# 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 F, 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 W 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 M 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 M 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.

**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.

## Unpublished Conference Proceedings

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

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

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

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

**UN.**
Ivanoff BG and Weber NC
Weak convergence of row and column exchangeable arrays.
*11th Australian Statistical Conference, Perth*
.

**UN.**
Kelly GM
An introduction to two-dimensional universal algebra.
*Troisième Cycle Romand de Mathématiques, Fribourg, Switzerland*
.

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

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

**UN.**
Monro GP
Fractal interpolation waveforms.
*New Music Australia Conference, Melbourne, July 1992*
.

**UN.**
Palmer WD
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*
.

**UN.**
Peiris MS
Some aspects of forecasting with vector ARMA processes.
*11th Australian Statistical Conference, University of WA, Perth*
.

**UN.**
Robinson J and Gibson WG
Statistical analysis of the dynamics of an associative memory.
*11th Australian Statistical Conference*
.

**UN.**
Seneta E
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.
.

**UN.**
Seneta E
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.
.

**UN.**
Taylor DE
Linear versions of the Klein correspondence.
*Miniconference on Group Theory, Australian National University, August 1992*
.

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

**UN.**
Wilson PR
Forward calculations of frequency splitting coefficients.
*GONG Workshop, Boulder, Colorado August 1992*
.

**UN.**
Winch DE
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.
.