Research Publications for 1990

Books

A1. Lai KF and Lan YZ
Lai KF, Lan YZ: Representation Theory of \(\mathrm{GL}(2)\) and theory of automorphic forms. Peking University Press, 1990.

A2. Hutchinson TP and Lai CD
Hutchinson TP, Lai CD: Continuous Bivariate Distributions, Emphasising Applications. Rumsby Scientific Publishing, Adelaide, 1990. MR1070715

A2. Wehrhahn KH
Wehrhahn KH: Combinatorics — An Introduction. Undergraduate Lecture Notes in Mathematics, 1 Carslaw Publications, Sydney, 1990.

A3. Reichel A
Reichel A: Out of the Crucible Conference Proceedings. CHAST, Sydney, 1990.

A5. Bosma W and van der Hulst MPM
Bosma W, van der Hulst MPM: Primality proving with cyclotomy. Universiteit van Amsterdam, 1990, (Proefschrift).

Chapters in Books

B1. Butler G and Cannon JJ
Butler G, Cannon JJ: The design of Cayley — a language for modern algebra, Design and Implementation of Symbolic Computation Systems. Miola A (ed.), Lecture Notes in Computer Science, 429, Springer, 1990, 10–19.

B1. Dancer EN and Hess P
Dancer EN, Hess P: Behaviour of a semilinear periodic-parabolic problem when a parameter is small, Functional analytic methods for partial differential equations. Springer-Verlag, Berlin, 1990, (Kato 60th birthday volume 12–19) MR1084598

B1. Myerscough MR, Maini PK, Murray JD and Winters KH
Myerscough MR, Maini PK, Murray JD, Winters KH: Two dimensional pattern formation in a chemotactic system, Dynamics of Complex Interconnected Biological System. Vincent TL, Mees AI, Jennings LS (ed.), Birkhauser, Boston, 1990, 65–83. MR1104228

B1. Rees DE
Rees DE: Stokes Polarimetry of Sunspots, Interior and Atmosphere of the Sun. Cox AN, Livingston WC, Matthews MS (ed.), Uni of Arizona, 1990, (Section III of Chapter 23. Invited review.)

B1. Zheligovsky VA
Zheligovsky VA: On magnetic field generation by a flow of a conducting medium with an internal scale, Computer analysis of geophysical fields. Computational Seismology, 23, Nauka, Moscow, 1990, 161–181.

Journal Articles

C1. Barnes DW
Barnes DW: Finitely sorting Lie algebras. Journal of the Australian Mathematical Society, 49 (1990), 354–363. MR91i:17027

C1. Bennett MR and Robinson J
Bennett MR, Robinson J: Probabilistic secretion of quanta from nerve terminals of synaptic sites on muscle cells: non-uniformity, autoinhibition and the binomial hypothesis. Royal Society of London. Proceedings, Series B, 239 (1990), 329–358.

C1. Bosma W
Bosma W: Approximation by mediants. Mathematics of Computation, 54 (1990), 421–434. MR90m:11119

C1. Bosma W
Bosma W: Canonical bases for cyclotomic fields. Applicable Algebra in Engineering, Communication and Computing, (1990), 125–134. MR95k:11135

C1. Bosma W and Kraaikamp C
Bosma W, Kraaikamp C: Metrical theory for optimal continued fractions. Journal of Number Theory, 34 (1990), 251–270. MR91d:11095

C1. Bracken AJ, Gould MD and Zhang RB
Bracken A. J., Gould M. D., Zhang R. B.: Quantum supergroups and solutions of the Yang-Baxter equation. Modern Phys. Lett. A, 5 (1990), no.11, 831–840. MR1057547

C1. Choo KG and Sun SH
Choo KG, Sun SH: Some new cardinal inequalities involving a cardinal function less than the spread and the density. Commentationes Mathematicæ Universitatis Carolinæ, 31 (1990), 395–401. MR92b:54005

C1. Dancer EN
Dancer EN: Certain weakly nonlinear partial differential equations on annuli. Nonlinear Analysis. Theory, Methods and Applications, 14 (1990), 441–442. MR1041507

C1. Dancer EN
Dancer EN: The effect of domain shape on the number of positive solutions of certain nonlinear equations II. Journal of Differential Equations, 87 (1990), 316–339. MR91j:35034

C1. Dancer EN and Toland JF
Dancer EN, Toland J: Degree theory for orbits of prescribed period for flows with a first integral. Proceedings of the London Mathematical Society, 60 (1990), 549–580. MR91a:58152

C1. Deligne P and Dimca A
Deligne P, Dimca A: Filtrations de Hodge et par l'ordre du \(p\) le pour les hypersurfaces singulières. Annales Scientifiques de l'École Normale Supérieure, Quatrième Série, 23 (1990) MR1072821

C1. Dimca A
Dimca A: Betti numbers of hypersurfaces and defects of linear systems. Duke Mathematical Journal, 60 (1990), 285–298. MR91f:14041

C1. Dimca A and Choudary ADR
Dimca A, Choudary ADR: Singular complex surfaces in \(\mathbb{P}^3\) having the same \(\mathbb{Z}\)-homology and \(\mathbb{Q}\)-homotopy type as \(\mathbb{P}^3\). The Bulletin of the London Mathematical Society, 22 (1990), 145–147. MR91e:14017

C1. Donati JF, Semel M, Rees DE, Taylor K and Robinson RD
Donati JF, Semel M, Rees DE, Taylor K, Robinson RD: Detection of a magnetic region on HR 1099. Astronomy and Astrophysics, 232 (1990), L1–L4.

C1. Du J
Du J: Cells in the affine Weyl group of type \(\tilde D_4\). Journal of Algebra, 128 (1990), 384–404. MR91a:20052

C1. Edelman D
Edelman D: An inequality of optimal order for the tail probabilities of the \(t\)-statistic under symmetry. Journal of the American Statistical Association, 85 (1990), 120–122. MR1137357

C1. Edelman D
Edelman D: A confidence interval for the center of an unknown unimodal distribution based on a sample size of 1. American Statistician, 44 (1990), 285–287.

C1. Edelman D
Edelman D: A note on uniformly most powerful two-sided tests. American Statistician, 44 (1990), 219–220. MR1130913

C1. Field MJ and Golubitsky M
Field MJ, Golubitsky M: Symmetric Chaos. Computers in Physics, 4 (1990), 470–479.

C1. Field MJ and Richardson RW
Field MJ, Richardson RW: Symmetry breaking in equivariant bifurcation problems. Bulletin of the American Mathematical Society, 22 (1990), 79–84. MR90e:58017

C1. Glasby SP and Slattery MC
Glasby SP, Slattery MC: Computing intersections and normalizers in soluble groups. Journal of Symbolic Computation, 9 (1990), 637–651. MR91j:20044

C1. Gould MD and Zhang RB
Gould M. D., Zhang R. B.: Classification of all star and grade star irreps of \(\mathrm{ gl}(n|1)\). J. Math. Phys., 31 (1990), no.6, 1524–1534. MR1054350

C1. Gould MD and Zhang RB
Gould M. D., Zhang R. B.: Unitary representations of basic classical Lie superalgebras. Lett. Math. Phys., 20 (1990), no.3, 221–229. MR1074703

C1. Gould MD and Zhang RB
Gould M. D., Zhang R. B.: Classification of all star irreps of \(\mathrm{ gl}(m|n)\). J. Math. Phys., 31 (1990), no.11, 2552–2559. MR1075732

C1. Hartfield DJ and Seneta E
Hartfield DJ, Seneta E: A note on semigroups of regular stochastic matrices. Linear Algebra and its Applications, 141 (1990), 47–51. MR91m:15031

C1. Hillman JA and Plotnick SP
Hillman JA, Plotnick SP: Geometrically fibred 2-knots. Mathematische Annalen, 287 (1990), 259–273. MR91g:57023

C1. Hoppe FM and Seneta E
Hoppe FM, Seneta E: Bonferroni-type inequalities and the methods of indicators and polynomials. Advances in Applied Probability, 22 (1990), 241–246. MR91e:60052

C1. Hoppe FM and Seneta E
Hoppe FM, Seneta E: A Bonferroni-type identity and permutation bounds. International Statistical Review, 58 (1990), 253–261.

C1. Jarvis PD and Zhang RB
Jarvis P. D., Zhang R. B.: \(c=1\) coset models and their fusion algebras. Proceedings of the Conference on Yang-Baxter Equations, Conformal Invariance and Integrability in Statistical Mechanics and Field Theory. Internat. J. Modern Phys. B, 4 (1990), no.5, 979–993. MR1064756

C1. Jones CA, Roberts PH and Galloway DJ
Jones CA, Roberts PH, Galloway DJ: Compressible convection in the presence of rotation and a magnetic field. Geophysical and Astrophysical Fluid Dynamics, 53 (1990), 145–182.

C1. Joshi N
Joshi N: An explicit one-soliton solution of the (2+1) dimensional generalized Sine-Gordon equations. Letters in Mathematical Physics, 20 (1990), 261–270. MR1077957

C1. Kasangian S and Walters RFC
Kasangian S, Walters RFC: The duality between flow charts and circuits. Bulletin of the Australian Mathematical Society, 42 (1990), 71–79. MR91j:68033

C1. Kokic PN and Weber NC
Kokic PN, Weber NC: An Edgeworth expansion for \(U\)-statistics based on samples from finite populations. The Annals of Probability, 18 (1990), 390–404. MR91e:60068

C1. Kotz S and Seneta E
Kotz S, Seneta E: Lenin as a statistician: a non-Soviet view. Journal of the Royal Statistical Society, Series A. Statistics in Society, 153 (1990), 73–94.

C1. Lehrer GI and Dyer MJ
Lehrer GI, Dyer MJ: On positivity in Hecke algebras. Geometriæ Dedicata, 25 (1990), 115–125. MR91h:20062

C1. Lehrer GI and Shoji T
Lehrer GI, Shoji T: On flag varieties, hyperplane complements and Springer representations of Weyl groups. Journal of the Australian Mathematical Society, (Series A), 49 (1990), 449–485. MR91k:20050

C1. Luckock HC and McKane AJ
Luckock HC, McKane AJ: Path Integrals and non-Markov Processes: III. Calculation of the Escape-Rate Prefactor in the Weak-Noise Limit. Physical Review. A, 42A (1990), 1982–1996. MR91k:82006

C1. Mack JM
Mack JM: FORUM: Survey of Entry Level Courses. Australian Mathematical Society Gazette, 17 (1990), 177–180.

C1. Madan DB and Seneta E
Madan D, Seneta E: The variance gamma (v.g.) model for share market returns. Journal of Business, 63 (1990), 511–524.

C1. Madan DB and Seneta E
Madan DB, Seneta E: On the monotonicity of the labour-capital ratio in Sraffa's model. Journal of Economics (Zeitschrift für Nationalökonomie), 51 (1990), 101–107. MR1054199

C1. McKane AJ, Luckock HC and Bray AJ
McKane AJ, Luckock HC, Bray AJ: Path Integrals and non-Markov Processes: I. General Formalism. Physical Review. A, 41A (1990), 644–656. MR91b:82032

C1. Monro GP
Monro GP: A note on the performer's conception of space. Journal for the Anthropological Study of Human Movement, 6 (1990), no.2, 63–71. (actually appeared in 1991)

C1. Myerscough MR
Myerscough MR: Propagation of a standing wave pattern in a chemotactic system. Australian Mathematical Society Gazette, 17 (1990), 1–4. MR1037098

C1. Nelson AM
Nelson AM: A Generalized Cyclotomic Identity. Advances in Mathematics, 83 (1990), 1–29. MR92h:05010

C1. Palmer WD
Palmer WD: Generalized Bhaskar-Rao designs with two association classes. Australasian Journal of Combinatorics, 1 (1990), 161–180. MR92g:05036

C1. Parusiński A
Parusiński A: Gradient homotopies of gradient vector fields. Studia Mathematica, XCVI (1990), 73–80. MR91g:58086

C1. Peiris MS
Peiris MS: Analysis of multivariate ARMA processes with nonstationary innovations. Communications in Statistics. Theory and Methods, 19 (1990), 2847–2852. MR92b:62135

C1. Quine MP and Robinson J
Quine MP, Robinson J: A linear random growth model. Journal of Applied Probability, 27 (1990), 499–509. MR91i:60068

C1. Reichel A
Reichel A: Chapters in Australian science. Quadrant, 34 (1990), no.266

C1. Robinson J, Hoglund T, Holst L and Quine MP
Robinson J, Hoglund T, Holst L, Quine MP: On approximating probabilities for small and large deviations on \(\mathbb{R}^d\). The Annals of Probability, 18 (1990), 727–753. MR91i:60069

C1. Rosenberg S, Weber NC, Crocq MR, Duval F and Macher JP
Rosenberg S, Weber NC, Crocq M, Duval F, Macher J: Random number generation by normal, alcoholic and schizophrenic subjects. Psychological Medicine, 20 (1990), 953–960.

C1. Seneta E
Seneta E: Karamata's iteration theorem and normed regularly varying sequences in a historical light. Publications de l'Institut Mathématique, Académie Serbe des Sciences, 48 (1990), 45–51. (New series) MR1105138

C1. Sun SH
Sun SH: Remarks on quantic nuclei. Mathematical Proceedings of the Cambridge Philosophical Society, 108 (1990), 257–260. MR91j:81011

C1. Taylor DE
Taylor DE: A natural proof of the cyclotomic identity. Bulletin of the Australian Mathematical Society, 42 (1990), 185–189. MR92g:05021

C1. Thompson RS, Aldis GK and Linnett IW
R S Thompson, G K Aldis and I W Linnett: Doppler ultrasound spectral power density distribution: measurement artefacts in steady flow. Med. & Biol. Eng. & Comput., 28 (1990), 60–66.

C1. Thompson RS and Trudinger BJ
R S Thompson and B J Trudinger: Doppler waveform indices and resistance, pressure and flow in the umbilical placental circulation: an investigation using a mathematical model. Ultrasound in Medicine and Biology, 16 (1990), 449–458.

C1. Wehrhahn KH and Varadarajan K
Wehrhahn KH, Varadarajan K: Aperiodic rings, necklace rings and Witt vectors. Advances in Mathematics, 81 (1990), 1–29. MR91f:05012

C1. Wilson PR, Donnelly RF and Wilkinson P
Wilson PR, Donnelly RF, Wilkinson P: Solar cycle workshop: Third meeting (a review). Solar Physics, 125 (1990), 159.

C1. Wilson PR, McIntosh PS and Snodgrass HB
Wilson PR, McIntosh PS, Snodgrass HB: The reversal of the solar polar magnetic fields I. Solar Physics, 127 (1990), 1–9.

C1. Winters KH, Myerscough MR, Maini PK and Murray JD
Winters KH, Myerscough MR, Maini PK, Murray JD: Tracking bifurcating solutions of a model biological pattern generator. Impact of Computing in Science and Engineering, 2 (1990), 355–371.

C1. Zhang RB and Gould MD
Zhang R. B., Gould M. D.: Classification of star and grade-star representations of \(C(n+1)\). J. Math. Phys., 31 (1990), no.8, 1889–1897. MR1067631

C1. Zhou DX
Ding Xuan Zhou: Inverse theorems for some multidimensional operators. Approx. Theory Appl., 6 (1990), no.4, 8211;39. MR1106064

C1. Zhou DX
Ding Xuan Zhou: Uniform approximation by some Durrmeyer operators. Approx. Theory Appl., 6 (1990), no.2, 8211;100. MR1078689

C1. Zhou DX
Ding Xuan Zhou: A note on pseudo ideals of fields. J. Math. Res. Exposition, 10 (1990), no.3, 421. MR1072451

Conference Proceedings

E1. Bosma W and van der Hulst MPM
Bosma W, van der Hulst MPM (1990). Faster primality proving. Advances in Cryptology — EUROCRYPT '89, Goos G, Hartmanis J eds (ed.) , Springer, Berlin, 652–656.

E1. Durrant CJ
Durrant CJ (1990). Outstanding theoretical problems. Solar photosphere: Structure, Convection and Magnetic Fields, Stenflo JO (ed.) , Kluwer, Dordrecht, 489–499. (IAU Symposium)

E1. Fraser WB
Fraser WB (1990). The unwinding problem: a moving boundary value problem. Mini-conference on approximate methods for boundary value problems, Centre for Mathematical Analysis, ANU, (December 1990) MR1123673

E1. Galloway DJ
Galloway DJ (1990). Dynamo action and stability of the ABC chaotic flows. Chaos in Australia, UNSW, (February 1990) MR1038611

E1. Gibson WG, Robinson J and Bennett MR
Gibson WG, Robinson J, Bennett MR (1990). Probabilistic Secretion of Transmitter at Granule Cell Synapses: A Role in Pattern Separation and Activity Regulation. Australian Conference on Neural Networks, Sydney (January, 1990), Proceedings of the First Australian Conference on Neural Networks, 132–133.

E1. Lehrer GI
Lehrer GI (1990). Group representations, geometry and topology. Lecture Notes in Mathematics, Springer, 1456, 14–31. MR92d:20058

E1. Mack JM
Mack JM (1990). Mathematics Education towards 2000. Australian Academy of Science Annual Symposium, April 1990 MR1147470

E1. Mack JM
Mack JM (1990). What are the purposes of a mathematical education? Mathematical Turning Points : Strategies for the 1990s, Vol. 1. Hobart, Milton K, McCann H eds (ed.) , 81–92. (Proceedings of the Australian Association of Mathematics Teachers 13th Biennial Conference)

E1. Suffern KG and Fackerell ED
Suffern KG, Fackerell ED (1990). Interval methods in computer graphics. Proc. AUSGRAPH 90, Gigante M (ed.) , Aust. Comp. Graphics Assoc. Inc., Melbourne, 35–44.

E1. Wall GE
Wall GE (1990). Dependence of Lie relators for Burnside varieties. Lecture Notes in Mathematics, Springer-Verlag, Berlin, 1456, 191–197. MR1092233

E1. Wilson PR
Wilson PR (1990). The extended solar activity cycle. Proceedings of the Solar-Terrestrial Predictions Workshop, Leura, 1989, 257–263.

E1. Wilson PR and McIntosh PS
Wilson PR, McIntosh PS (1990). The origin of the large-scale fields. Proceedings of the Solar-Terrestrial Predictions Workshop, Leura, 1989, 650–657.

Computer Software

G1. Cannon JJ and Richardson JS
Cannon JJ, Richardson JS (1990). Blockhandler V1.3. (5,000 lines of C code.) .

Other Output

OT. Fackerell ED
Fackerell ED (1990). Einstein vacuum field equations with a single non-null Killing vector. (Seminar presented to Phys. Dept. Uni. of Utah, Utah, USA)

Creative Works

OT. Fredericks I, Lee R, Monro GP and Ryan M
Fredericks I, Lee R, Monro GP, Ryan M (1990). Strange Attractors. (Presented at the 1990 WATT concerts (4 concerts), Seymour Centre, Sept 1990)

Unpublished Conference Proceedings

UN. Brown SF
Brown SF. Coronal loops in solar active regions. Conference on solar terrestrial and space physics, Melbourne 1990 .

UN. Easdown D
Easdown D. The free semigroup on a biordered set. Conference/Workshop on Semigroups, Formal Languages and Applications, Sydney, July 17–20 1990 .

UN. Eyland RW and Sharp B
Eyland RW, Sharp B. The differentiability of convex functions on topological linear spaces. Australian Mathematical Society Annual Meeting, Townsville, June 29 – July 2 1990 .

UN. Eyland RW and Sharp B
Eyland RW, Sharp B. The Frechet differentiability of convex functions on \(C(S)\). Miniconference on Analysis, Townsville, July 3–8 1990 .

UN. Eyland RW and Sharp B
Eyland RW, Sharp B. A generalization of Mazur's theorem and other results. Miniconference on Convex Analysis, Newcastle, June 11–25 1990 .

UN. Eyland RW and Sharp B
Eyland RW, Sharp B. A factor theorem for locally convex differentiability spaces. Workshop on Convex Analysis, Newcastle, June 11–25 1990 .

UN. Eyland RW and Sharp B
Eyland RW, Sharp B. Duality results for locally convex differentiability spaces. Workshop on Convex Analysis, Newcastle, July 16–30 1990 .

UN. Field MJ
Field MJ. Symmetry breaking. Conference on Computational Algebra in honour of G E Wall Sydney, November 7–9 1990 .

UN. Keener RW, Kmenta J and Weber NC
Keener R, Kmenta J, Weber NC. Estimation of the covariance matrix of the least square regression coefficients when the disturbance covariance matrix is of unknown form. 6th World Congress of the Econometric Society, Barcelona .

UN. Kelly GM
Kelly GM. Finitely enriched monads and their presentations. International Summer Conference in Category theory, Como, July 22–28 1990 .

UN. Kuo TC
Kuo TC. Some ideas of Thom and their outcome. Conference of Stratification et singularités d'applications. Luminy, May 21–25 1990 .

UN. Lehrer GI
Lehrer GI. Hecke algebras and related topics. Workshop on Algebraic Groups, Berkeley, October 1990 .

UN. Lehrer GI
Lehrer GI. Geometry of conjugacy classes. Conference on Group Theory, in honour of GE Wall, Sydney, November 10–11 1990 .

UN. Monro GP
Monro GP. Interpolation methods in the computer manipulation of sound. Australian New Music Conference, Brisbane, August 1990 .

UN. Peiris MS
Peiris MS. Multivariate ARMA processes with nonstationary innovations. 10th Australian Statistical Conference, University of NSW .

UN. Rees DE
Rees DE. Biomagnetism-the Next Frontier in Medical Imaging. Mathematical Association of NSW, Talented Students Day (July 1990) .

UN. Rees DE, Rennie CJ, Gordon E and Barn G
Rees DE, Rennie C, Gordon E, Barn G. Dynamics of electrical brain activity in schizophrenia. Chaos in Australia, UNSW 1990, Poster Paper .

UN. Reichel A
Reichel A. Substance abuse syndrome. Out of the Crucible, Sydney, December 1990 .

UN. Reichel A
Reichel A. Fostering the cognitive turn. Australian Association of History, Philosophy and Social Studies of Science, September 1990 .

UN. Taylor DE
Taylor DE. Two graphs and doubly transitive groups. Eighth Annual Algebra Conference of Victoria, Melbourne. September 27 and 28 1990 .

UN. Taylor DE
Taylor DE. Solomon algebras. 16th Australasian Conference on Combinatorial Mathematics and Computing, Massey University, New Zealand, December 2–7 1990 .

UN. Walters RFC
Walters RFC. The Todd Coxeter procedure and the computation of left Kan extension. Conference on Computational Algebra in honour of GE Wall, Sydney, November 7–9 1990 .

UN. Walters RFC
Walters RFC. An imperative language based on distributive categories. International Summer Conference in Category Theory, Como, July 22–28 1990 .

UN. Wehrhahn KH
Wehrhahn KH. Aperiodic rings, necklace rings and Witt vector. International Conference on Commutative Algebra and Combinatorics Nagoya, August 1990 .

UN. Wehrhahn KH
Wehrhahn KH. The cyclotomic identity and combinatorial species. International Congress of Mathematicians, Kyoto, August 1990 .