# Research Publications for 1989

## Books

A1. Hillman JA: 2-knots and their Groups. Australian Mathematical Society Lecture Series, 5 Cambridge University Press, 1989. MR90d:57025

A2. Walters RFC and Wehrhahn KH: Calculus I. Second Edition, revised and extended, Carslaw Publications, 1989.

## Chapters in Books

B1. Salganik M, Groshev M, Mostinsky A, Zheligovsky VA, Stepanova N and Shteinberg V: Modeling of accelerograms, expected for the maximal assumed earthquake: comparison of methods, Study of seismic oscillations, grounds and constructions. Seismological studies, 11, Geophysical Committee of Presidium of the USSR Academy of Science, Moscow, 1989, 122–127.

B1. Zheligovsky VA: On magnetic field generation by a class of flows of conducting fluid in a sphere, Theory and algorithms of geophysical data interpretation. Computational Seismology, 22, Nauka, Moscow, 1989, 92–108.

## Journal Articles

C1. Barratt C, Fackerell ED and Rosenfeld D: The application of spinors to solving the Bloch equations. Journal of Magnetic Resonance, 85 (1989), 35–41.

C1. Betti R and Walters RFC: The calculus of ends over a base topos. Journal of Pure and Applied Algebra, 56 (1989), 211–220. MR90f:18008

C1. Bird G, Kelly GM, Power AJ and Street RH: Flexible limits for 2-categories. Journal of Pure and Applied Algebra, 61 (1989), 1–27. MR91a:18009

C1. Blackwell R, Kelly GM and Power AJ: Two-dimensional monad theory. Journal of Pure and Applied Algebra, 59 (1989), 1–41. MR91a:18010

C1. Bunton JD, Large MI, Slee OB, Stewart RT and Thatcher JD: Radio and optical observation of an intense flare on HD 32918. Proceedings of the Astronomical Society of Australia, 8 (1989), 127–131.

C1. Butler G and Cannon JJ: Computing in permutation and matrix groups III : Sylow subgroups. Journal of Symbolic Computation, 8 (1989), 241–252. MR90i:20003

C1. Cartwright DI: On the asymptotic behaviour of convolution powers of probabilities on discrete groups. Monatshefte für Mathematik, 107 (1989), 287–290. MR91a:60024

C1. Cartwright DI and Soardi PM: Convergence to ends for random walks on the automorphism group of a tree. Proceedings of the American Mathematical Society, 107 (1989), 817–823. MR90f:60137

C1. Chen KH and Robinson J: Comparison of factor spaces of two related populations. Journal of Multivariate Analysis, 28 (1989), 190–203. MR90g:62128

C1. Cheung AT, Buchen PW, Macaskill C and Robinson DE: Backscatter spectrum of a randomly perturbed regular array of discrete scatterers. Journal of the Acoustical Society of America, 86 (1989), no.1, 407–413.

C1. Dancer EN: A counterexample to the Lazer-McKenna conjecture. Nonlinear Analysis. Theory, Methods and Applications, 13 (1989), 19–21. MR0973364

C1. Dancer EN: Degenerate critical points, Morse inequalities and homotopy indices III. Bulletin of the Australian Mathematical Society, 40 (1989), 97–108. MR91i:58025

C1. Dancer EN: On the influence of domain shape on the existence of large solutions of some superlinear problems. Mathematische Annalen, 285 (1989), 647–669. MR91h:35122

C1. Dancer EN and Sweers G: On the existence of a maximal weak solution for a semilinear elliptic equation. Differential and Integral Equations, 2 (1989), 533–540. MR90h:35049

C1. Dudley ML and James RW: Time-dependent kinematic dynamos with stationary flows. Royal Society of London. Proceedings, Series A. Mathematical and Physical Sciences, 425 (1989), 407–429. MR90i:76151

C1. Dudley ML and James RW: Computer-aided derivation of spherical harmonic spectral equations in astrogeophysics. Physics Earth Planet International, 8 (1989), 423–427. MR1021614

C1. Durrant CJ: Linear force-free magnetic fields and coronal models. Australian Journal of Physics, 42 (1989), 317–329.

C1. Durrant CJ and Brown SF: Coronal loops in solar active regions. Proceedings of the Astronomical Society of Australia, 8 (1989), 137–141.

C1. Easdown D: The local semilattice of chains of idempotents. Semigroup Forum, (1989)

C1. Field MJ: Equivariant Bifurcation Theory and Symmetry Breaking. Journal of Dynamics and Differential Equations, 1 (1989), no.4, 369–421. MR90j:58109

C1. Field MJ and Richardson RW: Symmetry breaking and the Maximal Isotropy Subgroup conjecture for reflection groups. Archive for Rational Mechanics and Analysis, 105 (1989), 61–94. MR89m:58153

C1. Glasby SP: The composition and derived lengths of a soluble group. Journal of Algebra, 120 (1989), 406–413. MR90j:20075

C1. Glasser ML and Cosgrove CM: Mallow's integral and some generalizations. Journal of Mathematical Analysis and Applications, 139 (1989), 533–536. MR90h:33002

C1. Glasser ML and Cosgrove CM: A Gaussian-geometric finite sum formula. Journal of Mathematical Analysis and Applications, 142 (1989), 331–336. MR90h:11074

C1. Hillman JA: The algebraic characterization of the exteriors of certain two-knots. Inventiones Mathematicae, 97 (1989), 195–207. MR90d:57026

C1. Hillman JA: A homotopy fibration theorem in dimension 4. Topology and its Applications, 33 (1989), 151–161. MR90k:57023

C1. Hillman JA and Kearton C: Stable isometry structures and the factorization of $$\mathbb{Q}$$-acyclic stable knots. Journal of the London Mathematical Society, 39 (1989), 175–182. MR90h:57026

C1. Hillman JA and Wilson SMJ: On the reflexivity of Cappell Shaneson 2-knots. The Bulletin of the London Mathematical Society, 21 (1989), 591–593. MR90k:57028

C1. Ivers DJ: On generalised toroidal-poloidal solutions of vector field equations. Journal of the Australian Mathematical Society, (Series B), 30 (1989), 436–449. MR90e:86016

C1. Karlov L: Paul Kard and Lorentz-free special relativity. Phys. Educ., 24 (1989), 165–168.

C1. Kelly GM: Elementary observations on 2-categorical limits. Bulletin of the Australian Mathematical Society, 39 (1989), 301–317. MR90f:18004

C1. Kelly GM and Lawvere FW: On the complete lattice of essential localizations. Bulletin de la Société Mathématique de Belgique, Série A, 41 (1989), 289–319. MR91c:18001

C1. Kennedy JE and Quine MP: The total variation distance between the binomial and Poisson distribution. The Annals of Probability, 17 (1989), 396–400. MR90i:60020

C1. Kuo TC: Generalized Newton-Puiseux Theory and Hensel's Lemma in $$\mathbb{C}[[x,y]]$$. Canadian Journal of Mathematics, (1989), 1101–1116. MR91d:14010

C1. Kuo TC, Li PX and Trotman DJA: Blowing up and Whitney ($$a$$)-regularity conditions. Canadian Mathematical Bulletin, 32 (1989), 482–485. MR91b:58008

C1. Luckock HC: Quantum Geometry of Strings with Boundaries. Annals of Physics, 194 (1989), 113–147. MR90h:81173

C1. Luckock HC and Moss IG: The Quantum Geometry of Random Surfaces and Spinning Membranes. Classical and Quantum Gravity, 6 (1989), 1993–2027. MR91f:81154

C1. Madan DB and Seneta E: Chebyshev polynomial approximations for characteristic function estimation: some theoretical supplements. Journal of the Royal Statistical Society, Series B. Methodological, 51 (1989), 281–285. MR91a:60048

C1. Mills TM and Seneta E: Goodness-of-fit for a branching process with immigration using sample partial autocorrelations. Stochastic Processes and their Applications, 33 (1989), 151–161. MR91j:62133

C1. Myerscough MR and Swan MA: A model for swimming unipolar spirilla. Journal of Theoretical Biology, 139 (1989), 201–218.

C1. Peiris MS and Singh N: Optimal experimental design for linear time series models with stochastic coefficients. Journal of the Indian Society for Statistics and Operations Research, 10 (1989), 1–4. MR1201934

C1. Robinson J: Limit theorems for standardized partial sums of weakly exchangeable arrays. The Australian Journal of Statistics, 31 (1989), 200–214. MR91e:60081

C1. Rylands LJ and Taylor DE: Rubik's Clock. Australian Mathematical Society Gazette, 16 (1989), 3–6. MR0992513

C1. Sun SH: Another approach to extensions of continuous mappings. Bulletin of the Australian Mathematical Society, 39 (1989), 1–9. MR90a:54040

C1. Sun SH: On paracompact locales and metric locales. Commentationes Mathematicæ Universitatis Carolinæ, 30 (1989), 101–107. MR0995708

C1. Thompson RS and Stevens RJ: A mathematical model for interpretation of Doppler velocity waveform indices. Med. & Biol. Eng. & Comput., 27 (1989), 269–276.

C1. Walters RFC: Datatypes in distributive categories. Bulletin of the Australian Mathematical Society, 40 (1989), 79–82. MR90j:68030

C1. Walters RFC: A note on context-free languages. Journal of Pure and Applied Algebra, 62 (1989), 199–203. MR91e:68094

C1. Walters RFC: The free category with products on a multigraph. Journal of Pure and Applied Algebra, 62 (1989), 205–210. MR91a:18003

C1. Weber NC: Applying elementary probability to some statistical problems. Reflections, 14 (1989), 79–82.

C1. Wilson PR: The solar dynamo and convective rolls. Solar Physics, 117 (1989), 212. MR0525022

C1. Wilson PR: The buoyancy of $$U$$-loops. Proceedings of the Astronomical Society of Australia, 8 (1989), 32–37.

C1. Winch DE: Induction in a model ocean. Physics Earth Planet International, 53 (1989), 328–336.

C1. Winch DE: Lunar geomagnetic variations. Pure and Applied Geophysics, 131 (1989), 292–309.

C1. Winch DE: The earth's magnetic field. Journal of the Royal Society of London. Proceedings of New South Wales, 122 (1989), 1–9.

C4. Trudinger BJ, Cook CM, Giles WB, Connelly AJ and Thompson RS: Low dose aspirin and twin pregnancy. Lancet, ii (1989), 1214.

## Conference Proceedings

E1. Easdown D (1989) Biordered sets : a tool for constructing semigroups. Monoids, Semigroup Theory and Applications, Proceedings to the Berkeley Workshop on Monoids, World Scientific Publishing Company

E1. Easdown D (1989) Minimal faithful permutation and transformation representations of groups and semigroups. Proceedings of the International Conference on Algebra in Honour of A.I. Malcev

E1. Fackerell ED and Kersten PHM (1989) Vacuum Einstein fields with a single non-null Killing vector. Proceedings of the fifth Marcel Grossman Meeting on General Relativity, Blair DG, Buckingham MJ (ed.) , World Scientific, 515–519. MR1056911

E1. Mack JM (1989) What are the purposes of a mathematical education? MANSW Annual Conference, Mudgee, *Kumar M, et al. eds (ed.) , Reflections, MANSW, Sydney, 14(4), 9–13. (Invited address)

E1. Pecker JC and Wilson PR (1989) Systematic observations of the Sun. Proc. of 20th General Assembly of Intern. Astron. Union, (Baltimore) MR1110821

E1. Phan D (1989) Axisymmetric vacuum Einstein fields. Proceedings of the 5th Marcel Grossman Meeting on General Relativity, Blair DG, Buckingham MJ (ed.) , World Scientific, 545–548.

E1. Rees DE (1989) Synthesis and Inversion of Stokes Profiles in Sunspots. Proc. Atelier Transfert, Frisch H, Mein N eds (ed.) , l'Observatoire de Paris, 33–41. (Invited Review)

E1. Ryan AJ (1989) Domains of holomorphy as initial data for Dirac equations in $$\mathbb{C}^n$$. Seventeenth International Congress on Differential Geometric Methods in Theoretical Physics, Chester 15–19 August 1998, World Scientific, 281–291. MR1124434

E1. Seneta E (1989) Ukrainians in the 1986 census. Fourth Conference, Sydney 1988, Ukrainian Settlement in Australia, Gordijew I, Koscharsky H eds (ed.) , 88–93.

E3. Zheligovsky VA (1989) On magnetic field generation by a class of flows of conducting fluid. Abstracts of the VI Seminar Non-linear problems of the theory of hydrodynamic stability'', Moscow University Press, 25.

## Computer Software

G1. Cannon JJ and others (1989) Cayley V3.7. (As for V3.6 plus soluble groups and number theory; 280,000 lines of C code.) .

## Other Output

OT. Bosma W (1989) Notes on primality testing and factoring. Laboratoire de Mathématiques Marseille, 89

OT. Fackerell ED (1989) Einstein vacuum field equations with a single non-null Killing vector. (Seminar presented to Phys. Dept. Brigham Young Uni. Utah, USA)

## Unpublished Conference Proceedings

UN. Durrant CJ Solar physics and the large Earth-based solar telescope. AAS/ASA scientific discussion meeting, Canberra 1989 .

UN. Durrant CJ and Galloway DJ The solar analogue. CSIRO stellar workshop, Sydney 1989 .

UN. Fackerell ED Ricci collineations and new potentials for vacuum spacetimes with one Killing vector. 12th International Conference on General Relativity and Gravitation, University of Colorado, Boulder, Colorado July 1989 .

UN. Galloway DJ Kinematic dynamo action and stability of the ABC flows. Conference on Small-diffusivity dynamos and dynamical systems, Nice, France 1989 .

UN. Gibson WG Hopfield networks. Workshop on foundation of connectionist modelling, UNSW July 1989 .

UN. Phan D Exact solutions for axisymmetric vacuum spacetimes where the killing vector is hypersurface orthogonal. 12th Conference on General Relativity Colorado, USA 1989 .

UN. Quine MP A linear random growth model. Singapore Probability Conference, June 1989 .

UN. Quine MP Models for nucleation and growth on a line. Symposium on Applied Probability, Sheffield, England August 1989 .

UN. Quine MP and Robinson J A Poisson process with inhibition. International Conference on Recent Developments in Statistical Data Analysis and Inference, Neuchâtel, Switzerland, August 1989 .

UN. Robinson J Approximating probabilities for small and large deviations. 47th Session of the International Statistical Institute Paris, France, September 1989 .

UN. Wilson PR The reversal of the solar polar magnetic fields. Solar cycle workshop: 3rd meeting, Sydney 1989 .

UN. Wilson PR The extended solar cycle. Solar-terrestrial forecast workshop, Leura 1989 .

UN. Wilson PR The origin of the large-scale fields. Solar-terrestrial forecast workshop, Leura 1989, Poster paper .

UN. Winch DE Sydney-Auckland cable voltage analysis. 25th Austr. Appl. Maths. conference, Ballarat, Vic. 1989 .

UN. Winch DE Displaced daygraphs for the presentation of geomagnetic data. IAGA 6th scientific assembly Exeter, UK 1989 .

UN. Winch DE and others Geoelectric potentials measured by ocean cables. IAGA 6th scientific assembly, Exeter, UK 1989 .

UN. Winch DE and others Eastward and westward moving components of $$S_q$$ and $$L$$. IAGA 6th scientific assembly Exeter, UK 1989 .