# Research Publications for 1991

## Books

**A1.**
Bosma W and Cannon JJ

Bosma W, Cannon JJ**:**
*A Handbook of Cayley Functions.*
1st edn,
1991,
1–243 pages.

**A1.**
Bray RJ, Cram LE, Durrant CJ and Loughhead RE

Bray RJ, Cram LE, Durrant CJ, Loughhead RE**:**
*Plasma Loops in the Solar Corona.*
Cambridge University Press, Cambridge New York Port Chester Melbourne Sydney,
1991.

**A1.**
Lai KF and Fen S

Lai KF, Fen S**:**
*Topological Groups.*
Science Press, Academica Sinica, Beijing,
1991.

**A2.**
Hutchinson TP

Hutchinson TP**:**
*Ability, Partial Information, Guessing: Statistical Modelling Applied to Multiple-Choice Tests.*
Rumsby Scientific Publishing, Adelaide,
1991.
MR1116551

**A2.**
Hutchinson TP

Hutchinson TP**:**
*Controversies in Item Response Theory.*
Rumsby Scientific Publishing, Adelaide,
1991.
MR1116552

**A2.**
Hutchinson TP and Lai CD

Hutchinson TP, Lai CD**:**
*The Engineering Statistician's Guide to Continuous Bivariate Distributions.*
Rumsby Scientific Publishing, Adelaide,
1991.
MR1098498

**A2.**
Monro GP

Monro GP**:**
*Proofs and Problems in Calculus.*
2nd edition,
Carslaw Publications,
1991.

**A2.**
Walters RFC

Walters RFC**:**
*Categories and Computer Science.*
Carslaw Publications, Sydney,
1991.
MR1204658

**A5.**
Lavers PS

Lavers PS**:**
*Iterating the logistic map.*
1991.

**A5.**
Lin YQ

Lin YQ**:**
*A stochastic model for long-term potentiation at NMDA synspses.*
1991.

**A5.**
Mansfield EM

Mansfield EM**:**
*Differential Gröbner bases.*
The University of Sydney,
1991,
(Elizabeth Hintz).

**A5.**
Paunescu L

Paunescu L**:**
*A weighted version of the Kuiper-Kuo-Bochnak-Łojasiewicz inequality.*
The University of Sydney,
1991.

**A5.**
Scoufis G

Scoufis G**:**
*The classification of all Painlevé equations in the class \(y"^2 = F(x,y,y')\).*
1991.

## Chapters in Books

**B1.**
Cosgrove CM

Cosgrove CM**:**
On an overdetermined Euclidean/Poincaré-invariant system of partial differential equations,
*Chaos and Order.*
Joshi N, Dewar RL (ed.),
World Scientific, Singapore,
1991,
22–48.

**B1.**
Gray BF, Graham-Eagle JG, Burnell JB and Wake GC

Gray BF, Graham-Eagle JG, Burnell JB, Wake GC**:**
A new scaling of problems in combustion theory,
*Reaction-Diffusion Equations.*
Brown KJ, Lacey AA (ed.),
Oxford Science Publications,
Oxford University Press,
1991

**B1.**
Seneta E

Seneta E**:**
Sensitivity analysis, ergodicity coefficients, and rank-one updates for finite Markov chains,
*Numerical Solution of Markov Chains.*
Stewart WJ (ed.),
Marcel Dekker, New York,
1991,
121–129.
(Chapter 7)
MR1142112

**B1.**
Zheligovsky VA

Zheligovsky VA**:**
On magnetic field generation by a flow of a conducting medium with an internal scale. II,
*Modern methods for seismic data processing.*
Computational Seismology,
**24**,
Nauka, Moscow,
1991,
205–217.

## Journal Articles

**C1.**
Barnes DW and Lambe LA

Barnes DW, Lambe LA**:**
A fixed point approach to homological perturbation theory.
*Proceedings of the American Mathematical Society*,
112
(1991),
881–892.
MR91j:55019

**C1.**
Bieri R and Hillman JA

Bieri R, Hillman JA**:**
Subnormal subgroups of 3-dimensional Poincaré duality groups.
*Mathematische Zeitschrift*,
206
(1991),
67–69.
MR92e:57002

**C1.**
Bierstone E, Milman PD and Parusiński A

Bierstone E, Milman P, Parusiński A**:**
A function which is arc analytic but not continuous.
*Proceedings of the American Mathematical Society*,
113
(1991),
419–424.
MR91m:32008

**C1.**
Bosma W and Kraaikamp C

Bosma W, Kraaikamp C**:**
Optimal approximation by continued fractions.
*Journal of the Australian Mathematical Society*,
(Series A),
50
(1991),
481–504.
MR92f:11093

**C1.**
Bracken AJ, McAnally DS, Zhang RB and Gould MD

Bracken A. J., McAnally D. S., Zhang R. B., Gould M. D.**:**
A \(q\)-analogue of Bargmann space and its scalar product.
*J. Phys. A*,
24
(1991),
no.7,
1379–1391.
MR1121817

**C1.**
Breckenridge JW, Gastineau-Hills HM, Nelson AM, Bos P, Calvert G and Wehrhahn KH

Breckenridge JW, Gastineau-Hills HM, Nelson AM, Bos P, Calvert G, Wehrhahn KH**:**
Lattice paths and Catalan numbers.
*Bulletin of the Institute of Combinatorics and its Applications*,
1
(1991),
41–55.
MR92m:05008

**C1.**
Brown SF

Brown SF**:**
Loop ensemble models of solar active regions.
*Astronomy and Astrophysics*,
249
(1991),
243–249.

**C1.**
Brown SF, Donati JF, Rees DE and Semel M

Brown SF, Donati JF, Rees DE, Semel M**:**
Zeeman-Doppler imaging of solar-type and Ap stars. IV: Maximum entropy reconstruction of 2D magnetic topologies.
*Astronomy and Astrophysics*,
250
(1991),
463–474.

**C1.**
Buchen PW

Buchen PW**:**
Seismic migration and mathematical mapping.
*Exploration Geophysics*,
22
(1991),
55–58.
(8th Australian Society of Exploration Geophysics Conference and Exhibition, Sydney, February 1991)

**C1.**
Butler G and Cannon JJ

Butler G, Cannon JJ**:**
Computing Sylow subgroups of permutation groups via homomorphic images of centralizers.
*Journal of Symbolic Computation*,
12
(1991),
443–458.
MR92m:20002

**C1.**
Cameron PJ and Cannon JJ

Cameron PJ, Cannon JJ**:**
Recognizing doubly transitive groups.
*Journal of Symbolic Computation*,
12
(1991),
459–474.
MR92m:20003

**C1.**
Carboni A, Kelly GM and Wood RJ

Carboni A, Kelly GM, Wood RJ**:**
A 2-categorical approach to change of base and geometric morphisms. I.
*Cahiers de Topologie et Géométrie Différentielle Catégoriques*,
32
(1991),
47–95.
MR92j:18003

**C1.**
Cartwright DI and Sawyer S

Cartwright DI, Sawyer S**:**
The Martin boundary for general isotropic random walks on a tree.
*Journal of Theoretical Probability*,
4
(1991),
111–136.
MR92f:60131

**C1.**
Choo KG and Sun SH

Choo KG, Sun SH**:**
New properties of the concentric circle space and its applications to cardinal inequalities.
*Commentationes Mathematicæ Universitatis Carolinæ*,
32
(1991),
395–403.
MR92m:54066

**C1.**
Dancer EN

Dancer EN**:**
On the existence and uniqueness of positive solutions for competing species models with diffusion.
*Transactions of the American Mathematical Society*,
326
(1991),
829–859.
MR91k:35122

**C1.**
Dancer EN

Dancer EN**:**
Upper and lower stability and index theory for positive mappings and applications.
*Nonlinear Analysis. Theory, Methods and Applications*,
17
(1991),
205–217.
MR1120974

**C1.**
Dancer EN

Dancer EN**:**
On the number of positive solutions of some weakly nonlinear equations in annular regions.
*Mathematische Zeitschrift*,
206
(1991),
551–562.
MR92k:35097

**C1.**
Dancer EN

Dancer EN**:**
On the existence of two-dimensional invariant tori for scalar parabolic equations with time periodic coefficients.
*Annali della Scuola Normale Superiore di Pisa*,
43
(1991),
455–471.
MR1145318

**C1.**
Dancer EN and Hess P

Dancer EN, Hess P**:**
Stability of fixed points for order-preserving discrete-time dynamical systems.
*Journal für die Reine und Angewandte Mathematik*,
419
(1991),
125–139.
MR92i:47088

**C1.**
Dancer EN and Toland JF

Dancer EN, Toland J**:**
Equilibrium states in the degree theory of periodic orbits with a first integral.
*Proceedings of the London Mathematical Society*,
63
(1991),
569–594.
MR92m:58111

**C1.**
Dimca A

Dimca A**:**
On the de Rham cohomology of a hypersurface complement.
*American Journal of Mathematics*,
113
(1991),
763–771.
MR93c:14021

**C1.**
Du J

Du J**:**
The modular representation theory of \(q\)-Schur algebras II.
*Mathematische Zeitschrift*,
208
(1991),
33–39.
MR1098597

**C1.**
Du J

Du J**:**
Sign types and Kazhdan-Lusztig cells.
*Chinese Annals of Mathematics*,
12B
(1991),
33–39.
MR92c:20089

**C1.**
Edelman D

Edelman D**:**
On the Inadmissibility of the Usual Procedure for Two Independent Tests of Normal Mean.
*American Journal of Mathematical and Management Sciences*,
10
(1991),
(in honor of Herbert Robbins)
MR1181681

**C1.**
Edelman D

Edelman D**:**
The Five Degree of Freedom Rule for Fixed-Width Confidence Intervals for the Mean of a Normal Distribution.
*Biometrics*,
(1991),
733–739.

**C1.**
Eyland RW and Sharp B

Eyland RW, Sharp B**:**
A factor theorem for locally convex differentiability spaces.
*Bulletin of the Australian Mathematical Society*,
43
(1991),
101–113.
MR92h:46060

**C1.**
Fackerell ED and Kerr RP

Fackerell ED, Kerr RP**:**
Einstein vacuum field equations with a single non-null Killing vector.
*General Relativity and Gravitation*,
23
(1991),
861–876.
MR92f:83016

**C1.**
Field MJ, Golubitsky M and Stewart IN

Field MJ, Golubitsky M, Stewart IN**:**
Hemisphere bifurcations.
*Journal of Nonlinear Science*,
1
(1991),
201–223.
MR92f:58036

**C1.**
Field MJ and Swift JW

Field MJ, Swift JW**:**
Static bifurcation to limit cycles and heteroclinic cycles.
*Nonlinearity*,
4
(1991),
1001–1043.
MR92k:58191

**C1.**
Forbes LK, Myerscough MR and Gray BF

Forbes LK, Myerscough MR, Gray BF**:**
On the presence of limit-cycles in a model exothermic chemical reaction: Sal'nikov's oscillator with two temperature-dependent reaction rates.
*Royal Society of London. Proceedings*,
Series A. Mathematical and Physical Sciences,
A 435
(1991),
591–604.
MR92j:80008

**C1.**
Gibson WG, Robinson J and Bennett MR

Gibson WG, Robinson J, Bennett MR**:**
Probabilistic secretion of quanta in the central nervous system: granule cell synaptic control of pattern separation and activity regulation.
*Philosophical Transactions of the Royal Society of London*,
Series B,
332
(1991),
199–220.

**C1.**
Gould MD, Zhang RB and Bracken AJ

Gould M. D., Zhang R. B., Bracken A. J.**:**
Lie bi-superalgebras and the graded classical Yang-Baxter equation.
*Rev. Math. Phys.*,
3
(1991),
no.2,
223–240.
MR1121469

**C1.**
Gould MD, Zhang RB and Bracken AJ

Gould M. D., Zhang R. B., Bracken A. J.**:**
Generalized GelÊ¹fand invariants and characteristic identities for quantum groups.
*J. Math. Phys.*,
32
(1991),
no.9,
2298–2303.
MR1122513

**C1.**
Gray BF, Coppersthwaite DP and Griffiths JF

Gray BF, Coppersthwaite DP, Griffiths JF**:**
Oscillatory reactions in a semi-batch reactor.
*Journal of Physical Chemistry*,
95
(1991),
6961–6970.

**C1.**
Gray BF, Merkin JH and Wake GC

Gray BF, Merkin JMH, Wake GC**:**
Disjoint bifurcation diagrams in combustion systems.
*Mathematical and Computer Modelling*,
15
(1991),
25–33.
MR92g:80011

**C1.**
Hillman JA

Hillman JA**:**
Elementary amenable groups and 4-manifolds with Euler characteristic 0.
*Journal of the Australian Mathematical Society*,
50
(1991),
160–170.
MR92g:20057

**C1.**
Hillman JA

Hillman JA**:**
On 4-manifolds homotopy equivalent to surface bundles over surfaces.
*Topology and its Applications*,
40
(1991),
275–286.
MR92g:57031

**C1.**
Hillman JA

Hillman JA**:**
On 4-manifolds homotopy equivalent to circle bundles over 3-manifolds.
*Israel Journal of Mathematics*,
75
(1991),
277–287.
MR93m:57022

**C1.**
Keener RW, Kmenta J and Weber NC

Keener RW, Kmenta J, Weber NC**:**
Estimation of the covariance matrix of the least squares regression coefficients when the disturbance covariance matrix is of unknown form.
*Econometric Theory*,
7
(1991),
22–45.
MR92e:62195

**C1.**
Kijima M and Seneta E

Kijima M, Seneta E**:**
Some results for quasi-stationary distributions of birth-death processes.
*Journal of Applied Probability*,
28
(1991),
503–511.
MR92j:60103

**C1.**
Kokic PN and Weber NC

Kokic PN, Weber NC**:**
Rates of strong convergence for \(U\)-statistics in finite populations.
*Journal of the Australian Mathematical Society*,
(Series A),
50
(1991),
468–480.
MR92c:60040

**C1.**
Lai KF

Lai KF**:**
Orbital integrals on symmetric spaces.
*Comptes Rendus de l'Académie des Sciences*,
Série I. Mathématique,
312
(1991),
913–917.
MR93b:22015

**C1.**
Lai KF

Lai KF**:**
Lefschetz numbers and unitary groups.
*Bulletin of the Australian Mathematical Society*,
43
(1991),
193–209.
MR92a:11063

**C1.**
Lai KF

Lai KF**:**
On Arthur's class expansion of the relative trace formula.
*Duke Mathematical Journal*,
64
(1991),
111–117.
MR92k:22031

**C1.**
Luckock HC

Luckock HC**:**
Mixed Boundary Conditions in Quantum Field Theory.
*Journal of Mathematical Physics*,
32
(1991),
1755–1766.
MR92h:81111

**C1.**
Luckock HC

Luckock HC**:**
Boundary Conditions for Nicolai Maps.
*Journal of Physics. A. Mathematical and General*,
24
(1991),
L1057–L1063.
MR1127286

**C1.**
Macaskill C

Macaskill C**:**
Geometrical optics and enhanced backscatter from very rough surfaces.
*Journal of the Optical Society of America*,
8
(1991),
88–96.

**C1.**
Maini PK, Myerscough MR, Winters KH and Murray JD

*Maini PK, Myerscough MR, Winters KH, Murray JD**:**
Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern formation.
*Bulletin of Mathematical Biology*,
53
(1991),
701–719.

**C1.**
Middleton JF and Viera F

Middleton JF, Viera F**:**
The diffraction of Coastally Trapped waves by a strait.
*Journal of Physical Oceanography*,
21
(1991),
695–708.

**C1.**
Mills TM and Seneta E

Mills TM, Seneta E**:**
Independence of partial autocorrelations for a classical immigration branching process.
*Stochastic Processes and their Applications*,
37
(1991),
275–279.
MR92d:62111

**C1.**
Monro GP

Monro GP**:**
The Pan Pacific Music Technology Camp — Gordon Monro interviews Dennis Patterson.
*Chroma (Newsletter of the Australian Computer Music Association)*,
7
(1991)

**C1.**
Murray JD and Myerscough MR

Murray JD, Myerscough MR**:**
Pigmentation pattern formation on snakes.
*Journal of Theoretical Biology*,
149
(1991),
339–360.

**C1.**
Parusiński A

Parusiński A**:**
Multiplicity of the dual variety.
*The Bulletin of the London Mathematical Society*,
23
(1991),
429–436.
MR93a:14006

**C1.**
Peiris MS

Peiris MS**:**
Some non-stationary ARMA models.
*Advances in Modelling and Simulation*,
27
(1991),
21–34.

**C1.**
Phan D

Phan D**:**
Twistfree and Papapetrou vacuum spacetimes with a spacelike Killing vector.
*General Relativity and Gravitation*,
23
(1991),
269–295.
MR92a:83018

**C1.**
Quine MP

Quine MP**:**
An elementary proof of Stirling's formula.
*Australian Mathematical Society Gazette*,
18
(1991),
93–94.
MR1133479

**C1.**
Quine MP

Quine MP**:**
A model for instantaneous growth on a line.
*Journal of Applied Probability*,
28
(1991),
529–538.
MR92m:60012

**C1.**
Rees DE

Rees DE**:**
The Incompleat Angler.
*International Journal of Mathematics Education, Science and Technology*,
(1991)
MR1223613

**C1.**
Saunders C

Clive Saunders**:**
The reflection representations of some Chevalley groups.
*J. Algebra*,
137
(1991),
145–165.
MR1090215

**C1.**
Suffern KG and Fackerell ED

Suffern KG, Fackerell ED**:**
Interval methods in computer graphics.
*Computers and Graphics*,
15
(1991),
331–340.

**C1.**
Sun SH

Sun SH**:**
Tychonoff embedding Theorem in completely distributive lattices.
*Annals of Mathematics*,
12A
(1991),
365–372.
MR93a:06012

**C1.**
Sun SH

Sun SH**:**
Non-commutative rings in which every prime ideal is contained in a unique maximal ideal.
*Journal of Pure and Applied Algebra*,
76
(1991),
179–192.
MR93b:16058

**C1.**
Thatcher JD, Robinson RD and Rees DE

Thatcher JD, Robinson RD, Rees DE**:**
The chromospheres of late-type stars. I Epsilon eridani as a test case of multiline modelling.
*Monthly Notices of the Royal Astronomical Society*,
250
(1991),
14–23.

**C1.**
Veldhuis JD, Johnson ML and Seneta E

Veldhuis JD, Johnson ML, Seneta E**:**
Analysis of the copulsatility of anterior pituitary hormones.
*Journal of Clinical Endocrinology and Metabolism*,
73
(1991),
569–573.

**C1.**
Whiting PM

Whiting PM**:**
Maximum entropy reflection tomography.
*Exploration Geophysics*,
22
(1991),
447–450.
(8th Australian Society of Exploration Geophysics Conference and Exhibition, Sydney, February 1991)

**C1.**
Wilson PR and McIntosh PS

Wilson PR, McIntosh PS**:**
The reversal of the solar polar magnetic fields. II Simulations of the large-scale fields.
*Solar Physics*,
136
(1991),
221–237.

**C1.**
Zhang RB

Zhang R. B.**:**
Multiparameter dependent solutions of the Yang-Baxter equation.
*J. Phys. A*,
24
(1991),
no.10,
L535–L543.
MR1118526

**C1.**
Zhang RB

Zhang R. B.**:**
Graded representations of the Temperley-Lieb algebra, quantum supergroups, and the Jones polynomial.
*J. Math. Phys.*,
32
(1991),
no.10,
260–2613.
MR1130532

**C1.**
Zhang RB

Zhang R. B.**:**
Invariants of the quantum supergroup \(U_q(\mathrm{ gl}(m/1))\).
*J. Phys. A*,
24
(1991),
no.23,
L1327–L1332.
MR1139934

**C1.**
Zhang RB, Bracken AJ and Gould MD

Zhang R. B., Bracken A. J., Gould M. D.**:**
Solution of the graded Yang-Baxter equation associated with the vector representation of \(U_q(\mathrm{ osp}(M/2n))\).
*Phys. Lett. B*,
257
(1991),
no.1-2,
133–139.
MR1100868

**C1.**
Zhang RB and Gould MD

Zhang R. B., Gould M. D.**:**
Universal \(R\)-matrices and invariants of quantum supergroups.
*J. Math. Phys.*,
32
(1991),
no.12,
3261–3267.
MR1137376

**C1.**
Zhang RB, Gould MD and Bracken AJ

Zhang R. B., Gould M. D., Bracken A. J.**:**
Quantum group invariants and link polynomials.
*Comm. Math. Phys.*,
137
(1991),
no.1,
13–27.
MR1099254

**C1.**
Zhang RB, Gould MD and Bracken AJ

Zhang R. B., Gould M. D., Bracken A. J.**:**
From representations of the braid group to solutions of the Yang-Baxter equation.
*Nuclear Phys. B*,
354
(1991),
no.2-3,
625–652.
MR1103067

**C1.**
Zhang RB, Gould MD and Bracken AJ

Zhang R. B., Gould M. D., Bracken A. J.**:**
Solutions of the graded classical Yang-Baxter equation and integrable models.
*J. Phys. A*,
24
(1991),
no.6,
1185–1197.
MR1105682

**C1.**
Zhang RB, Gould MD and Bracken AJ

Zhang R. B., Gould M. D., Bracken A. J.**:**
Generalized GelÊ¹fand invariants of quantum groups.
*J. Phys. A*,
24
(1991),
no.5,
937–943.
MR1118764

**C1.**
Zheligovsky VA

Zheligovsky VA**:**
\(\alpha\)-effect in generation of magnetic field by a flow of conducting fluid with internal scale in an axisymmetric volume.
*Geophysical and Astrophysical Fluid Dynamics*,
59
(1991),
235–251.
MR92i:76103

**C1.**
Zheligovsky VA, Sadovsky AM and Simpson RV

Zheligovsky VA, Sadovsky AM, Simpson RV**:**
On relation of horizontal gradients of the parameter S=H+10B and seismicity.
*Rossiĭskaya Akademiya Nauk. Doklady Akademii Nauk*,
318
(1991),
82–87.

**C1.**
Zhou DX

Ding Xuan Zhou**:**
Inverse theorems in \(L^p\) for some multidimensional positive linear operators.
*Chinese Ann. Math. Ser. B*,
12
(1991),
no.4,
#8211;530.
MR1154639

**C1.**
Zhou DX

Ding Xuan Zhou**:**
\(L^p\)-inverse theorems for beta operators..
*J. Approx. Theory*,
66
(1991),
no.3,
#8211;287.
MR1122289

**C3.**
Glasby SP

Glasby SP**:**
Extensions of groups defined by power-commutator presentations.
*SIGSAM Bulletin*,
38
(1991),
32–53.

**C4.**
Trudinger BJ and Thompson RS

B J Trudinger and R S Thompson**:**
Do velocity indices measure resistance?
*Ultrasound in Obstetrics and Gynecology*,
1
(1991),
160–161.

## Reviews

**D.**
Seneta E

Seneta E**:**
Review of "A History of Probability and Statistics and Their Applications before 1750" by Anders Hald (Wiley, New York, 1990).
*Historia Mathematica*,
18
(1991),
75–78.

## Conference Proceedings

**E1.**
Bosma W and Pohst ME

Bosma W, Pohst M
(1991).
Computations with finitely generated modules over Dedekind domains.
*International Symposium on Symbolic and Algebraic Computation*,
*Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation*,
Watt SM (ed.) ,
Association for Computing Machinery, New York,
151–156.

**E1.**
Brown SF and Durrant CJ

Brown SF, Durrant CJ
(1991).
Modelling coronal active region emission patterns.
*Mechanisms of Chromospheric and Coronal Heating, Heidelberg, (1990)*,
Ulmschneider P, Priest ER, Rosner R eds (ed.) ,
Springer-Verlag, Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona,
132–134.

**E1.**
Dimca A

Dimca A
(1991).
Differential forms and hypersurface singularities.
*Singularity Theory and its Applications*,
Mon D, Montaldi J eds (ed.) ,
Lecture Notes in Mathematics,
Springer-Verlag, Berlin Heidelberg New York,
**1462**,
122–153.
MR1129028

**E1.**
Easdown D

Easdown D
(1991).
Minimal faithful permutation and transformation representations of groups and semigroups.
*Maltsev Algebra Conference, Novosibirsk, USSR, August 21–26 1989*,
*Proceedings of the Maltsev Algebra Conference, Novosibirsk, USSR, (1989)*
MR1232671

**E1.**
Easdown D

Easdown D
(1991).
Biordered sets of rings.
*Monash Conference on Semigroups in honour of G.B. Preston, Monash, July 12–14 1990*,
*Monash Conference on Semigroup Theory in Honour of G.B. Preston*,
Hall TE, Jones PK, Meakin JC eds (ed.) ,
World Scientific Publishing
MR1232671

**E1.**
Easdown D

Easdown D
(1991).
Biordered sets: a tool for constructing semigroups.
*Berkeley Workshop on Monoids, Berkeley, July 31 – August 5 1989*,
*Monoids and Semigroups with Applications*,
Rhodes J (ed.) ,
World Scientific Publishing
MR1232671

**E1.**
Field MJ

Field MJ
(1991).
Local structure of equivariant dynamics.
*Singularity Theory and its Applications*,
*Singularity Theory and its Applications, Warwick 1989, Part II*,
Roberts M, Stewart I eds (ed.) ,
Lecture Notes in Mathematics,
Springer-Verlag, Berlin Heidelberg New York,
**1463**,
142–166.
MR1129052

**E1.**
Kelly GM

Kelly GM
(1991).
A note on relations relative to a factorization system.
*Category Theory, Como 1990*,
Lecture Notes in Mathematics,
Springer, Berlin,
**1488**,
249–261.
MR93g:18007

**E1.**
Kruskal MD and Joshi N

Kruskal M D and Joshi N
(1991).
Soliton theory, Painlevé property and integrability.
*Proceedings of the centre for mathematical analysis*,
N Joshi and R L Dewar (ed.) ,
Chaos and Order,
World Scientific,
82–96.
MR1108839

**E1.**
Parusiński A and Pragacz P

Parusiński A, Pragacz P
(1991).
Characteristic numbers of degeneracy loci.
*Proceedings of the 1989 Zeuthen Symposium*,
*Enumerative Algebraic Geometry*,
Kleiman SL, Thorup A eds (ed.) ,
Contemporary Mathematics,
American Mathematical Society, Providence,
**123**,
189–197.
MR1143555

**E1.**
Sun SH

Sun SH
(1991).
Remarks on sheaf representations of universal algebras.
*Category Theory 1991*,
*Proceedings of the 1991 Summer Category Theory Meeting*,
Canadian Mathematical Society
MR1417329

**E1.**
Walters RFC and Carmody S

Walters RFC, Carmody S
(1991).
Computing quotients of actions of a free category.
Lecture Notes in Mathematics,
Springer, Berlin,
**1448**,
63–78.
MR1173005

**E1.**
Weibel T and Gonnet GH

Weibel T, Gonnet GH
(1991).
An algebra of properties.
*International Symposium on Symbolic and Algebraic Computation*,
*Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation*,
Watt SM (ed.) ,
Association for Computing Machinery, New York,
352–359.

**E3.**
Galloway DJ

Galloway DJ
(1991).
Eigenfunction Structure of the ABC kinematic Dynamos.
*27th Applied Mathematics Conference of the Australian Mathematical Society, Hanmer Springs, Canterbury, New Zealand, 3–7 February, 1991*

**E3.**
Galloway DJ and Proctor MRE

Galloway DJ, Proctor MRE
(1991).
Numerical Calculations of Fast Dynamos.
*Theory of Sunspots, NATO Workshop, Cambridge, UK 22–27 September 1991*

**E3.**
Runcorn SK and Winch DE

Runcorn SK, Winch DE
(1991).
The Pacific Cable Experiment.
*20th General Assembly of the International Union of Geodesy and Geophysics*,
Sünkel M, Hofmann-Wellenhoff B eds (ed.) ,
IAGA Program and Abstracts,
607.

**E3.**
Taylor DE

Taylor DE
(1991).
Distance-regular graphs and doubly-transitive groups.
*International Conference on Algebraic Combinatorics, Vladimir*,
Ivanov AA, Klin M eds (ed.)

**E3.**
Whiting PM

Whiting PM
(1991).
Practical reflection tomography and maximum entropy.
*61st Annual International Society of Exploration Geophysics Meeting, Houston, November 1991*,
986–989.
(Expanded abstracts)

**E3.**
Winch DE

Winch DE
(1991).
Singular value decomposition and \(S_q\) analysis.
*20th General Assembly of the International Union of Geodesy and Geophysics*,
Sünkel M, Hofmann-Wellenhoff B eds (ed.) ,
IAGA Program and Abstracts,
603.

**E4.**
Joshi N and Dewar RL

Nalini Joshi and Robert L Dewar (eds)
(1991).
Chaos & Order.
*Chaos & Order*,
*Proceedings of the miniconference held at the Australian National University*,
World Scientific Publishing,
viii+120.
MR1108832

## Computer Software

**G1.**
Cannon JJ and others

Cannon JJ, et al
(1991).
A platform for algebraic software.
(46,000 lines of C code.)
.

**G1.**
Cannon JJ and others

Cannon JJ, et al
(1991).
Cayley V3.8.
(As for V3.7 plus modules, matrix rings, character theory and graph theory; 360,000 lines of C code.)
.

**G1.**
Carmody S, Reilly C and Walters RFC

Carmody S, Reilly C, Walters RFC
(1991).
KAN — a program for computing left Kan extensions.
.

**G1.**
Field MJ

Field MJ
(1991).
Prism – A PRogram for the Interactive Study of Maps.
.

## Other Output

**OT.**
Mowbray B and Mack JM

Mowbray B, Mack JM
(1991/92).
Changing views of mathematics education. Parts 1, 2 and 3.
*School Education News*,
NSW Department of Education, Sydney,
**5 and 6**,
(Three articles in three issues of News (to all State school teachers))

## Creative Works

**OT.**
Emerson R, Fredericks I and Monro GP

Emerson R, Fredericks I, Monro GP
(1991).
Night on a fractal mountain.
(Presented as part of the ``New Voices'' concert in the Belvoir St Theatre, 9th Sept 1991)

**OT.**
Emerson R, Fredericks I and Monro GP

Emerson R, Fredericks I, Monro GP
(1991).
Seven studies in space and time.
(Presented at the 1991 WATT concerts (4 concerts), Seymour Centre, October 1991)

## Unpublished Conference Proceedings

**UN.**
Brown SF

Brown SF.
A model for intermediate temperature solar coronal loops.
*25th Annual General Meeting of the Astronomical Society of Australia, Monash University, 1991*
.

**UN.**
Cartwright DI

Cartwright DI.
Local limit theorems on discrete groups.
*Harmonic Analysis and Probability, University of New South Wales, July 1991*
.

**UN.**
Cartwright DI

Cartwright DI.
Groups acting on triangle buildings.
*Harmonic Analysis and Discrete Potential Theory, Frascati, Italy, June 1991*
.

**UN.**
Durrant CJ

Durrant CJ.
Radiative inputs Sun-Earth.
*25th Annual General Meeting of the Australian Astronomical Society, Monash University, 1991*
.

**UN.**
Easdown D

Easdown D.
Presentations of symmetric inverse and full transformation semigroups.
*Algebraic theory of semigroups and applications (Oberwolfach, Germany, July 1991)*
.

**UN.**
Eyland RW

Eyland RW.
Differentiability and convexity.
*Harmonic Analysis and Probability, University of New South Wales, July 1991*
.

**UN.**
Fraser WB

Fraser WB.
Unravelling the unwinding problem.
*27th Australian Applied Mathematics Conference, Hanmer Springs, New Zealand, February 1991*
.

**UN.**
Gibson WG

Gibson WG.
Hopfield neural nets and neural memory models.
*Australian Conference on Neural Networks (Tutorial Program), Sydney (February, 1991)*
.

**UN.**
Gray BF, Foulds GA, Griffiths JF and Walker S

Gray BF, Foulds G, Griffiths JF, Walker S.
Experimental and theoretical results on the direct partial oxidation of methane.
*2nd. Australian Flame Conference, North Ryde, October 1991*
.

**UN.**
Hillman JA

Hillman JA.
Complex analytic surfaces and 2-knots.
*Annual Conference of the Australian Math. Soc., Melbourne, June 1991*
.

**UN.**
Howlett RB

Howlett RB.
The Solomon algebra of a Coxeter group.
*Warwick Algebra Symposium (March 1991)*
.

**UN.**
Howlett RB

Howlett RB.
Schur multipliers of Coxeter groups.
*Warwick Algebra Symposium (May 1991)*
.

**UN.**
Jing BY

Jing BY.
Bahadur slopes for comparison of tests based on resampling.
*Workshop on Saddlepoint Methods in Statistics, Canberra, 17–19 July 1991*
.

**UN.**
Kelly DRC

Kelly DRC.
Radiative hydrodynamics of type II supernovae.
*25th Annual General Meeting of the Astronomical Society of Australia, Monash University, 1991*
.

**UN.**
Kelly GM

Kelly GM.
Closed and cartesian closed bicategories with applications to polymorphic functional programming.
*Category Theory 1991, McGill University Montreal, 1991*
.

**UN.**
Lehrer GI

Lehrer GI.
Rational tori and the topology of hyperplane complements.
*The representation theory of algebraic groups and related groups of Lie type (University of Warwick, July 1991)*
.

**UN.**
Macaskill C and Broutman D

Macaskill C, Broutman D.
A numerical investigation of the nonlinear interaction of short internal waves with near-inertial waves.
*27th Australian Applied Mathematics Conference, Hanmer Springs, New Zealand, February 1991*
.

**UN.**
Macaskill C and Kachoyan BJ

Macaskill C, Kachoyan BJ.
Iterative methods for scattering from rough surfaces varying in either one or two dimensions.
*International Committee for Optics Topical Meeting on Atmospheric, Volume and Surface Scattering and Propagation, Florence, August 1991*,
An extended summary appears in the Digest of the meeting, pp 227–230
.

**UN.**
Mack JM

Mack JM.
Assessment, Curriculum and Society.
*ICMI Study Conference on Assessment*,
Invited paper to International Conference, Spain, 1991
.

**UN.**
Myerscough MR

Myerscough MR.
Bifurcation in two nonlinear ordinary differential equation models.
*Conference on Engineering and Physical Science in Medicine*,
Held at University of New South Wales, July 1991
.

**UN.**
Quine MP

Quine MP.
A linear random growth model.
*Workshop on Stochastic systems, Canberra, 13–17 May 1991*
.

**UN.**
Quine MP

Quine MP.
Instantaneous growth on a line.
*Workshop on Stochastic systems, Canberra, 13–17 May 1991*
.

**UN.**
Robinson J

Robinson J.
A survey of saddlepoint approximations in resampling.
*Workshop on Saddlepoint Methods in Statistics, Canberra, 17–19 July 1991*
.

**UN.**
Robinson J

Robinson J.
A survey of tail area approximations.
*Workshop on Saddlepoint Methods in Statistics, Canberra, 17–19 July 1991*
.

**UN.**
Sun SH and Johnson MS

Sun SH, Johnson MS.
Remarks on sheaf representation theorems of universal algebras.
*Category Theory 1991, McGill University Montreal, 1991*
.

**UN.**
Taylor DE

Taylor DE.
Modules for Solomon Algebras.
*35th Annual Meeting of the Australian Mathematical Society*,
June 1991, Melbourne
.

**UN.**
Walters RFC

Walters RFC.
An imperative language based on distributive categories.
*London Mathematical Society Symposium on Applications of Categories in Computer Science, Durham, 1991*
.

**UN.**
Wilson PR

Wilson PR.
The reversal of the solar polar magnetic fields.
*Cool stars workshop, Tucson (Arizona), October 1991*
.

**UN.**
Wilson PR

Wilson PR.
The polar magnetic fields near sunspot maximum.
*Solar cycle workshop, New Mexico, October 1991*
.

**UN.**
Wilson PR

Wilson PR.
Simulations of the large-scale solar magnetic fields.
*NATO sunspot workshop, Cambridge, UK, September 1991*
.