# Research Publications for 1983

## Books

**A3.**
Eyland RW (ed.) and others**:**
*Higher School Certificate Mathematics.*
Mathematical Association of New South Wales, Sydney,
1983.

## Chapters in Books

**B1.**
Dimca A and Gibson CG**:**
On contact germs of the plane,
Proc. Symp. Pure Math.,
**40**,
American Mathematical Society,
1983,
277–282.

**B1.**
Quine MP**:**
A Berry-Esseen bound for scores based on occupancy numbers,
*Probability and Mathematical Statistics: Essays in honour of Carl-Gustav Esseen.*
Uppsala, Sweden,
1983,
140–153.
MR0727134

**B1.**
Ryan AJ**:**
Special functions and relations in complex Clifford analysis,
*Complex Variables: Theory and Application.*
**2**,
1983,
177–198.

## Journal Articles

**C1.**
Anzer U and Galloway DJ**:**
A model for the magnetic field above supergranules.
*Monthly Notices of the Royal Astronomical Society*,
203
(1983),
637–650.

**C1.**
Betti R, Carboni A, Street RH and Walters RFC**:**
Variation through enrichment.
*Journal of Pure and Applied Algebra*,
29
(1983),
109–127.
MR85e:18005

**C1.**
Bosma W, Jager H and Wiedijk F**:**
Some metrical observations on the approximation by continued fractions.
*Indagationes Mathematicae*,
45
(1983),
281–299.
MR85f:11059

**C1.**
Buckley MJ and Seneta E**:**
On Arnold's treatment of Moran's bounds.
*Advances in Applied Probability*,
15
(1983),
212–213.
MR84c:92028

**C1.**
Buckley MJ and Seneta E**:**
The genetic balance between varying population size and selective neutrality.
*Journal of Mathematical Biology*,
17
(1983),
217–222.

**C1.**
Cartwright DI**:**
\(L_p\)-norms of characters on the exceptional compact Lie groups.
*Unione Matematica Italiana. Bollettino. A*,
Serie VI,
2
(1983),
339–351.
MR84i:22014

**C1.**
Cartwright DI**:**
Lebesgue constants for Jacobi series.
*Proceedings of the American Mathematical Society*,
87
(1983),
427–433.
MR84b:42019

**C1.**
Cartwright DI and Soardi PM**:**
Best conditions for the norm convergence of Fourier series.
*Journal of Approximation Theory*,
38
(1983),
344–353.
MR85a:42017

**C1.**
Choo KG, Teo KL and Wu ZS**:**
On an optimal control problem involving second order hyperbolic systems with boundary controls.
*Bulletin of the Australian Mathematical Society*,
27
(1983),
139–148.
MR84g:49006

**C1.**
Dancer EN**:**
On the indices of fixed points in cones and applications.
*Journal of Mathematical Analysis*,
91
(1983),
131–151.
MR84d:58020

**C1.**
Dancer EN**:**
On the existence of zeros of perturbed operators.
*Nonlinear Analysis. Theory, Methods and Applications*,
9
(1983),
717–727.
MR0707080

**C1.**
Dancer EN**:**
Non-uniqueness for nonlinear boundary-value problems.
*Rocky Mountain Journal of Mathematics*,
13
(1983),
401–412.
MR85h:58031

**C1.**
Dancer EN**:**
Breaking of symmetries for forced equations.
*Mathematische Annalen*,
262
(1983),
473–486.
MR85g:58026

**C1.**
Dancer EN, Nussbaum R and Stuart C**:**
Quasinormal cones in Banach spaces.
*Nonlinear Analysis. Theory, Methods and Applications*,
7
(1983),
539–553.
MR0698364

**C1.**
Dimca A**:**
Tangencies of generic real projective hypersurfaces.
*Mathematica Scandinavica*,
53
(1983),
216–220.
MR85m:58028

**C1.**
Dimca A**:**
A geometric approach to the classification of pencils of quadrics.
*Geometriæ Dedicata*,
14
(1983),
105–111.
MR0708627

**C1.**
Dimca A**:**
Germes des fonctiones definis sur des singularités isolées d'hypersurfaces.
*Comptes Rendus de l'Académie des Sciences*,
Série I. Mathématique,
297
(1983),
117–120.
MR84j:32013

**C1.**
Dimca A and Gibson CG**:**
Contact unimodular germs from the plane to the plane.
*The Quarterly Journal of Mathematics. Oxford*,
Second Series,
34
(1983),
281–295.
MR85e:58021a

**C1.**
Dimca A and Gibson CG**:**
On the unfolding of the first contact unimodular family of plane to plane map germs.
*The Quarterly Journal of Mathematics. Oxford*,
Second Series,
34
(1983),
297–304.
MR85e:58021b

**C1.**
Dubuc EJ and Kelly GM**:**
A presentation of topoi as algebraic relative to categories or graphs.
*Journal of Algebra*,
81
(1983),
420–433.
MR85c:18009

**C1.**
Durrant CJ, Mattig W, Nesis A and Schmidt W**:**
Balloon-borne imagery of the solar granulation IV. The centre-to-limb variation of the intensity fluctuations.
*Astronomy and Astrophysics*,
123
(1983),
319–325.

**C1.**
Ewart TE, Macaskill C and Uscinski BJ**:**
Intensity fluctuations, part 2: Comparison with the Cobb-seamount acoustics experiment.
*Journal of the Acoustical Society of America*,
74
(1983),
1484–1499.

**C1.**
Field MJ**:**
Isotopy and stability of equivariant diffeomorphisms.
*Proceedings of the London Mathematical Society*,
Third Series,
46
(1983),
487–516.
MR84m:58128

**C1.**
Field MJ**:**
Equivariant diffeomorphisms hyperbolic transverse to a \(G\)-action.
*Journal of the London Mathematical Society*,
27
(1983),
563–576.
MR85h:58094

**C1.**
Fraser WB**:**
An introduction to stochastic differential equations.
*International Journal of Mathematics Education, Science and Technology*,
14
(1983),
181–188.

**C1.**
Galloway DJ and Proctor MRE**:**
The kinematics of hexagonal magnetoconvection.
*Geophysical and Astrophysical Fluid Dynamics*,
24
(1983),
109–136.

**C1.**
Gibson WG**:**
Low-temperature expansions for the second and third cluster integrals of a two-dimensional quantum system of hard discs.
*Molecular Physics*,
49
(1983),
103–128.

**C1.**
Goulter SW**:**
Persistent Mean Air Temperatures in the South Pacific.
*New Zealand Journal of Science*,
27
(1983),
no.3,
221–236.

**C1.**
Havas G and Richardson JS**:**
Groups of exponent five and class four.
*Communications in Algebra*,
11
(1983),
287–304.
MR84f:20035

**C1.**
Hillman JA**:**
Aspherical four manifolds and the centres of two-knot groups.
*Commentarii Mathematici Helvetici*,
58
(1983),
166.
(Corrigendum)
MR84d:57011

**C1.**
Hillman JA**:**
On the Alexander polynomial of a cyclically periodic knot.
*Proceedings of the American Mathematical Society*,
89
(1983),
155–156.
MR85b:57005

**C1.**
Howlett RB and Lehrer GI**:**
Representations of generic algebras and finite groups of Lie type.
*Transactions of the American Mathematical Society*,
280
(1983),
753–779.
MR85i:20044

**C1.**
Hutchinson TP**:**
A bivariate normal model for intra-accident correlations of driver injury, with application to the effect of mass ratio.
*Accident Analysis and Prevention*,
15
(1983),
215–224.

**C1.**
Hutchinson TP**:**
A note on applications of the competing risks model.
*Accident Analysis and Prevention*,
15
(1983),
225–226.

**C1.**
Hutchinson TP, Allen AM, Gornell AW and Liew VK**:**
Judging the centres of irregular shapes: How much variability is there?
*Ergonomics*,
26
(1983),
981–984.

**C1.**
Hutchinson TP and Nicholl JP**:**
Recommendations about collecting bus headway data and estimating expected waiting times.
*Traffic Engineering and Control*,
24
(1983),
529–531.

**C1.**
Jacquet H and Lai KF**:**
Sur une formule des traces relatives.
*Comptes Rendus de l'Académie des Sciences*,
Série I. Mathématique,
296
(1983),
959–963.
MR86k:11029

**C1.**
John RD and Robinson J**:**
Edgeworth expansions for the power of permutation tests.
*The Annals of Statistics*,
11
(1983),
625–631.
MR85c:62042

**C1.**
John RD and Robinson J**:**
Significance levels and confidence intervals for permutation tests.
*Journal of Statistical Planning and Inference*,
16
(1983),
161–173.

**C1.**
Kaisig M and Durrant CJ**:**
The analysis of solar limb observations III. Geometrical effects in weighting functions.
*Astronomy and Astrophysics*,
130
(1983),
171–174.

**C1.**
Kasangian S, Kelly GM and Rossi F**:**
Cofibrations and the realization of non-deterministic automata.
*Cahiers de Topologie et Géométrie Différentielle Catégoriques*,
24
(1983),
23–46.
MR85a:18005

**C1.**
Kelly GM**:**
A note on the generalized reflexion of Guitart and Lair.
*Cahiers de Topologie et Géométrie Différentielle Catégoriques*,
24
(1983),
155–159.
MR85d:18004

**C1.**
Kokic PN and Weber NC**:**
On the asymptotic behaviour of the jackknife for stochastic processes.
*Bulletin of the Australian Mathematical Society*,
27
(1983),
329–337.
MR85d:62022

**C1.**
Kuo TC**:**
Equivalence of Isolated Complex Singularities.
*Bulletin of the Institute of Mathematics. Academia Sinica*,
11
(1983),
415–432.
MR85m:32009

**C1.**
Lehrer GI**:**
The spherical building and regular semisimple elements.
*Bulletin of the Australian Mathematical Society*,
27
(1983),
361–379.
MR85h:20049

**C1.**
Macaskill C**:**
An improved solution to the fourth moment equation for intensity fluctuations.
*Royal Society of London. Proceedings*,
Series A. Mathematical and Physical Sciences,
386
(1983),
461–474.

**C1.**
Macaskill C and Uscinski BJ**:**
Intensity fluctuations due to a deeply modulated phase screen, part 2: results.
*Journal of Atmospheric and Terrestrial Physics*,
45
(1983),
607–615.

**C1.**
Meszaros P, Harding AK, Kirk JG and Galloway DJ**:**
Accreting pulsar magnetospheres heated by Coulomb deceleration of protons.
*Astrophysical Journal*,
266
(1983),
L33–L37.

**C1.**
Monro GP**:**
On generic extensions without the axiom of choice.
*The Journal of Symbolic Logic*,
48
(1983),
39–52.
MR84d:03061

**C1.**
Robinson J**:**
Approximation to some test statistics for permutation tests in a completely randomized design.
*The Australian Journal of Statistics*,
26
(1983),
358–369.
MR86a:62102

**C1.**
Ryan AJ**:**
Singularities and Laurent expansions in complex Clifford analysis.
*Applicable Analysis*,
16
(1983),
33–49.
MR85a:32005

**C1.**
Seneta E**:**
Iterative Aggregation: convergence rate.
*Economics Letters*,
14
(1983),
357–361.

**C1.**
Seneta E**:**
The weighted median and multiple regression.
*The Australian Journal of Statistics*,
25
(1983),
370–377.
(Festschrift issue in honour of E. J. Williams)
MR85e:62135

**C1.**
Seneta E**:**
Modern probabilistic concepts in the work of E. Abbe and A. De Moivre.
*Mathematical Scientist*,
8
(1983),
75–80.
MR86b:60004

**C1.**
Seneta E and Steiger WL**:**
A new LAD curve-fitting algorithm: slightly overdetermined equation systems in \(L_1\).
*Discrete Applied Mathematics*,
7
(1983),
79–91.

**C1.**
Seneta E and Tavare S**:**
Note on models using the branching process with immigration stopped at zero.
*Journal of Applied Probability*,
20
(1983),
11–18.
MR84e:60123

**C1.**
Seneta E and Tavare S**:**
Some stochastic models for plasmid copy number.
*Theoretical Population Biology*,
23
(1983),
241–256.
MR84j:92041

**C1.**
Suffern KG, Fackerell ED and Cosgrove CM**:**
Eigenvalues of the Chandrasekhar-Page angular functions.
*Journal of Mathematical Physics*,
24
(1983),
1350–1358.
MR85b:83038

**C1.**
Szabo P and Paul GL**:**
Sum Rule for Lattice Vibrations; Breakdown of the Rule for Polarizable Atoms.
*Physical Review. A*,
B 28
(1983),
7349–7350.

**C1.**
Uscinski BJ and Macaskill C**:**
Intensity fluctuations due to a deeply modulated phase screen, part I: theory.
*Journal of Atmospheric and Terrestrial Physics*,
45
(1983),
596–606.

**C1.**
Uscinski BJ, Macaskill C and Ewart TE**:**
Intensity fluctuations, part 1: theory.
*Journal of the Acoustical Society of America*,
74
(1983),
1474–1483.

**C1.**
Viera F and Buchwald VT**:**
The generation of surface waves by an intense cyclone.
*Journal of the Australian Mathematical Society*,
(Series B),
25
(1983),
64.
MR84g:76017

**C1.**
Ward JN**:**
The Newton-Raphson Process.
*Reflections*,
8
(1983),
8–10.

**C1.**
Weber NC**:**
Central limit theorems for a class of symmetric statistics.
*Mathematical Proceedings of the Cambridge Philosophical Society*,
94
(1983),
307–313.
MR85d:60056

**C1.**
Weber NC and Welsh AH**:**
Jackknifing the general linear model.
*The Australian Journal of Statistics*,
25
(1983),
425–436.
MR85m:62156

**C1.**
Wehrhahn KH**:**
On the Necessity for Randomization in Experimental Design.
*Rep. Statist. Appl. Res. Un. Japan Sci. Engrs*,
30
(1983),
26–36.
MR85c:62206

## Encyclopaedia Entries

**D.**
Seneta E**:**
Galton-Watson Process,
*Encyclopedia of Statistical Sciences.*
Kotz S, Johnson NL eds (ed.),
**3**,
J. Wiley and Sons, New York,
1983,
276–277.

**D.**
Seneta E**:**
Liapunov, Alexander Mikhailovich,
*Encyclopedia of Statistical Sciences.*
Kotz S, Johnson NL eds (ed.),
**4**,
J. Wiley and Sons, New York,
1983,
625–627.

## Conference Proceedings

**E1.**
Anzer U and Galloway DJ
(1983)
The magnetic field configuration in solar and stellar chromospheres.
*Solar and Stellar Magnetic Fields: Origin and Coronal Effects*,
Stenflo JO (ed.) ,
Reidel,
339–344.
(Proceedings of IAU Symposium 102)

**E1.**
Dancer EN
(1983)
Bifurcation under continuous groups of symmetries.
*Proceedings of the NATO conference, Systems on nonlinear partial differential equations*,
Reidel,
343–350.
MR0725531

**E1.**
Galloway DJ and Proctor MRE
(1983)
Magnetic flux expulsion in hexagons.
*Stellar and Planetary Magnetism (Proceedings, Budapest 1980)*,
Soward AM (ed.) ,
Gordon and Breach,
99–111.

**E1.**
Hutchinson TP and Roe MS
(1983)
Latent structure modelling of trip distribution.
*53rd Annual Meeting of the Institute of Transportation Engineers*,
*Compendium of Technical Papers*,
Institute of Transportation Engineers, Washington, D.C.,
**11**,
22–24.

**E1.**
Rees DE and Saliba GJ
(1983)
Solar Ca II K Resonance Line Polarization.
*Proceedings of the Astronomical Society of Australia*,
**5**,
186–188.