# Research Publications for 1994

## Books

A1. Hillman JA: The Algebraic characterization of Geometric 4-Manifolds. London Mathematical Society Lecture Series, 198 Cambridge University Press, Cambridge, 1994, ISBN 0 521 40117 8, 282 pages. MR95m:57032

A1. Wilson PR: Solar and Stellar Activity Cycles. Cambridge Astrophysics Series, 24 Cambridge University Press, Cambridge, 1994, ISBN 0 521 40685 4, 274 pages. (Series editors: Carswell RF, Lin DNC, Pringle JE).

A2. Choo KG and Taylor DE: Introduction to Discrete Mathematics. Longman Cheshire, Melbourne, 1994, ISBN 0 582 80055 2, ix + 148 pages.

## Chapters in Books

B1. Charlton BS, Foulds GA, Gray BF, Griffiths JF and Walker GS: Thermokinetic modelling of the gas phase partial oxidation of methane to methanol in a CSTR, Natural Gas Conversion II. Curry-Hyde HE, Howe RF (ed.), Studies in Surface Science and Catalysis, Elsevier, 1994, 379–381.

B1. Dancer EN: Positivity of maps and applications, Topological Nonlinear Analysis. Matzeu M, Vignoli A (ed.), Birkhauser, 1994, 303–340.

B1. Seneta E: Probability, Abeles F (ed.), The Mathematical Pamphlets of Charles Lutwidge Dodgson and Related Pieces, Lewis Carroll Society of North America, New York, 1994, 201–226. (sections 17–20) MR1292616

B1. Seneta E: Australia, Ukraine and Ukrainians throughout the World. A Demographic and Sociological Guide to the Homeland and its Diaspora. Pawliczko AL (ed.), University of Toronto Press, North York, 1994, 50–100.

B1. Seneta E: Russian probability and statistics before Kolmogorov, Companion Encyclopaedia of the History and Philosophy of the Mathematical Sciences. Grattan-Guiness I (ed.), 2, Routledge, London, 1994, 1325–1334.

B1. Seneta E, Veldhuis JD, Johnson ML and Faunt LM: Assessing temporal coupling between two or among three or more neuroendochrine pulse trains, Pulsatility in Neuroendocrine Systems. Levine JE (ed.), Methods in Neurosciences, 20, Academic Press, San Diego, 1994, 336–376. (Editor in Chief: P. Michael Conn)

B1. Zheligovsky VA, Podvigina OM and Sadovsky AM: On determination of the places of fractality of the Earth's crust by a formalized algorithm from the data on the Bouguer gravity anomalies and topography, Theoretical problems of geodynamics and seismology. Computational Seismology, 27, Nauka, Moscow, 1994, 245–279.

## Journal Articles

C1. Bennett MR, Gibson WG and Robinson J: Dynamics of the CA3 pyramidal neuron autoassociative memory network in the hippocampus. Philosophical Transactions of the Royal Society of London, Series A. Physical Sciences and Engineering, 343 (1994), 167–187.

C1. Cartwright DI, Kaimanovich VA and Woess W: Random walks on the affine group of local fields and homogeneous trees. Annales de l'Institut Fourier, 44 (1994), 1243–1288. MR1306556

C1. Cartwright DI and Młotkowski W: Harmonic analysis for groups acting on triangle buildings. Journal of the Australian Mathematical Society, A, 56 (1994), 345–383. MR1271526

C1. Cartwright DI, Młotkowski W and Steger TM: Property $$(\mathrm{T})$$ and $$\tilde A_2$$-groups. Annales de l'Institut Fourier, 44 (1994), 213–248. MR1262886

C1. Chen G, Abraham B and Peiris MS: Lag window estimation of the degree of differencing in fractionally integrated time series models. Journal of Time Series Analysis, 15 (1994), no.5, 473–487. MR1292162

C1. Choi MD, Ruskai MB and Seneta E: Equivalence of certain entropy contraction coefficients. Linear Algebra and its Applications, 208/209 (1994), 29–36. MR95h:94008

C1. Choudary ADR and Dimca A: Koszul complexes and hypersurface singularities. Proceedings of the American Mathematical Society, 121 (1994), 1009–1016. MR94j:13017

C1. Choudary ADR and Dimca A: Complex hypersurfaces diffeomorphic to affine spaces. Kodai Mathematical Journal, 17 (1994), 171–178. MR95f:14084

C1. Dancer EN: Turing instabilities for systems of two equations with periodic coefficients. Differential and Integral Equations, 7 (1994), 1253–1264.

C1. Dancer EN and Du Y: Existence of changing sgn solutions for some semilinear problems with jumping nonlinearities at zero. Proceedings of the Royal Society of Edinburgh, Section A. Mathematics, 124 (1994), 1265–1276.

C1. Dancer EN and Du Y: Competing species equations with diffusion, large interactions and jumping singularities. Journal of Differential Equations, 114 (1994), 434–475. MR95i:35296

C1. Dancer EN and Guo ZM: Uniqueness and stability for solutions of competing species equations with large interactions. Communications in Applied Nonlinear Analysis, 1 (1994), no.2, 19–45. MR1280113

C1. Dancer EN and Gupta C: A Liapounov-type result with application to a Dirichlet-type two-point boundary value problem at resonance. Nonlinear Analysis. Theory, Methods and Applications, 22 (1994), 305–318. MR1264087

C1. Dancer EN and Hess P: Stable subharmonic solutions in periodic reaction-diffusion equations. Journal of Differential Equations, 108 (1994), 190–200. MR95d:35082

C1. Dancer EN and Hess P: The symmetry of positive solutions of periodic parabolic problems. Journal of Computational and Applied Mathematics, 52 (1994), 81–89. MR96a:35017

C1. Daners D and Koch Medina P: Superconvexity of the evolution operator and parabolic eigenvalue problems on $$\mathbb{R}^N$$. Differential and Integral Equations, 7 (1994), 235 – 255. MR94m:34147

C1. Daners D and Koch Medina P: Exponential stability, change of stability and eigenvalue problems for linear time-periodic parabolic equations on $$\mathbb{R}^N$$. Differential and Integral Equations, 7 (1994), 1265 – 1284. MR1269656

C1. Daners D and Lopez-Gomez J: The singular perturbation problem for the periodic-parabolic logistic equation with indefinite weight functions. Journal of Dynamics and Differential Equations, 6 (1994), 659 – 670. MR95i:35160

C1. Dullin HR: Melnikov's method applied to the double pendulum. Z. Phys. B, 93 (1994), 521–528.

C1. Dullin HR, Juhnke M and Richter PH: Action integrals and energy surfaces of the Kovalevskaya top. Bifurcation and Chaos, 4 (1994), 1535–1562.

C1. Dullin HR and Wittek A: Efficient calculation of actions. J. Phys. A, 27 (1994), 7461–7474.

C1. Forbes LK and Gray BF: Forced oscillations in an exothermic chemical reaction. Dynamics and Stability of Systems, 9 (1994), 3. MR2238271

C1. Galloway DJ and Zheligovsky VA: On a class of non-axisymmetric flux rope solutions to the electromagnetic induction equation. Geophysical and Astrophysical Fluid Dynamics, 76 (1994), 253–264.

C1. Graham R and Luckock HC: Nicolai Maps for Quantum Cosmology. Physical Review, D49 (1994), no.6, 2786–2791. MR95a:83053

C1. Graham R and Luckock HC: The Hartle-Hawking state for the Bianchi IX model in Supergravity. Physical Review, D49 (1994), no.10, R4981–R4984. (Rapid Communication)

C1. Gray BF: Oscillating behaviour in small-scale compartment fires. Fire Safety Journal, 22 (1994), 305–306.

C1. Gray BF and Forbes LK: Analysis of chemical kinetic systems over the entire parameter space IV. The Sal'nikov oscillator with two temperature dependent reaction rates. Royal Society of London. Proceedings, Series A. Mathematical and Physical Sciences, 444 (1994), 621–642.

C1. Gray BF, Griffiths JF, Goulds GA, Charlton BG and Walker GS: The relevance of thermokinetic interactions and numerical modelling to the homogeneous partial oxidation of methane. Industrial and Engineering Chemistry Research, 33 (1994), 1126–1135.

C1. Hartfield DJ and Seneta E: On the theory of Markov set-chains. Advances in Applied Probability, 26 (1994), 947–964. MR95m:60099

C1. Hillman JA: Minimal 4-manifolds for groups of cohomological dimension 2. Proceedings of the Edinburgh Mathematical Society, Series II, 37 (1994), 455–461. MR95g:57034

C1. Hillman JA: On 4-manifolds with finitely dominated covering spaces. Proceedings of the American Mathematical Society, 121 (1994), 619–626. MR94h:57032

C1. Hu BL, Kang G and Matacz A: Squeezed Vacua and the Quantum Statistics of Particle Creation. International Journal of Modern Physics. A, 9 (1994), 991–1007. MR94j:83044

C1. Hu BL and Matacz A: Quantum Brownian Motion in a Bath of Parametric Oscillators. Physical Review. D, 49 (1994), 6612–6635. MR95h:82018

C1. Hutchinson TP: On overconfidence in multiple-choice tests. Psychological Record, (1994) MR1300487

C1. Hutchinson TP: Finding corrigenda to journal articles. Australian and New Zealand Journal of Serials Librarianship, (1994) MR1300487

C1. Hutchinson TP: The greatest new development in traffic engineering since the traffic signal?. Road and Transport Research, (1994) MR1300487

C1. Janelidze G and Kelly GM: Galois theory and a general notion of central extension. Journal of Pure and Applied Algebra, 97 (1994), 135–161. MR96f:08006

C1. Jing BY, Feuerverger A and Robinson J: On the bootstrap saddlepoint approximations. Biometrika, 81 (1994), 211–215. MR95a:62034

C1. Jing BY and Robinson J: Saddlepoint approximations for marginal and conditional probabilities of transformed variables. The Annals of Statistics, 22 (1994), 1115–1132. MR95k:62045

C1. Jongmans F and Seneta E: A probabilistic New Principle' of the 19th century. Archive for History of Exact Sciences, 47 (1994), 93–102. MR95b:01012

C1. Joshi N: Singularity analysis and integrability for discrete dynamical systems. Journal of Mathematical Analysis and Applications, 184 (1994), 573–584. MR1281529

C1. Joshi N and Kruskal MD: A direct proof that the six Painlevé equations have no movable singularities except poles. Studies in Applied Mathematics, 93 (1994), 187–207. MR1298423

C1. Joshi N and Petersen JA: A method of proving the convergence of the Painlevé expansions of partial differential equations. Nonlinearity, 7 (1994), 595–602. MR1267703

C1. Ku S and Seneta E: The number of peaks in a stationary sample and orthant probabilities. Journal of Time Series Analysis, 15 (1994), 385–403. MR95j:62067

C1. Lai KF and Lee R: Finite group actions on Siegel modular spaces. Transactions of the American Mathematical Society, 345 (1994), 37–45.

C1. Lehrer GI and Howlett RB: On Harish-Chandra induction and restriction for modules of Levi subgroups. Journal of Algebra, 165 (1994), 172–183. MR95d:20025

C1. Matacz A: The Coherent State Representation of Quantum Fluctuations in the Early Universe. Physical Review. D, 49 (1994), 788–798.

C1. Mathas A: Some generic representations, W-graphs, and duality. Journal of Algebra, 170 (1994), 322–353. MR95k:20064

C1. Mathas A: A $$q$$-analogue of the Coxeter complex. Journal of Algebra, 164 (1994), 831–848. MR95c:20055

C1. McIntosh AC, Gray BF and Wake GC: The ignition of combustible material in the presence of a damp atmosphere. Physics Letters, A, 191 (1994), 61–70.

C1. Morgan MK, Sundt TM, Anderson RE and Weber NC: The haemodynamic consequences of a carotid-jugular fistula in the rat during hypocapnia. Journal of Clinical Neuroscience, (1994), no.3, 193–196.

C1. Paunescu L: $$V$$-sufficiency from the weighted point of view. Journal of the Mathematical Society of Japan, 46 (1994), no.2, 345–354. MR95b:58021

C1. Podvigina OM and Pouquet A: On the non-linear stability of the 1:1:1 ABC flow. Physica D, D, 75 (1994), 471–508. MR95e:76042

C1. Quine MP: A Result of Shepp. Applied Mathematics Letters, 7 (1994), no.6, 33–34. MR96e:60026

C1. Quine MP: Probability Approximations for Divisible Discrete Distributions. The Australian Journal of Statistics, 36 (1994), no.3, 339–349. MR95m:62026

C1. Quine MP: Generalisations of the Bienayme-Galton-Watson branching process. Annals of Applied Probability, 4 (1994), no.4 MR1445774

C1. Ramagge J: An Introduction to Kac-Moody Groups. The Gazette of the Australian Mathematical Society, 19 (1994), 207–212.

C1. Ramagge J: Afﬁne Kac-Moody groups of types II and III. Comptes Rendus Mathématique. Académie des Sciences. Paris, 319 (1994), 207–212.

C1. Seneta E: A semi-deterministic generalization of a $$2\times 2$$ contingency table. Kiїvs'kiĭ Unīversitet. Teorīya Īmovīrnosteĭ ta Matematichna Statistika, 50 (1994), 114–118. (in Ukrainian) MR1445525

C1. Seneta E: Carl Liebermeister's hypergeometric tails. Historia Mathematica, 21 (1994), 453–462. MR96d:01023

C1. Sun SH and Walters RFC: Representations of modules and Cauchy completeness. Cahiers de Topologie et Géométrie Différentielle Catégoriques, XXXV3 (1994), 263–269. MR95k:18003

C1. Taylor DE and Xu M-Y: Vertex primitive 1/2-transitive graphs. Journal of the Australian Mathematical Society, (Series A), 56 (1994), 1–14.

C1. Thompson RS, Trudinger BJ, Reed VD and Turner AJ: Aortic Doppler velocity measurements and cardiac function in the fetal lamb. Ultrasound in Medicine and Biology, 20 (1994), 893–902.

C1. Vanyan LL, Palshin NA, Semenov V and Winch DE: Glubinnoe magnitotellyricheskoe zondirovanie s ispoldzobaniem podbodnovo kabelya abstraliya-nobaya zelandiya. 1. Analys eksperimentalnik dannik. Rossiĭskaya Akademiya Nauk. Fizika Zemli, 9 (1994), 94–96.

C1. Viera F: Boundary Surface Dynamics: an algorithm for stratified geostrophic flows. Journal of Computational Physics, 111 (1994), 336–346.

C1. Viera F and Grimshaw R: Topographic forcing of mesoscale phenomena: Filamentation, vortex formation and eddy detachment. Journal of Physical Oceanography, 24 (1994), 1433–1448.

C1. Wilson PR and Giovannis J: The Reversal of the Polar Fields in Cycle 22. Solar Physics, 155 (1994), 29–44.

C1. Zheligovsky VA, Podvigina OM and Sadovsky AM: On determination of the boundaries of geological partitions from the data on the Bouguer gravity anomalies with a formalised algorithm. Doklady Akademii Nauk, 337 (1994), no.4, 528–531.

C1. Zheligovsky VA, Podvigina OM and Sadovsky AM: Some peculiarities of the Earth's crust structure in California in the data on topography and the Bouguer anomalies and their relation to seismicity. Doklady Akademii Nauk, 337 (1994), no.5, 662–666.

## Reviews

D. Monro GP: Review of International Computer Music Conference, Tokyo 1993. Chroma (Newsletter of the Australian Computer Music Association), (1994), no.15, 12–15. (An abbreviated version also appeared in Sounds Australian Update'' issue no 71 (Nov 1993), p.5.)

D. Monro GP: ICMC 1994 - The Human Touch. Chroma (Newsletter of the Australian Computer Music Association), (Oct 1994) (1994), no.18, 11–14.

## Conference Proceedings

E1. Bennett MR, Robinson J and Phipps MC (1994) Spontaneous quantal secretions from single synaptic varicosities. Neuroscience (Canberra 1994), Proceedings Australian Neuroscience Society, 5

E1. Britton S (1994) Graphics calculators in undergraduate mathematics teaching. Proceedings of the 17th Annual Conference of the Mathematics Education Research Group of Australia, 1, 121.

E1. Drummond J and Monro GP (1994) Static and Dynamic Sound Warping. Synaesthetica '94, Canberra, 1–3 July 1994, 1–10.

E1. Drummond J and Monro GP (1994) Geometric Sound Transformations. International Computer Music Conference, Aarhus, 1994, International Computer Music Association, 327–328.

E1. Gibson WG, Robinson J and Thomas CM (1994) Stability and bifurcations in an autoassociative memory model. European Symposium on Artificial Neural Networks, Verleysen M (ed.) , D Facto, Brussels, ISBN 2-9600049-1-4, 7–12.

E1. Islam A, Sabadini N and Walters RFC (1994) Extensive categories, and progress properties in concurrency. Computing: Australian Theory Seminar, UTS, Sydney, 1994 MR1382445

E1. Katis P, Sabadini N and Walters RFC (1994) The bicategory of circuits. Computing: Australian Theory Seminar, UTS, Sydney, 1994 MR1382445

E1. Sabadini N, Weld H and Walters RFC (1994) Categories of asynchronous circuits. Computing: Australian Theory Seminar, UTS, Sydney, 1994, 158–188.

E1. Viera F (1994) The evolution of cylindrical geostrophic vortices. Computational Techniques and Applications, Proceedings, Computational Techniques and Applications: CTAC-93, World Scientific, Singapore

E2. Buchen PW and Kelly MF (1994) Maximum entropy applied to financial options. ANU Workshop on Stochastics and Finance, Financial Mathematics Research Report, ANU Workshop on Stochastics and Finance, Financial Mathematics Research Report, SRR-016-94, 7–30.

E2. Hutchinson TP (1994) Models for responses to multiple-choice items. 12th Australian Statistical Society Conference

E2. Luckock HC (1994) Supersymmetric Quantum Cosmology. The Fourth Monash General Relativity Workshop, Lun A, Brewin L, Chow E (ed.) , Department of Mathematics, Monash University, 99–106.

E2. Weber NC (1994) Applying elementary probability to some statistical problems. Teaching Ideas for Senior Mathematics, Scanlon H (ed.) , Mathematical Association of NSW Publications, 1, 82–85.

E3. Bennett MR and Gibson WG (1994) On the contribution of quantal secretion from close-contact and loose-contact varicosities to the synaptic potentials in the vas deferens. Australian Neuroscience 14th Annual Meeting, Proceeding of the Australian Neuroscience Society, 5, 146.

E3. Cao P and Macaskill C (1994) Conjugate gradient type methods for rough surface scattering problems. 30th Australian Applied Mathematics Conference ANZIAM 94, Pokolbin, NSW, February 6–10 1994

E3. Cao P and Macaskill C (1994) A scattering result for the second kind integral equation for random rough surfaces having extreme rms height. International Symposium on Methods and Applications of Analysis, Hong Kong, December 16–19, 1994

E3. Hu TC and Weber NC (1994) On the invariance principle for exchangeable random variables. 3rd World Congress of the Bernoulli Society, Chapel Hill

E3. Langton B and Fackerell ED (1994) Similarity reductions of the field equations for stationary axisymmetric rigidly rotating perfect fluids. 7th Marcel Grossmann Meeting on General Relativity, Stanford University (USA), 1994, Proceedings of the Seventh Grossman Conference on Recent Developments in General Relativity

E3. Macaskill C and Bewick BM (1994) Hyperviscosity in pseudo-spectral models. 30th Australian Applied Mathematics Conference ANZIAM 94, Pokolbin, NSW, February 6–10 1994

E3. Macaskill C, Ewart TE and Ballard JW (1994) Invited paper. IEEE AP-S International Symposium and URSI Radio Science Meeting, Seattle, Washington, June 19-24, 1994

E3. Palmer WD (1994) Bhaskar Rao Designs with Variable Group Sizes. 20th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing, (Conference abstract and unrefereed conference paper)

E3. Poznanski RR, Gibson WG and Bennett MR (1994) Electrotonic coupling between two CA3 hippocampal neurons: a distributed cable model with somatic gap-junction. Australian Neuroscience 14th Annual Meeting, Proceedings of the Australian Neuroscience Society, 5, 145.

E3. Taylor DE (1994) The Klein correspondence and half-spin spaces. Algebraic Combinatorics and Related Topics, (5-9 December, Manila, The Philippines)

E3. Zheligovsky VA (1994) Spherical Beltrami flow magnetic dynamos. The 30th Australian Applied Mathematics Conference, Pokolbin, NSW, 6-10 February 1994, ANZIAM

## Computer Software

G1. Wilson M, Macaskill C, James RW and Szabo P (1994) DIALOG interface to NCAR graphics package plus numerous extensions. surplot: C and DIALOG. (Surface drawing with zoom, animation and variable inputs covering discrete and function-based input data. 13000 lines of code. Still under development.) .

## Other Output

OT. Daners D (1994) Seminar. Change of stability for linear parabolic equations on $$\mathbb{R}^N$$. Department of Mathematics, University of California LA

OT. Daners D (1994) Seminar. Domain independent a priori estimates for elliptic boundary value problems. Mathematics Institute, University of Zurich

OT. Daners D (1994) Seminar. Eigenvalue problems on $$\mathbb{R}^N$$. Mathematics Institute, University of Tubingen

OT. Daners D (1994) Seminar. Eigenvalue problems for periodic parabolic-operators. Laboratoire de mathematique, University of Besancon

OT. Luckock HC (1994) Seminar. Boundary Corrections for Supersymmetry and Nicolai Maps. Department of Applied Maths and Theoretical Physics, University of Cambridge, 1992

OT. Luckock HC (1994) Colloquium. Quantum Supergravity, and some new ideas on Time and the Origin of the Universe. School of Physics, University of Sydney, 1994

OT. Luckock HC (1994) Seminar. Path Integral Formulation of Coloured Noise. Applied Mathematics Department, University of Sydney, 1992

OT. Luckock HC and Oliwa C (1994) Quantisation of Bianchi IX Class A Models in Supergravity, and the Probability Density Function of the Universe. 7th Marcel Grossmann Meeting on General Relativity, Stanford University (USA), 1994

OT. Richardson JS (1994) WWW index. MathSearch index of World Wide Web mathematics and statistics pages. http://ms.maths.usyd.edu.au:8000/MathSearch.html, (Full-content sentence-level index generated by robot, with forms interface to phrase-oriented search engine)

## Creative Works

F1. Cohen A and Monro GP (1994) Music for computer and live performers. New Stars. Conference Synaesthetica '94", Canberra, July 1–3 1994, (Musical submissions were selected by a music jury.)

F1. Monro GP (1994) Tape music. Study in Dimension 1.245. Exhibition Contours of the Mind", Drill Hall Gallery, ANU, July 1994, (This piece was one of four audio pieces selected for the exhibition.)

F1. Monro GP (1994) Tape music. Dry Choices. Conference `Synaesthetica '94", Canberra, July 1–3, 1994, (Music submissions were reviewed by a music jury.)

## Unpublished Conference Proceedings

UN. Durrant CJ Solar magneto-seismology. 30th Australian Applied Mathematics Conference, Pokolbin 1994 .