series B, 61 (1992), 113–122. MR1178388

C1. Veldhuis JD, Johnson ML, Iranmamesh A and Seneta E: Temporal coupling among luteinizing hormone, follicle stimulating hormone, beta-endorphin and cortisol pulse episodes in vivo. Acta Endocrinologica, 126 (1992), 193–200.

C1. Viera F: Scattering of long divergent shelf waves by a thin barrier parallel to the coast. Journal of Physical Oceanography, 22 (1992), 944–950.

C1. Walters RFC: An imperative language based on distributive categories. Mathematical Structures in Computer Science, 2 (1992), 249–256. MR93g:68011

C1. Wilson PR: The reversal of the solar polar magnetic fields. III The large-scale fields and the first major active regions of cycle~22. Solar Physics, 138 (1992), 11–21.

C1. Wilson PR: Helioseismology data and the solar dynamo. Astrophysical Journal, 399 (1992), 294–299.

## Reviews

D. Hutchinson TP: Review of "Traffic Safety and the Driver" by L Evans. Accident Analysis and Prevention, 24 (1992), 87–88.

D. Seneta E: Review of : R.L. Plackett and G.A. Barnard (eds) "Student. A Statistical Biography of William Sealy Gossett." Based on writings by E.S. Pearson. Annals of Science, 49 (1992), 198–199.

D. Wilson PR: Theoretical implications of the extended activity cycle (Invited Review). Proceedings of the Solar Cycle Workshop, Sunspot New Mexico, (1992), 368–378.

## Conference Proceedings

E1. Brown SF and Donati JF (1992) Mapping magnetic fields on rapidly rotating stars. Surface Inhomogeneities on Late-Type Stars, Byrne, Mullen (ed.) , 139–141. (Part of report for 1990. Armagh Conference.)

E1. Dampney C, Johnson MS and Monro GP (1992) An illustrated mathematical foundation for ERA. Proceedings of the Conference on Unified Computing, Institute of Mathematics and its Applications, Oxford University Press, 77–84.

E1. Duval F, Mokrani MC, Crocq MR, Weber NC, Rosenberg S, Castro J, Valdivieso S and Macher JP (1992) Multihormonal responses to a series of neuroendocrine tests in psychiatric patients. New Prospects in Psychiatry. The Bio-Clinical Interface I, Machner JP, Crocq MA eds (ed.) , Elsevier, Amsterdam, 192–205.

E1. Gray BF, Foulds GA, Griffiths JF and Walker GS (1992) Theoretical modelling of the gas phase partial oxidation of methane. Symposium on Natural Gas Upgrading 11, Division of Petroleum Chemistry, American Chemical Society, 51–60.

E1. Gray BF, Griffiths JF and Coppersthwaite DP (1992) A novel thermal instability in a semi-batch reactor. 26th Loss Prevention Symposium, American Institute of Chemical Engineers, 75f

E1. Gray BF, Little SG and Wake GC (1992) The prediction of a practical lower bound for ignition delay times and a method of scaling times-to-ignition in large reactant masses from laboratory data – II. 24th International Symposium on Combustion, The Combustion Institute, 1785–1791.

E1. Hillman JA (1992) Geometries on 4-manifolds, Euler characteristic and elementary amenable groups. International conference on Knot Theory Related Topics, Osaka, Japan, August 15–19 1990, Proceedings of an International Conference on Knots, de Gruyter, New York, 25–46. MR94b:57022

E1. Hutchinson TP (1992) Providing information to the traveller by public transport. Proceedings of the 14th Conference of Australian Institutes of Transport Research, Institute of Transport Studies, University of Sydney MR1191623

E1. Johnson MS and Sun SH (1992) Remarks on representations of universal algebras by sheaves of quotient algebras. Proceedings of the International Summer Category Theory Meeting, June 1991, 13, 299–307. MR1192153

E1. Johnson MS and Walters RFC (1992) Category theoretic modelling of digital circuits and systems. Pan-Commonwealth conference on mathematical modelling in circuit designs, Kandy, Sri Lanka, May 1992, Commonwealth Science Council MR1194840

E1. Kelly GM (1992) On clubs and datatype constructors. London Mathematical Society Symposium on Applications of Categories in Computer Science, Durham, (1991), Applications of Categories to Computer Science, 163–190. MR1176963

E1. Kuo TC (1992) Truncation of Taylor series. College on Singularities Theory, Trieste, Italy, Aug 16–Sept 5, 1991 MR1313238

E1. Kuo TC (1992) Singularities of real analytic functions. College on Singularities Theory, Trieste, Italy, Aug 16–Sept 6, 1991 MR1313238

E1. Kuo TC (1992) Stratification theory. College on Singularities Theory, Trieste, Italy, Aug 16–Sept 5, 1991 MR1313238

E1. Lai KF (1992) On Arthur's invariant trace formula. Algebraic Geometry and Algebraic Number Theory, Proceedings of the Special Programme, Nankai Institute of Mathematics, 35–63. MR96g:11053

E1. Macaskill C and Broutman D (1992) A numerical investigation of the nonlinear interaction of short internal waves with inertial waves. Proceedings of the 11th Australasian Fluid Mechanics Conference

E1. Seneta E (1992) Applications of ergodicity coefficients to homogeneous Markov chains. 50 Years after Doeblin: Developments in the Theory of Markov Chains, Markov Processes and Sums of Random Variables. Blaubeuren, Germany, 2–7 November, 1991 MR1173719

E1. Wilson PR (1992) The polar magnetic fields near sunspots. Solar Cycle Workshop, Sunspot, New Mexico, October 1991, Harvey KL (ed.) , Astronomical Society of the Pacific Conference Series, 27, 116–123.

E2. Durrant CJ (1992) Radiative inputs Sun-Earth. 28th Australian Applied Mathematics Conference, Bateman's Bay, 1992

E2. Fraser WB (1992) On the theory of ring spinning. 28th Australian Applied Mathematics Conference, Bateman's Bay, February 1992

E2. Gibson WG, Robinson J and Bennett MR (1992) An autoassociative memory model for the CA3 region of the hippocampus. ARC Cognitive Science Forum, Macquarie University, Sydney (January, 1992)

E2. Hillman JA (1992) Invariants for simple 4-knots. Annual Conference of the Australian Mathematical Society, Perth, July 1992

E2. Ivanoff BG and Weber NC (1992) Weak convergence of row and column exchangeable arrays. 11th Australian Statistical Conference, Perth

E2. Kelly GM (1992) An introduction to two-dimensional universal algebra. Troisième Cycle Romand de Mathématiques, Fribourg, Switzerland

E2. Kelly GM (1992) Categories with structure and 2-monads. International Meeting on Category Theory, Isle of Thorns 12–17 July 1992

E2. Kelly GM (1992) A categorical look at operads. Peripatetic Seminar on Sheaves and Logic, Cambridge, England 28–29 November 1992

E2. Monro GP (1992) Fractal interpolation waveforms. New Music Australia Conference, Melbourne, July 1992

E2. Palmer WD (1992) Latin square constructions for partial generalized Bhaskar-Rao designs. 18th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing, University of Western Australia, July 6–10, 1992

E2. Peiris MS (1992) Some aspects of forecasting with vector ARMA processes. 11th Australian Statistical Conference, University of WA, Perth

E2. Robinson J and Gibson WG (1992) Statistical analysis of the dynamics of an associative memory. 11th Australian Statistical Conference

E2. Seneta E (1992) Maximal correlation and ergodicity coefficients. Conference dedicated to the memory of Mikhailo Kravchuk. Kiev, Ukraine, 22-28 September, 1992, (Sponsored by the Mathematical Institute, Ukrainian Academy of Sciences.)

E2. Seneta E (1992) Krawtchouk polynomials in the work of Australian statisticians. Conference dedicated to the memory of Mikhailo Kravchuk. Kiev, Ukraine, 22-28 September, 1992, (Sponsored by the Mathematical Institute, Ukrainian Academy of Sciences.)

E2. Taylor DE (1992) Linear versions of the Klein correspondence. Miniconference on Group Theory, Australian National University, August 1992

E2. Taylor DE (1992) The Klein correspondence and half-spin spaces. Australian Mathematical Society 36th Annual Meeting, Perth, July 1992

E2. Wilson PR (1992) Forward calculations of frequency splitting coefficients. GONG Workshop, Boulder, Colorado August 1992

E2. Winch DE (1992) Daily magnetic changes and the history of observatories since 1840. Progress in geomagnetism in Australia 1792-1992, (Organised by the Geological Society of Australia, Specialist Group on solid-earth geophysics.)

E3. Bennett MR, Gibson WG and Poznanski RR (1992) Extracellular current flow and potential during quantal transmission from varicosities in a smooth muscle syncytium. Australian Physiological and Pharmacological Society Meeting, Sydney (September, 1992), Proceedings of the Australian Physiological and Pharmacological Society, 23, 183P.

E3. Gibson WG and Robinson J (1992) Sparse associative memory. Australian Conference on Neural Networks, Canberra (February, 1992), Proceedings of the Third Australian Conference on Neural Networks, 37–40.