# Research Publications for 1993

## Books

**A1.**
Dancer EN**:**
*Weakly nonlinear Dirichlet problems on long or thin domains.*
Memoirs of the American Mathematical Society,
**105**
American Mathematical Society,
1993,
66 pages.
MR94b:35113

**A1.**
Keepes B, Sinclair K, Ball S, Harman K and Kearns JL**:**
*Evaluation of the First Year of the TV Open Learning Project.*
Australian Government Publishing Service,
1993.

**A2.**
Hutchinson TP**:**
*Essentials of Statistical Methods, in 41 Pages.*
Rumsby Scientific Publishing, Adelaide,
1993.

## Chapters in Books

**B1.**
Durrant CJ**:**
Solar telescopes,
*Astronomy and Astrophysics.*
Voigt HH (ed.),
Landolt-Boernstein Numerical Data and Functional Relationships in Science and Technology,
**VI/3 a**,
Springer-Verlag,
1993,
12–16.

**B1.**
Durrant CJ**:**
The Sun,
*Astronomy and Astrophysics.*
Voigt HH (ed.),
Landolt-Boernstein Numerical Data and Functional Relationships in Science and Technology,
**VI/3 a**,
Springer-Verlag,
1993,
79–105.

**B1.**
Joshi N and Kruskal MD**:**
A local asymptotic method of seeing the natural barrier of the Chazy equation,
*Applications of analytic and geometric methods for nonlinear differential equations.*
Kluwer,
New York,
1993,
331–339.
MR1261674

**B1.**
Zheligovsky O and Pouquet A**:**
Hydrodynamic Stability of the ABC Flow,
*Solar and Planetary Dynamos.*
Proctor MRE, Matthews PC, Rucklidge AM (ed.),
Cambridge University Press,
1993,
347–354.

**B1.**
Zheligovsky VA**:**
On magnetic field generation by a class of flows of conducting fluid in a sphere: corrigendum et addendum,
*Problems in earthquake prediction and interpretation of Seismological Data.*
Computational Seismology,
**25**,
Nauka, Moscow,
1993,
109–136.

## Journal Articles

**C1.**
Bennett MR, Gibson WG and Poznanski RR**:**
Extracellular current flow and potential during quantal transmission from varicosities in a smooth muscle syncytium.
*Philosophical Transactions of the Royal Society of London*,
Series B,
B342
(1993),
89–99.

**C1.**
Brink B and Howlett RB**:**
A finiteness property and an automatic structure for Coxeter groups.
*Mathematische Annalen*,
296
(1993),
179–190.
MR94d:20045

**C1.**
Buchwald VT and Viera F**:**
The diffraction of coastally trapped waves into and from a strait.
*Geophysical and Astrophysical Fluid Dynamics*,
72
(1993),
1–34.

**C1.**
Butler G and Cannon JJ**:**
On Holt's algorithm.
*Journal of Symbolic Computation*,
15
(1993)
MR1281200

**C1.**
Carboni A, Kelly GM and Pedicchio MC**:**
Some remarks on Maltsev and Goursat categories.
*Applied Categorical Structures*,
1
(1993),
385–421.
MR95c:18003

**C1.**
Carboni A, Lack S and Walters RFC**:**
Introduction to extensive and distributive categories.
*Journal of Pure and Applied Algebra*,
84
(1993),
145–158.
MR93k:18004

**C1.**
Cartwright DI, Mantero AM, Steger TM and Zappa A**:**
Groups acting simply transitively on the vertices of a building of type \({\tilde A}_2\) I.
*Geometriæ Dedicata*,
47
(1993),
143–166.
MR95b:20053

**C1.**
Cartwright DI, Mantero AM, Steger TM and Zappa A**:**
Groups acting simply transitively on the vertices of a building of type \({\tilde A}_2\) II: the cases \(q=2\) and \(q=3\).
*Geometriæ Dedicata*,
47
(1993),
167–226.
MR95b:20054

**C1.**
Cartwright DI, Soardi PM and Woess W**:**
Martin and end compactifications of non locally finite graphs.
*Transactions of the American Mathematical Society*,
338
(1993),
679–693.
MR93j:60096

**C1.**
Chan WK, Lai KF and Castillo R**:**
Riemannian foliation in \(N=1\), \(D=11\) supergravity.
*Il Nuovo Cimento*,
108 B
(1993),
no.7,
739–752.
MR95g:83101

**C1.**
Choo KG and Sun SH**:**
On extensive normal quantales.
*Bulletin of the Malaysian Mathematical Society*,
Second Series,
16
(1993),
11–20.

**C1.**
Church PT, Dancer EN and Timourian J**:**
The structure of a nonlinear elliptic operator.
*Transactions of the American Mathematical Society*,
338
(1993),
1–41.
MR93j:35076

**C1.**
Cohen JE, Iwasa Y, Rautu Gh, Ruskai MB, Seneta E and Zbaganu Gh**:**
Relative entropy under mappings by stochastic matrices.
*Linear Algebra and its Applications*,
179
(1993),
211–235.
MR93m:60145

**C1.**
Cosgrove CM**:**
Painlevé classification of all semilinear partial differential equations of the second order I. Hyperbolic equations in two independent variables.
*Studies in Applied Mathematics*,
89
(1993),
1–61.
MR94g:35010

**C1.**
Cosgrove CM**:**
Painlevé classification of all semilinear partial differential equations of the second order II. Parabolic and higher-dimensional equations.
*Studies in Applied Mathematics*,
89
(1993),
95–151.
MR94g:35011

**C1.**
Cosgrove CM**:**
All binomial-type Painlevé equations of the second order and degree three or higher.
*Studies in Applied Mathematics*,
90
(1993),
119–187.
MR95e:34012

**C1.**
Cosgrove CM and Scoufis G**:**
Painlevé classification of a class of differential equations of the second order and second degree.
*Studies in Applied Mathematics*,
88
(1993),
25–87.
MR93k:34008

**C1.**
Dancer EN**:**
On uniqueness and stability for solutions of singularly perturbed predator prey type equations with diffusion.
*Journal of Differential Equations*,
102
(1993),
1–32.
MR94e:35075

**C1.**
Dancer EN**:**
Generic domain dependence for non smooth equations and the open set problem for jumping nonlinearity.
*Methods in Nonlinear Analysis*,
1
(1993),
139–150.
MR94c:35085

**C1.**
Dancer EN**:**
Connectedness of the branch of positive solutions of some weakly nonlinear elliptic equations.
*Topological Methods in Analysis*,
2
(1993),
91–104.
MR94j:35051

**C1.**
Dancer EN and Toland JF**:**
The index change and global bifurcation for systems with a first integral.
*Proceedings of the London Mathematical Society*,
66
(1993),
539–567.
MR94a:58140

**C1.**
Dimca A and Saito M**:**
On the cohomology of a general fiber of a polynomial map.
*Compositio Mathematica*,
85
(1993),
299–309.
MR94b:32060

**C1.**
Easdown D and Munn WD**:**
On semigroups with involution.
*Bulletin of the Australian Mathematical Society*,
48
(1993),
93–100.
MR94f:20120

**C1.**
Farber MS and Hillman JA**:**
Doubly null concordant knots have hyperbolic stable isometry structures.
*Journal of Knot Theory and its Ramifications*,
2
(1993),
125–140.
MR94i:57038

**C1.**
Fraser WB**:**
On the theory of ring spinning.
*Philosophical Transactions of the Royal Society of London*,
Series B,
A342
(1993)
MR1253327

**C1.**
Fraser WB**:**
On the theory of the two-for-one twister.
*Royal Society of London. Proceedings*,
Series A. Mathematical and Physical Sciences,
A 447
(1993),
409–425.

**C1.**
Fraser WB**:**
Air drag and friction in the two-for-one twistor: Results from the theory.
*Journal of the Textile Institute*,
84
(1993),
364–375.

**C1.**
Gray BF, Coppersthwaite DP and Griffiths JF**:**
A novel thermal instability in a semi-batch reactor.
*Process Safety Progress*,
12
(1993),
49–55.

**C1.**
Gray BF and Merkin JH**:**
Thermal explosion: escape times in the uniform temperature approximation.
*Mathematical Engineering Journal*,
4
(1993),
13–26.

**C1.**
Gray BF and Wake GC**:**
Critical initial conditions for thermal ignition.
*Mathematical Computation and Modelling*,
18
(1993),
65–75.
MR1250093

**C1.**
Hillman JA**:**
A remark on branched cyclic covers.
*Journal of Pure and Applied Algebra*,
87
(1993),
237–240.
MR94f:57001

**C1.**
Hillman JA**:**
On 4-manifolds with universal covering space a compact geometric manifold.
*Journal of the Australian Mathematical Society*,
A,
55
(1993),
no.2,
137–148.
MR94i:57031

**C1.**
Hillman JA**:**
On 4-manifolds with universal covering space \(S^2\times \mathbb{R}^2\) or \(S^3\times \mathbb{R}\).
*Topology and its Applications*,
52
(1993),
23–42.
MR95b:57020

**C1.**
Hillman JA**:**
On 3-dimensional Poincaré duality complexes and 2-knot groups.
*Mathematical Proceedings of the Cambridge Philosophical Society*,
114
(1993),
215–218.
MR94h:57037

**C1.**
Huang X, Karihaloo BL and Fraser WB**:**
Contribution of first-order moduli differences to dilatant transformation toughening.
*International Journal of Solids and Structures*,
30
(1993),
no.2,
151–160.

**C1.**
Hutchinson TP**:**
On macroscopic description of urban traffic speeds.
*Journal of the Operational Research Society*,
44
(1993),
209–210.

**C1.**
Hutchinson TP**:**
A guide to bivariate ideas of quantal response analysis, as applied in biometrics and economics.
*Biometrical Journal*,
35
(1993),
99–108.

**C1.**
Hutchinson TP**:**
The seventh-root formula for a trivariate normal probability.
*The American Statistician*,
47
(1993),
102–103.

**C1.**
Hutchinson TP**:**
Kappa muddles together two sources of disagreement: Tetrachoric correlation is preferable.
*Research in Nursing and Health*,
16
(1993),
313–316.

**C1.**
Hutchinson TP**:**
Second attempts at multiple-choice test items.
*Journal of Statistical Computation and Simulation*,
47
(1993),
108–112.

**C1.**
Hutchinson TP**:**
Comments on the multivariate normal integral.
*Journal of Statistical Computation and Simulation*,
47
(1993),
112–114.

**C1.**
Hutchinson TP**:**
Discussion of data on the killing by cold of fruit fly larvae in mangosteens.
*The Kasetsart Journal: Natural Sciences*,
27
(1993),
226–229.

**C1.**
Hutchinson TP and Lai CD**:**
As regards reliability, what is in the Encyclopedia of Statistical Sciences?
*Safety and Reliability*,
13
(1993),
no.1,
13–21.

**C1.**
Jacquet H, Lai KF and Rallis S**:**
A trace formula for symmetric spaces.
*Duke Mathematical Journal*,
70
(1993),
no.2,
305–372.
MR94d:11033

**C1.**
Jones CA and Galloway DJ**:**
Axisymmetric magnetoconvection in a twisted field.
Journal of Fluid Mechanics,
253
(1993),
297–326.
MR94e:76099

**C1.**
Jongmans F and Seneta E**:**
The Bienaymé family history from archival materials and background to the turning points test.
*Bulletin de la Société Royale des Sciences de Liège*,
62
(1993),
121–145.
MR1232279

**C1.**
Kelly GM and Lack S**:**
Finite product-preserving functors, Kan extensions, and strong-finitary 2-monads.
*Applied Categorical Structures*,
1
(1993),
85–94.
MR94k:18009

**C1.**
Kelly GM, Lack S and Walters RFC**:**
Coinverters and categories of fractions for categories with structure.
*Applied Categorical Structures*,
1
(1993),
95–102.
MR94k:18012

**C1.**
Kelly GM and Power AJ**:**
Adjunctions whose counits are coequalizers and presentations of enriched monads.
*Journal of Pure and Applied Algebra*,
89
(1993),
163–179.
MR94k:18008

**C1.**
Khalil W and Walters RFC**:**
An imperative language based on distributive categories II.
*Theoretical Informatics and Applications*,
27
(1993),
503–522.
MR94k:68113

**C1.**
Laflamme R and Matacz A**:**
Decoherence Functional and Inhomogeneities in the Early Universe.
*International Journal of Modern Physics. D*,
2
(1993),
171–182.

**C1.**
Lehrer GI and Rylands LJ**:**
The split building of a reductive group.
*Mathematische Annalen*,
296
(1993),
607–624.
MR94g:20064

**C1.**
Macaskill C and Kachoyan BJ**:**
An iterative approach for the numerical simulation of scattering from one and two-dimensional rough surfaces.
*Applied Optics*,
32
(1993),
no.15,
2839–2847.

**C1.**
Matacz A**:**
The Emergence of Classical Behaviour in the Quantum Fluctuations of a Scalar Field in an Expanding Universe.
*Classical and Quantum Gravity*,
10
(1993),
509–515.
MR93j:83047

**C1.**
Matacz A**:**
Classical Properties of Quantum Fluctuations in the Early Universe.
*Vistas in Astronomy*,
37
(1993),
507–510.

**C1.**
Matacz A, Davies PCW and Ottewill AC**:**
Quantum Vacuum Instability Near Rotating Stars.
*Physical Review. D*,
47
(1993),
1557–1562.
MR94a:83027

**C1.**
Monro GP**:**
Logic, Sheaves and Factorization Systems.
*Journal of Symbolic Logic*,
58
(1993),
no.3,
872–893.
MR94k:03082

**C1.**
Morgan MK, Johnston IH, Hallinan JM and Weber NC**:**
Complications of surgery for cerebral arteriovenous malformations of the brain.
*Journal of Neurosurgery*,
78
(1993),
176–182.

**C1.**
Myerscough MR**:**
A simple model for temperature regulation in honeybee swarms.
*Journal of Theoretical Biology*,
162
(1993),
381–393.

**C1.**
Parusiński A**:**
Constructability of the set of points where a complex analytic morphism is open.
*Proceedings of the American Mathematical Society*,
117
(1993),
205–211.
MR93c:32012

**C1.**
Parusiński A**:**
Limits of tangent spaces to the fibres and the \(w_f\) condition.
*Duke Mathematical Journal*,
72
(1993),
99–108.
MR94i:32059

**C1.**
Paunescu L**:**
A weighted version of the Kuiper-Kuo-Bochnak-Lojasiewicz theorem.
*Journal of Algebraic Geometry*,
2
(1993),
no.1,
69–79.
MR93i:58020

**C1.**
Peiris MS and Court JR**:**
A note on the estimation of the degree of differencing in long memory time series.
*Journal of Probability and Mathematical Statistics*,
14
(1993),
no.2,
223–229.
MR96b:62145

**C1.**
Phan D**:**
A G2II algebraically general twistfree vacuum spacetime.
*General Relativity and Gravitation*,
25
(1993),
1009–1018.
MR94f:83011

**C1.**
Quine MP**:**
On three characterizations of the normal distribution.
*Probability and Mathematical Statistics*,
14
(1993),
no.2,
257–263.
MR96b:62019

**C1.**
Quine MP and Quine S**:**
Estimation of infant mortality rates categorised by social class for an Australian population.
*Applied Statistics*,
42
(1993),
no.2,
333–338.
(Royal Statistical Society)

**C1.**
Seneta E**:**
Ergodicity for products of infinite stochastic matrices.
*Journal of Theoretical Probability*,
(1993),
345–352.
MR94a:60100

**C1.**
Seneta E**:**
Sensitivity of finite Markov chains under perturbation.
*Statistics and Probability Letters*,
17
(1993),
163–168.
MR94k:65197

**C1.**
Seneta E**:**
Lewis Carroll's "Pillow Problems": On the 1993 centenary.
*Statistical Science*,
8
(1993),
180–186.
MR94g:60005

**C1.**
Seneta E**:**
Explicit forms for ergodicity coefficients of stochastic matrices.
*Linear Algebra and its Applications*,
191
(1993),
245–252.
MR94i:15019

**C1.**
Sisson RA, Swift A, Wake GC and Gray BF**:**
The self heating of damp cellulosic materials: II. On the steady states of the spatially distributed case.
*IMA Journal of Applied Mathematics*,
50
(1993),
285–306.
MR94i:80003

**C1.**
Snodgrass HB and Wilson PR**:**
Real and Virtual Unipolar Regions.
*Solar Physics*,
148
(1993),
179–194.

**C1.**
Sun SH**:**
On biregular rings and their duality.
*Journal of Pure and Applied Algebra*,
89
(1993),
no.329–337,
8.
MR2184865

**C1.**
van de Ven RJ**:**
Estimating the shape parameter of the negative binomial distribution.
*Journal of Statistical Computation and Simulation*,
46
(1993),
111–123.

**C1.**
van de Ven RJ and Weber NC**:**
Bounds for the median of the negative binomial distribution.
*Metrika*,
40
(1993),
185–189.
MR94g:60037

**C1.**
Wall GE**:**
Multilinear Lie relators for varieties of groups.
*Journal of Algebra*,
157
(1993),
341–393.
MR94f:20054

**C1.**
Wall GE**:**
A note on multiplicity-free tensor representations.
*Journal of Pure and Applied Algebra*,
88
(1993),
249–263.
MR94g:20020

**C1.**
Zheligovsky VA**:**
A kinematic magnetic dynamo sustained by a Beltrami flow in a sphere.
*Geophysical and Astrophysical Fluid Dynamics*,
73
(1993),
217–254.

**C1.**
Zheligovsky VA**:**
Numerical solution of the kinematic dynamo problem for Beltrami flows in a sphere.
*Journal of Scientific Computing*,
8
(1993),
no.1,
41–68.
MR94e:76102

## Encyclopaedia Entries

**D.**
Winch DE**:**
Keith Edward Bullen,
*Australian Dictionary of Biography.*
1993

## Reviews

**D.**
Dancer EN**:**
Review of "Dynamics and Bifurcations" by J. Hale and H. Kocak.
*Australian Mathematical Society Gazette*,
19
(1993),
no.6,
158–159.

**D.**
Galloway DJ**:**
Review of "Physics of Magnetic Flux Ropes, eds C.T. Russell, E.R. Priest, and L.C. Lee".
*Geophysical and Astrophysical Fluid Dynamics*,
68
(1993),
263–264.
(this is Geophysical Monographs 58, published by the American Geophysical Union, 1990)

**D.**
Newman MF and Wall GE**:**
Review of "Around Burnside" (Kostrikin) and "The Restricted Burnside Problem" (Vaughn-Lee).
*Bulletin of the American Mathematical Society*,
28
(1993),
157–161.
MR1568011

## Conference Proceedings

**E1.**
Fraser WB
(1993)
The dynamics of ballooning yarns in ring spinning and two-for-one twisting.
*Polish Conference on Textile and Crane Machines*,
*Proceedings of the IVth Polish Conference on Textile and Crane Machines*,
Bielsko-Biala,
61–78.

**E1.**
Galloway DJ and O'Brian NR
(1993)
Numerical calculations of dynamos for ABC and related flows.
*Solar and Planetary Dynamos*,
MRE Proctor, PC Matthews and AM Rucklidge eds (ed.) ,
Publications of the Newton Institute,
Cambridge University Press,
105–113.

**E1.**
Gray BF, Griffiths JF and Foulds GA
(1993)
Relevance of combustion theory to the homogeneous partial oxidation of methane.
*Proceedings of the 3rd International Symposium on Natural Gas Upgrading, Sydney*,
Elsevier

**E1.**
Jones CA and Galloway DJ
(1993)
Alpha-quenching in cylindrical magnetoconvection.
*Solar and Planetary Dynamos*,
Proctor MRE, Matthews PC, Rucklidge AM eds (ed.) ,
Publications of the Newton Institute,
Cambridge University Press,
161–170.

**E1.**
Lin F and Winch DE
(1993)
Analysis of POGS Satellite Magnetic Data.
*Third Australian Geomagnetism Workshop*,
*Exploration Geophysics*,
**24**(2),
4.
(Reprints not yet available (for page numbers))

**E1.**
Monro GP
(1993)
Synthesis from attractors.
*International Computer Music Conference 1993, Tokyo*,
T. Taguti et al eds (ed.) ,
International Computer Music Association,
390–392.
(Additional abstract in Japanese)

**E1.**
Parusiński A
(1993)
Lipschitz stratification.
*A Symposium in Honor of Richard Palais' Sixtieth Birthday*,
*Global Analysis in Modern Mathematics*,
Karen Uhlenbeck (ed.) ,
Publish or Perish,
73–91.

**E1.**
Sabadini N, Vigna S and Walters RFC
(1993)
A notion of refinement for automata.
*Algebraic Methodology and Software Technology 1993*,
Nivat M, Rattray C, Rus T, Scollo G eds (ed.) ,
Workshops in computing,
Springer Verlag,
327–334.

**E1.**
Seneta E
(1993)
Probability inequalities and Dunnett's test.
*Multiple Comparisons, Selections, and Applications in Biometry. A Festschrift in Honor of Charles W. Dunnett*,
Hoppe FM (ed.) ,
Marcel Dekker Inc., New York,
29–45.
(Presented at a Symposium in Honour of Charles W. Dunnett. McMaster University, Hamilton, Ontario, Canada. 29 May–1 June 1991)
MR1240996

**E1.**
Seneta E
(1993)
Applications of ergodicity coefficients to homogeneous Markov chains.
*The Doeblin Conference*,
Contemporary Mathematics,
American Mathematical Society,
**149**,
189–199.
MR1229964

**E1.**
Wilson PR
(1993)
Forward Calculations of Libbrecht's Frequency Splitting Coefficients.
*Gong 1992: Seismic Investigation of the Sun and Stars*,
Brown TM (ed.) ,
Astronomical Society of the Pacific, San Francisco, California,
209–212.

**E1.**
Winch DE
(1993)
Solar and Lunar Daily Geomagnetic Variations.
*Third Australian Geomagnetism Workshop*,
*Exploration Geophysics*,
**24**(2),
4.
(Reprints not available (for page numbers))

**E1.**
Winch DE and Runcorn SK
(1993)
Geomagnetic Observatory Data and Ocean Circulation.
*Third Australian Geomagnetism Workshop*,
*Exploration Geophysics*,
**24**(2),
5.
(Reprints not yet available (for page numbers)r)

**E2.**
Thorne CP and Quine MP
(1993)
How reliable are reliability estimates and why soil engineers rarely use them.
*Probabilistic methods in Geotechnical engineering*,
Li KS, Lo CR (ed.) ,
Balkema/Rotterdam/Brookfield,
339–349.

**E3.**
Bennett MR, Gibson WG and Robinson J
(1993)
An autoassociative memory model for the CA3 region of the hippocampus.
*Australian Conference on Neural Networks, Melbourne, February 1993*,
*Proceedings of the Fourth Australian Conference on Neural Networks*,
1–4.

**E3.**
Fu AMN and Gibson WG
(1993)
Statistical analysis of a parallel dynamics autoassociative memory network.
*Australian Conference on Neural Networks, Melbourne, February 1993*,
Proceedings of the Fourth Australian Conference on Neural Networks,
90–93.

**E3.**
Goulter SW and Winch DE
(1993)
Hough Function Analysis of magnetic and meteorological data.
*7th Scientific Assembly IAGA*,
*Buenos Aires Argentina*,
IAGA Local Organizing Committee (ed.) ,
IAGA,
**55**(Part B),
396.

**E3.**
Kuznetsov V, Palshin NA, Repin I, Emnov, Vanyan LL, Chave and Winch DE
(1993)
Submarine Studies of lithospheric resistance in the Pacific.
*7th Scientific Assembly IAGA*,
*Buenos Aires Argentina*,
IAGA Local Organizing Committee (ed.) ,
IAGA Bulletin,
IAGA,
**55**(Part B),
147.

**E3.**
Lin F and Winch DE
(1993)
Analysis of POGS Satellite Magnetic Data.
*Third Australian Geomagnetism Workshop (AGSO)*,
*Australian Geological Survey Organisation*,
Charles Barton (ed.) ,
AGSO,
(1993/19),
7.

**E3.**
Malin SRC, Runcorn SK and Winch DE
(1993)
The One Cycle per year magnetic field variation.
*7th Scientific Assembly Buenos Aires*,
IAGA Local Organizing Committee (ed.) ,
IAGA,
**55**(Part B),
396.

**E3.**
Monro GP
(1993)
Waveform modification by lagged embedding.
*CompMusic '93, Sydney University, 10 July, 1993*,
1.

**E3.**
Palshin NA, Repin I, Semenov V, Vanyan LL and Winch DE
(1993)
MT-Sounding using Australian-New Zealand Submarine Cable.
*7th Scientific Assembly, IAGA, Buenos Aires 1993*,
*IAGA Bulletin*,
IAGA Local Organizing Committee (ed.) ,
**55**(Part B),
147.

**E3.**
Paunescu L
(1993)
Simple equations for some 4-Manifolds.
*Luminy, France*

**E3.**
Poznanski RR, Gibson WG and Bennett MR
(1993)
Quantal secretion from varicosities in a smooth muscle system: analytical solution to the problem of current flow and potential.
*Australian Neuroscience Society Conference, Melbourne, February, 1993*,
Proceedings of the Australian Neuroscience Society,
**4**,
74.

**E3.**
Runcorn SK and Winch DE
(1993)
Geomagnetic Observatory Data and Oceanic Circulation.
*Australian Physical Oceanography Conference*,
*Conference Handbook*,
John Middleton, David Wilkinson, Peter Tate (ed.) ,
1.
(Conference Handbook pages are unnumbered.)

**E3.**
Runcorn SK and Winch DE
(1993)
The Pacific Cable Experiment.
*7th Scientific Assembly IAGA*,
*Buenos Aires Argentina August 1993*,
IAGA Local Organizing Committee (ed.) ,
IAGA,
**55**(Part B),
146.

**E3.**
Sabadini N, Weld H and Walters RFC
(1993)
Distributive automata and asynchronous circuits.
*Category Theory and Computer Science 5*,
28–32.

**E3.**
Winch DE
(1993)
Solar and Lunar Daily Geomagnetic Variations.
*Third Australian Geomagnetism Workshop*,
*Australian Geological Survey Organisation*,
Charles Barton (ed.) ,
AGSO,
(1993/19),
33.

**E3.**
Winch DE
(1993)
Secular Variation in Australia 1770-1990.
*7th Scientific Assembly IAGA*,
*Buenos Aires, Argentina*,
IAGA Local Organizing Committee (ed.) ,
IAGA,
**55**(Part B)

**E3.**
Winch DE and Lin F
(1993)
Spherical Harmonic Analysis of POGS data.
*7th Scientific Assembly IAGA*,
*Buenos Aires Argentina*,
IAGA Local Organizing Committee (ed.) ,
IAGA,
**55**(B)

**E3.**
Winch DE and Runcorn SK
(1993)
Geomagnetic Observatory Data and Ocean Circulation.
*Third Australian Geomagnetism Workshop*,
*Australian Geological Survey Organisation*,
Charles Barton (ed.) ,
AGSO,
(1993/19),
47.

## Computer Software

**G1.**
Cannon JJ and others
(1993)
Computational Algebra.
Magma V1.0; 640,000 lines of C code.
University of Sydney
.

**G1.**
Szabo P
(1993)
Secures file permissions across Apollo networks.
protect_software: UNIX.
(1000 lines of code.)
.

**G1.**
Szabo P
(1993)
Monitor and fault detector for Apollo networks.
net_alive: UNIX.
(11000 lines of code)
.

**G1.**
Wilson M and James RW
(1993)
Collation and Presentation of Statistics of Apollo Network Usage.
Usage: C and UNIX.
(3000 lines of code)
.

**G1.**
Wilson M, James RW and Szabo P
(1993)
System usage manager for large-class tutorials spread over network of laboratories.
tuteman: C and UNIX.
(Monitors and manipulates system usage using class and timetable databases, to avoid overcrowding, allow fair usage and to control untimetabled usage of computer laboratories. 3500 lines of code. Ongoing development.)
.

**G1.**
Wilson M and Macaskill C
(1993)
Completely rewritten and extended version of the Program for Analog Modelling originally produced at the University of Newcastle.
pam: C and UNIX.
(3500 lines of code.)
.

**G1.**
Wilson M, Macaskill C, James RW and Szabo P
(1993)
DIALOG interface to NCAR graphics package plus numerous extensions.
funplot: C and DIALOG.
(Line drawing with zoom, animation and variable inputs covering discrete and function-based input data. 14000 lines of code)
.

**G1.**
Wilson M, Szabo P and James RW
(1993)
Questionnaire presenter and analyser for course surveys.
survey: C and UNIX.
(1100 lines of code)
.

## Other Output

**OT.**
Ball GR, Playoust CE and Richardson JS
(1993)
An Introduction to MATRIX.
ix+124.
(Introductory manual to the linear algebra tutorial program MATRIX)

**OT.**
Cannon JJ
(1993)
Invited lectures.
Effective reduction algorithms for permutation groups.
*Workshop on Group Actions, Australian National University, May-June 1993*

**OT.**
Dancer EN
(1993)
Invited lecture.
Some singularly perturbed problems.
*Analysis Meeting, University of Queensland, September 1993*

**OT.**
Dancer EN
(1993)
Invited seminar.
Partial differential equations and singularities.
*University of New South Wales, September 1993*

**OT.**
Dancer EN
(1993)
Invited seminar.
Some classical partial differential equations with non-classical limits.
*Macquarie University, February 1993*

**OT.**
Dancer EN
(1993)
Invited Principal Lecture.
Domain variation, nonlinear elliptic equations and applications.
*Australian Applied Mathematics Conference, Pokolbin, February 1993*

**OT.**
Hofflin PW
(1993)
Conference talk.
Small amplitude solutions of Model-Z.
*MHD93 Conference, Exeter, UK*,
(Talk given in UK in 1993)

**OT.**
Hofflin PW
(1993)
Seminar presentation.
Weakly non-linear intermediate dynamo models.
*Seminar, University of Newcastle upon Tyne, UK*,
(Talk presented at University of Newcastle upon Tyne, UK, 1993)

**OT.**
Hofflin PW
(1993)
Seminar presentation.
Numerical methods of intermediate dynamo models.
*Seminar, Institute de Physique du Globe de Paris, France*,
(Talk at Université de Paris VI, 1993)

**OT.**
James RW
(1993)
Seminar and Tutorials, 3 hours.
Computer Algebra in Research and Teaching.
20.
(School of Mathematics, University of Newcastle upon Tyne, UK)

**OT.**
James RW
(1993)
Seminar.
Kinematic Dynamos Revisited.
31.
(School of Mathematics, University of Newcastle upon Tyne, UK)

**OT.**
James RW
(1993)
Seminar.
Kinematic Dynamos Revisited.
31.
(Department of Applied Mathematics and Theoretical Physics, University of Cambridge, UK)

**OT.**
James RW
(1993)
Seminar.
Computer Algebra in Research and Teaching.
20.
(Department of Mathematics and Computer Science, Odense University, Denmark)

**OT.**
Seneta E
(1993)
Popular article.
Krawtchouk polynomials and Australian statisticians.
Statistical Society of Australia Newsletter,
**62**,
6–8.

**OT.**
Seneta E
(1993)
Lewis Carroll's Pillow Problems.
*Statistical Society of Australia; 20 April 1993*

**OT.**
Seneta E and Weber NC
(1993)
Workshop.
Time Series Workshop, April 14–16, 1993.

## Creative Works

**OT.**
Monro GP
(1993)
Computer music piece.
Study in Dimension 1.245.
Played on ABC Radio National 10th August 1993,
(This piece is based on two mathematical objects, a fractal curve and a Hadamard code. Length approx 5 mins)

**OT.**
Monro GP
(1993)
Computer music piece.
Dry Choices.
Performed in the WATT concerts, Sydney and Canberra, October 1993,
(Length 5 mins 25 secs)

## Unpublished Conference Proceedings

**UN.**
Bennett MR, Gibson WG and Robinson J
An associative memory model for the CA3 region of the hippocampus.
*11th International Australasian Winter Conference on Brain Function 1993*
.

**UN.**
Durrant CJ
Finding attraction in dynamos.
*29th Australian Applied Mathematics Conference, Adelaide, 1993*
.

**UN.**
Durrant CJ
Solar activity and helioseismology: A report from Sydney University.
*Second South Pacific STEP Workshop, Newcastle 1993*
.

**UN.**
Fraser WB
On the dynamical theory of yarn balloons.
*29th Australian Applied Mathematics Conference, Hahndorf, February 1993*
.

**UN.**
Gibson WG
Modelling the electrical properties of smooth muscle.
*Applied Mathematics Conference, Hahndorf, February 1993*
.

**UN.**
Gibson WG
Modelling the electrical properties of smooth muscle.
*1993 New Zealand Mathematics Colloquium, Christchurch, NZ*
.

**UN.**
James RW
Applications of Computer Algebra to Magnetohydrodynamics.
*MHD93, University of Exeter, UK, May 1993*
.

**UN.**
Kelly GM
On Maltsev and Goursat Categories.
*Peripatetic Seminar on Sheaves and Logic, Valenciennes, France, 13–14 February 1993*
.

**UN.**
Walters RFC
Distributive automata and asynchronous circuits.
*Foundational Methods in Computer Science 1993*
.

**UN.**
Walters RFC
On distributive automata, distributive automata schemes.
*Categories, Combinatorics, and Computer Science 1993*
.