# Research Publications for 1997

## Chapters in Books

**B1.**
Dimca A and Lehrer GI

A Dimca and G I Lehrer**:**
Purity and equivariant weight polynomials,
*Algebraic Groups and Lie Groups.*
Australian Mathematical Society Lecture Series,
**9**,
Cambridge University Press,
Cambridge, U.K.,
1997,
ISBN 0 521 58532 5,
161–181.
MR99h:14023

**B1.**
Gillespie T

Thomas R Gillespie**:**
Mathematical Techniques,
*Risk Management and Financial Derivatives: A Guide to the Mathematics.*
LBC Information Services,
Sydney,
1997,
ISBN 0455215162,
717–778.

**B1.**
Kruskal MD, Joshi N and Halburd RG

M Kruskal, N Joshi and R Halburd**:**
Analytic and asymptotic methods for nonlinear singularity analysis: a Review and extensions of tests for the Painlevé property,
*Integrability and nonlinear systems.*
Lecture Notes in Physics,
Springer-Verlag,
Heidelberg,
1997,
171–205.
MR1636294

**B1.**
Parusiński A

Adam Parusinski**:**
A note on singularities at infinity of complex polynomials,
*Symplectic Singularities and Geometry of Gauge Fields.*
Banach Center Publications,
**39**,
Institute of Mathematics, Polish Acadamy of Sciences,
Warszawa,
1997,
131–141.
MR1458655

## Journal Articles

**C1.**
Anh V, Lunney K and Peiris MS

V. Anh, K. Lunney, S. Peiris**:**
Stochastic models for characterisation and prediction of time series with long-range dependence and fractality.
*Environmental Modelling and Software*,
12
(1997),
no.1,
67–73.

**C1.**
Bäcker A and Dullin HR

A. Bäcker and H. R. Dullin**:**
Symbolic dynamics and periodic orbits for the cardioid billiard.
*J. Phys. A*,
30
(1997),
1991–2020.

**C1.**
Balasuriya S

Balasuriya S**:**
Vanishing viscosity in the barotropic beta-plane.
*Journal of Mathematical Analysis and Applications*,
214
(1997),
128–150.
MR1645523

**C1.**
Bell J, Mattick RP, Hay A, Chan JSK and Hall WD

James Bell, Richard Mattick, Anna Hay, Jennifer Chan and Wayne Hall**:**
Methadone maintenance and drug-related crime.
*Journal of Substance Abuse*,
9
(1997),
15–25.

**C1.**
Bennett MR, Farnell L, Gibson WG and Lavidis NA

M.R. Bennett, L. Farnell, W.G. Gibson, N.A. Lavidis**:**
Synaptic transmission at visualized sympathetic boutons: stochastic interaction between acetylcholine and its receptors.
*Biophysical Journal*,
72
(1997),
1595–1606.

**C1.**
Bennett MR, Gibson WG and Robinson J

M.R. Bennett, W.G. Gibson, J. Robinson**:**
Probabilistic secretion of quanta and the synaptosecretosome hypothesis: evoked release at active zones of varicosities, boutons and endplates.
*Biophysical Journal*,
73
(1997),
1815–1829.

**C1.**
Bernad J, Gonzales S, Martinez C and Iltyakov AV

J.Bernad, S.Gonzales, C.Martinez and A. V. Iltyakov**:**
On identities of baric algebras and superalgebras.
*Journal of Algebra*,
197
(1997),
385–408.
MR99a:17034

**C1.**
Bolsinov AV and Dullin HR

A. V. Bolsinov and H. R. Dullin**:**
On the Euler case in rigid body dynamics and the Jacobi problem (Russian).
*Regular and Chaotic Dynamics*,
2
(1997),
no.1,
13–25.

**C1.**
Bosma W, Cannon JJ and Playoust CE

W. Bosma, J. Cannon, C. Playoust**:**
The magma algebra system I: the user language.
*Journal of Symbolic Computation*,
24
(1997),
no.3/4,
235–265.
MR1484478

**C1.**
Bosma W, Cannon JJ and Steel A

W. Bosma, J. Cannon, A. Steel**:**
Lattices of compatibility embedded finite fields.
*Journal of Symbolic Computation*,
24
(1997),
no.3/4,
351–369.
MR99a:11143

**C1.**
Broutman D, Macaskill C and McIntyre E

Dave Broutman, C. Macaskill, Michael E. McIntyre and James W. Rottman**:**
On Doppler-spreading models of internal waves.
*Geophysical Research Letters*,
24
(1997),
no.22,
2813–2816.

**C1.**
Buchen PW and Ben Hador R

Peter W Buchen and Ronen Ben Hador**:**
Perturbation formulas for linear dispersive waves in weak spatially non-uniform media.
*Wave Motion*,
26
(1997),
no.2,
187–197.
MR1471201

**C1.**
Buchen PW and Hador RB

P W Buchen and R Ben Hador**:**
Perturbation formulas for linear dispersive waves in spatially non-uniformed media.
*Wave Motion*,
26
(1997),
187–197.

**C1.**
Cîrstea FC

Florica C. Cîrstea**:**
Existence of nontrivial weak solutions for a class of quasilinear problems.
*Annals of the University of Craiova. Mathematics and Computer Science Series*,
24
(1997),
73–87.
MR2000b:35090

**C1.**
Cannon JJ, Cox BC and Holt DF

J. Cannon, B. C. Cox, D. F. Holt**:**
Computing Sylow subgroups in permutation groups.
*Journal of Symbolic Computation*,
24
(1997),
no.3/4,
303–316.
MR98m:20010

**C1.**
Cannon JJ and Holt DF

J. Cannon, D. F. Holt**:**
Computing chief series, composition series and socles in large permutation groups.
*Journal of Symbolic Computation*,
24
(1997),
no.3/4,
285–301.
MR98m:20009

**C1.**
Cannon JJ and Playoust CE

J. Cannon, C. A. Playoust**:**
Using the magma computer algebra system in abstract algebra courses.
*Journal of Symbolic Computation*,
23
(1997),
no.5/6,
459–484.

**C1.**
Carboni A, Janelidze G, Kelly GM and Paré R

A. Carboni, G. Janelidze, G.M. Kelly, R. Paré**:**
On localization and stabilization for factorization systems.
*Applied Categorical Structures*,
5
(1997),
1–58.
MR98k:18001

**C1.**
Carey AL, Wang BL, Zhang RB and McCarthy J

Carey A. L., Wang B. L., Zhang R. B., McCarthy J.**:**
Seiberg-Witten monopoles in three dimensions.
*Lett. Math. Phys.*,
39
(1997),
no.3,
213–228.
MR1434233

**C1.**
Chan JSK and Kuk AYC

Jennifer S.K. Chan and Anthony Y.C. Kuk**:**
Maximum likelihood estimation for probit-linear mixed models with correlated random effects.
*Biometrics*,
53
(1997),
86–97.
MR1450182

**C1.**
Chan JSK, Kuk AYC and Bell J

Jennifer S.K. Chan, Anthony Y.C. Kuk and James Bell**:**
A likelihood approach to analysing longitudinal bivariate binary data.
*Biometrical Journal*,
39
(1997),
409–421.

**C1.**
Chiu SN and Quine MP

S N Chiu and M P Quine**:**
Central limit theory for growth models in \(\mathbb{R}^d\) with inhomogeneous arrivals.
*Annals of Applied Probability*,
7
(1997),
802–814.
MR98j:60067

**C1.**
Cobb RJ and Hillman JA

R.Cobb and J.A.Hillman**:**
\(S^2\) bundles over aspherical closed surfaces are geometric.
*Proceedings of the American Mathematical Society*,
125
(1997),
3415–3422.
MR98d:57021

**C1.**
Cosgrove CM

Christopher M. Cosgrove**:**
Painlevé classification problems featuring essential singularities.
*Studies in Applied Mathematics*,
98
(1997),
355–433.
MR98b:34011

**C1.**
Dancer EN

E.N. Dancer**:**
Some singularly perturbed problems on annuli and a counterexample to a problem of Gidas, Ni and Nirenberg.
*The Bulletin of the London Mathematical Society*,
29
(1997),
322–326.
MR97m:35016

**C1.**
Dancer EN

Norman Dancer**:**
Competing species systems with diffusion and large interactions.
*Rendiconti del Seminario Matematico e Fisico di Milano*,
65
(1997),
23–33.

**C1.**
Dancer EN and Daners D

E.N. Dancer and D. Daners**:**
Domain perturbation for elliptic equations subject to Robin boundary conditions.
*Journal of Differential Equations*,
138
(1997),
86–132.
MR98e:35017

**C1.**
Dancer EN and Du Y

E.N. Dancer, Yihong Du**:**
A note on multiple solutions of some semilinear elliptic problems.
*Journal of Mathematical Analysis and Applications*,
211
(1997),
626–640.
MR98g:35075

**C1.**
Dancer EN and Hirano N

E.N. Dancer, N. Hirano**:**
Existence of stable and unstable periodic solutions for semilinear parabolic problems.
*Discrete and Continuous Dynamical Systems*,
3
(1997),
no.2,
207–216.
MR97j:35077

**C1.**
Dancer EN and Wei J

E.N. Dancer, Juncheng Wei**:**
On the profile of solutions with two sharp layers to a singularly perturbed semilinear Dirichlet problem.
*Proceedings of the Royal Society of Edinburgh*,
127A
(1997),
691–701.
MR98i:35012

**C1.**
Daners D

Daniel Daners**:**
Periodic-parabolic eigenvalue problems with indefinite weight functions.
*Archiv der Mathematik (Basel)*,
68
(1997),
388–397.
MR1441637

**C1.**
Delbourgo R and Zhang RB

Delbourgo R., Zhang R. B.**:**
Minimal uncertainty states for quantum groups.
*J. Phys. A*,
30
(1997),
no.10,
L313–L316.
MR1457943

**C1.**
Digne F, Lehrer GI and Michel J

F Digne, G I Lehrer, J Michel**:**
On Gel'fand-Graev characters of reductive groups with disconnected centre.
*Journal für die Reine und Angewandte Mathematik*,
491
(1997),
131–147.
MR98i:20015

**C1.**
Dimca A, Hillman JA and Paunescu L

A.Dimca, J.A.Hillman, L.Paunescu**:**
On hypersurfaces in real projective spaces.
*Far Eastern Journal of Mathematical Sciences*,
5
(1997),
159–168.
MR97k:57035

**C1.**
Doran-Wu P and Joshi N

Doran-Wu P and Joshi N**:**
Direct asymptotic analysis of the second Painlevé equation: three limits.
*Journal of Physics. A. Mathematical and General*,
30
(1997),
4701–4708.
MR1479799

**C1.**
Easdown D and Gould V

David Easdown and Victoria Gould**:**
Cancellative orders.
*Semigroup Forum*,
55
(1997),
185–195.
MR98h:20105

**C1.**
Glasby SP and Howlett RB

S P Glasby and R B Howlett**:**
Writing representations over minimal fields.
*Communications in Algebra*,
25
(1997),
no.6,
1703–1711.
MR98c:20019

**C1.**
Gonska HH and Zhou DX

Heinz H. Gonska, Ding-Xuan Zhou**:**
Design of Wilson-Fowler splines.
*Studia Univ. Babeş-Bolyai Math.*,
42
(1997),
no.1,
8211;100.
MR2362868

**C1.**
Gopalsamy K and He XZ

K Gopalsamy K and Xue-Zhong He**:**
Oscillations and convergence in an almost periodic competition system.
*Acta Applicandae Mathematicae*,
46
(1997),
no.3,
247–266.
MR98m:92028

**C1.**
Gottwald GA, Grimshaw RHJ and Malomed B

G.A. Gottwald, R.H.J. Grimshaw and B. Malomed**:**
Parametric Envelope Solitons in Coupled Korteweg-de Vries Equations.
*Physics Letters. A*,
227
(1997),
47–54.
MR1435920

**C1.**
Graham R and Luckock HC

Robert Graham, Hugh Luckock**:**
Cosmological time in quantum supergravity.
*Physical Review. D*,
55
(1997),
no.4,
1943–1947.
MR97k:83083

**C1.**
Gray BF, Macintosh AC and Wake GC

B. F. Gray, A. C. Macintosh and G. C. Wake**:**
Analysis of the bifurcational behaviour of a simple model of vapour ignition in porous material.
*Royal Society of London. Proceedings*,
Series A,
A453
(1997),
281–301.

**C1.**
He XZ and Gopalsamy K

Xue-Zhong He and K Gopalsamy**:**
Persistence, attractivity, and delay in facultative mutualism.
*Journal of Mathematical Analysis and Applications*,
215
(1997),
no.1,
154–173.
MR1478857

**C1.**
Henery R, Gibson WG and Bennett MR

R. Henery, W.G. Gibson, M.R. Bennett**:**
Quantal currents and potential in the three-dimensional anisotropic bidomain model of smooth muscle.
*Bulletin of Mathematical Biology*,
59
(1997),
1047–1075.

**C1.**
Hillman JA

Jonathan A. Hillman**:**
On the homotopy types of closed 4-manifolds covered by \(S^2\times \mathbb{R}^2\).
*Topology and its Applications*,
75
(1997),
287–295.
MR98a:57032

**C1.**
Hillman JA

Jonathan A. Hillman**:**
On \(L^2\)-homology and asphericity.
*Israel Journal of Mathematics*,
99
(1997),
271–283.
MR98f:57035

**C1.**
Hillman JA, Jeffries BRF, Ricker WJ and Straub B

J.A.Hillman, B.R.F.Jefferies, W.J.Ricker, B.Straub**:**
Differential properties of the numerical range map of pairs of matrices.
*Linear Algebra and its Applications*,
267
(1997),
317–334.
MR98h:15050

**C1.**
Hillman JA and Kearton C

J.A. Hillman and C. Kearton**:**
Algebraic invariants of simple 4-knots.
*Journal of Knot Theory and its Ramifications*,
6
(1997),
307–318.
MR99b:57047

**C1.**
Hillman JA and Sakuma M

J.A.Hillman and M.Sakuma**:**
On the homology of finite abelian coverings of links.
*Canadian Mathematical Bulletin*,
40
(1997),
309–315.
MR98i:57010

**C1.**
Howlett RB, Rowley PJ and Taylor DE

R.B. Howlett, P.J. Rowley and D.E. Taylor**:**
On outer automorphism groups of Coxeter groups.
*Manuscripta Mathematica*,
93
(1997),
499–513.
MR98j:20056

**C1.**
Iltyakov AV

A.V.Iltyakov**:**
On polynomial identities of Jordan pairs of rectangular matrices.
*Linear Algebra and its Applications*,
260
(1997),
257–271.
MR98c:15087

**C1.**
James GD and Mathas A

Gordon James and Andrew Mathas**:**
A \(q\)-analogue of the Jantzen-Schaper theorem.
*Proceedings of the London Mathematical Society*,
Third Series,
74
(1997),
241–274.
MR97j:20013

**C1.**
Janelidze G and Kelly GM

G. Janelidze, G. M. Kelly**:**
The reflectiveness of covering morphisms in algebra and geometry.
*Theory and Applications of Categories*,
3
(1997),
no.6,
132–159.
MR98k:18002

**C1.**
Jia RQ, Riemenschneider SD and Zhou DX

R. Q. Jia, S. D. Riemenschneider, D. X. Zhou**:**
Approximation by multiple refinable functions..
*Canad. J. Math.*,
49
(1997),
no.5,
#8211;962.
MR1604122

**C1.**
Jing BY and Robinson J

Bing-Yi Jing, John Robinson**:**
Two-sample nonparametric tilting method.
*The Australian Journal of Statistics*,
39
(1997),
25–34.
MR98d:62087

**C1.**
Joarder AH

Joarder AH**:**
On the characteristic function of the multivariate Pearson type II distribution.
*Journal of Information and Optimization Sciences*,
18
(1997),
177–182.
MR98b:60032

**C1.**
Joarder AH and Ali MM

Joarder AH, Ali MM**:**
Estimation of the scale matrix of a multivariate T-model under entropy loss.
*Metrika*,
46
(1997),
21–32.
MR98k:62096

**C1.**
Joarder AH and Mahmood M

Anwar H Joarder, Munir Mahmood**:**
An inductive derivation of Stirling numbers of the second kind and their applications in statistics.
*Journal of Applied Mathematics and Decision Sciences*,
1
(1997),
no.2,
151–157.
MR1609730

**C1.**
Joshi N

Joshi N**:**
A local asymptotic analysis of the first discrete Painlevé equation as the discrete independent variable approaches infinity.
*Methods and Applications of Analysis*,
4
(1997),
124–133.
MR1603106

**C1.**
Joshi N and Srinivasan GK

Joshi N and Srinivasan GK**:**
The radius of convergence and the well-posedness of the Painlevé expansions of the Kortweg-de-Vries equation.
*Nonlinearity*,
10
(1997),
71–79.
MR1430740

**C1.**
Katis P, Sabadini N and Walters RFC

P. Katis, N. Sabadini, R.F.C. Walters**:**
Bicategories of processes.
*Journal of Pure and Applied Algebra*,
115
(1997),
141–178.
MR97m:18010

**C1.**
Kelly GM and Lack S

G.M. Kelly and Stephen Lack**:**
On property-like structures.
*Theory and Applications of Categories*,
3
(1997),
213–250.
MR98h:18005

**C1.**
Kelly GM and Le Creurer IJL

G. M. Kelly, L. J. Le Creurer**:**
On the monadicity over graphs of categories with limits.
*Cahiers de Topologie et Géométrie Différentielle Catégoriques*,
38
(1997),
no.3,
179–191.
MR98e:18002

**C1.**
Kemp R

Rowan Kemp**:**
Tableaux and rank-selection in Fibonacci lattices.
*European Journal of Combinatorics*,
18
(1997),
179–193.
MR98a:05154

**C1.**
Kobayashi M and Kuo TC

Masanori Kobayashi, Tzee-Char Kuo**:**
Uniqueness of unibranched curve in \(\mathbb{R}^2\) up to simple blowings up.
*Proceedings of the Japan Academy*,
73
(1997),
97–99.
MR98i:14055

**C1.**
Koks D, Hu BL, Matacz A and Raval A

Don Koks, B.L.Hu, Andrew Matacz, Alpan Raval**:**
Thermal particle creation in cosmological spacetimes: A stochastic approach.
*Physical Review. D*,
56
(1997),
4905–4915.

**C1.**
Koks D, Matacz A and Hu BL

D. Koks, A. Matacz and B.L. Hu**:**
Entropy and uncertainty of squeezed quantum open systems.
*Physical Review. D*,
55
(1997),
5917–5935.

**C1.**
Ku S

Simon F. Ku**:**
Limited distribution of sample partial autocorrelations: A matrix approach.
*Stochastic Processes and their Applications*,
72
(1997),
121–143.
MR99c:62253

**C1.**
Kuo TC

Tzee-Char Kuo**:**
How to analyse singularities of plane curves.
*Arithmetics - Mathematics*,
17
(1997),
69–76.

**C1.**
Luckock HC

Hugh Luckock**:**
Boundary terms for globally supersymmetric actions.
*International Journal of Theoretical Physics*,
36
(1997),
no.2,
501–507.
MR97m:81045

**C1.**
Ma C

Chunsheng Ma**:**
On the exact likelihood function of a multivariate autoregressive moving average model.
*Biometrika*,
84
(1997),
957–964.
MR99a:62133

**C1.**
Ma C

Chunsheng Ma**:**
A note on stochastic ordering of order statistics.
*Journal of Applied Probability*,
34
(1997),
785–789.
MR99g:62069

**C1.**
Ma C

Chunsheng Ma**:**
Saddlepoint approximations for multinomial distributions, with applications to the joint distribution of order statistics.
*Journal of Statistical Computation and Simulation*,
59
(1997),
33–45.
MR1474179

**C1.**
Maini PK and Myerscough MR

Maini, P.K. and Myerscough, M.R.**:**
Boundary-driven instability.
*Applied Mathematics Letters*,
10
(1997),
1–4.

**C1.**
Matacz A

Andrew Matacz**:**
Inflation and the fine-tuning problem.
*Physical Review. D*,
56
(1997),
1836–1840.

**C1.**
Matacz A

Andrew Matacz**:**
A new theory of stochastic inflation.
*Physical Review. D*,
55
(1997),
1860–1874.

**C1.**
McCrory C and Parusiński A

Clint McCrory and Adam Parusinski**:**
Complex monodromy and the topology of real algebraic sets.
*Compositio Mathematica*,
106
(1997),
no.2,
211–233.
MR98d:14075

**C1.**
McCrory C and Parusiński A

Clint McCrory and Adam Parusinski**:**
Algebraically constructible functions.
*Annales Scientifiques de l'École Normale Supérieure*,
30
(1997),
no.4,
527–552.
MR1456244

**C1.**
Monro GP

Gordon Monro**:**
This is art, not science.
*Leonardo Music Journal*,
7
(1997),
77–80.

**C1.**
Parshall KH and Seneta E

Karen Hunger Parshall and Eugene Seneta**:**
Building an international reputation: the case of J.J.Sylvester(1814-1897).
*American Mathematical Monthly*,
104
(1997),
210–222.
MR97m:01081

**C1.**
Parusiński A and Szafraniec Z

Adam Parusinski and Zbigniew Szafraniec**:**
Algebraically constructible functions and signs of polynomials.
*Manuscripta Mathematica*,
93
(1997),
no.4,
443–456.
MR98d:14070

**C1.**
Paunescu L and Zaharia A

L. Paunescu and A. Zaharia**:**
On the Lojasiewicz exponent at infinity for polynomial functions.
*Kodai Mathematical Journal*,
20
(1997),
no.3,
269–274.
MR98m:32050

**C1.**
Phipps MC

M C Phipps**:**
Small samples and the tilted bootstrap.
*Theory of Stochastic Processes*,
3
(1997),
no.19,
355–362.

**C1.**
Plesken W and Souvignier B

W. Plesken, B. Souvignier**:**
Computing isometries of lattices.
*Journal of Symbolic Computation*,
24
(1997),
no.3/4,
327–334.
MR98i:11047

**C1.**
Quine MP

Quine, M. P.**:**
A calculus-based proof of a Stirling formula for the Gamma function.
*International Journal of Mathematics Education, Science and Technology*,
28
(1997),
914–917.
MR1491305

**C1.**
Ramagge J and Robertson G

Jacqui Ramagge and Guyan Robertson**:**
Factors from Trees.
*Proceedings of the American Mathematical Society*,
125
(1997),
no.7,
2051–2055.

**C1.**
Ramagge J and Robertson G

Jacqui Ramagge and Guyan Robertson**:**
Factors from Buildings.
*Contemporary Mathematics*,
206
(1997),
165–167.

**C1.**
Sekhon LHS, Spence I, Morgan MK and Weber NC

Lali H.S.Sekhon, Ian Spence, Michael K. Morgan, Neville C. Weber**:**
Chronic cerebral hypoperfusion inhibits calcium-induced long-term potentiation in rats.
*Stroke*,
28
(1997),
no.5,
1043–1048.

**C1.**
Sekhon LHS, Spence I, Morgan MK and Weber NC

Lali H.S. Sekhon, Michael K. Morgan, Ian Spence, Neville C. Weber**:**
Chronic cerebral hypoperfusion: pathological and behavioral consequences.
*Journal of Neurosurgery*,
40
(1997),
no.3,
548–556.

**C1.**
Seneta E

E Seneta**:**
M Krawtchouk (1892-1942): Professor of Mathematical Statistics.
*Theory of Stochastic Processes*,
3
(1997),
no.19,
388–392.

**C1.**
Seneta E and Chen TH

Eugene Seneta and Tuhao Chen**:**
A sequentially rejective test procedure.
*Theory of Stochastic Processes*,
3
(1997),
no.19,
393–402.

**C1.**
Sexton MJ, Forbes LK and Gray BF

M J Sexton, L K Forbes and B F Gray**:**
A study of the dynamics of a continuously stirred tank reactor with feedback control of the temperature.
*Dynamics and Stability of Systems*,
12
(1997),
no.2,
89–107.
MR98d:80016

**C1.**
Sidhu HS, Forbes LK and Gray BF

H S Sidhu, L K Forbes and B F Gray**:**
Forced reaction in a CSTR. A comparison between the full system and the reduced model.
*Chemical Engineering Science*,
52
(1997),
no.16,
2667–2676.

**C1.**
Singha N and Peiris MS

N. Singha and M. S. Peiris**:**
A simulation study on vector arma processes with nonstationary innovation: a new approach to identification.
*Journal of Statistical Computation and Simulation*,
58
(1997),
37–58.

**C1.**
Steel A

A. Steel**:**
A new algorithm for the computation of canonical forms of matrices over fields.
*Journal of Symbolic Computation*,
24
(1997),
no.3/4,
409–432.
MR98m:65070

**C1.**
Sun SH and Dhillon A

Shu-Hao Sun and Ajneet Dhillon**:**
Prime spectra of additive categories.
*Journal of Pure and Applied Algebra*,
122
(1997),
no.1-2,
135–157.
MR98i:18005

**C1.**
Voskuil H

H. Voskuil**:**
On the action of the unitary group on the projective plane over a local field.
*Journal of the Australian Mathematical Society*,
(Series A),
62
(1997),
371–397.
MR98c:20093

**C1.**
Waalkens H, Wiersig J and Dullin HR

H. Waalkens, J. Wiersig, and H. R. Dullin**:**
Elliptic quantum billiard.
*Ann. Physics,*,
260
(1997),
50–90.

**C1.**
Weber NC and Kokic PN

N C Weber and P N Kokic**:**
On Cramer's condition for Edgeworth expansions in the finite population case.
*Theory of Stochastic Processes*,
3
(1997),
468–474.

**C1.**
Weber RO, Mercer GN, Sidhu HS and Gray BF

R O Weber, G N Mercer, H S Sidhu and B F Gray**:**
Combustion waves for gases (\(Le=1\)) and solids (\(Le \to \infty\)).
*Royal Society of London. Proceedings*,
453
(1997),
1105–1118.
MR98a:80007

**C1.**
Wilson PR, Burtonclay D and Li Y

P.R.Wilson, D.Burtonclay, Y.Li**:**
The rotational structure of the region below the solar convection zone.
*The Astrophysical Journal*,
489
(1997),
395–402.

**C1.**
Winch DE, Davyskib A and Samsonov VA

D.Winch, A.Davyskib, V.A.Samsonov**:**
Gyroscopic stabilisation of rotating artificial satellites by movable antennas.
*Mathematica Mechanica*,
5
(1997),
69–71.
MR1483300

**C1.**
Zhang RB

Zhang R. B.**:**
Vector coherent state realization of representations of the affine Lie algebra \(\widehat{\mathrm{sl}}(2)\).
*J. Phys. A*,
30
(1997),
no.18,
6545–6551.
MR1483211

**C1.**
Zhang RB

Zhang R. B.**:**
Bott-Borel-Weil construction for quantum supergroup \(U_q({\mathrm{gl}}(m|n))\).
*J. Math. Phys.*,
38
(1997),
no.7,
3863–3884.
MR1455590

**C1.**
Zhang RB

Zhang R. B.**:**
Topological invariants for lens spaces and exceptional quantum groups.
*Lett. Math. Phys.*,
41
(1997),
no.1,
1–11.
MR1455028

**C1.**
Zhang RB

Zhang R. B.**:**
Symmetrizable quantum affine superalgebras and their representations.
*J. Math. Phys.*,
38
(1997),
no.1,
535–543.
MR1424671

**C1.**
Zheligovsky VA and Podvigina OM

Zheligovsky V A and Podvigina O M**:**
An optimized iterative method for numerical solution of large systems of equations based on the extremal property of zeroes of Chebyshev polynomials.
*Journal of Scientific Computing*,
12
(1997),
no.4,
433–464.
MR98m:65096

**C1.**
Zhou DX

Ding-Xuan Zhou**:**
Extendibility of rational matrices..
*J. Approx. Theory*,
88
(1997),
no.2,
#8211;274.
MR1429976

**C1.**
Zhou DX

Ding-Xuan Zhou**:**
Existence of multiple refinable distributions..
*Michigan Math. J.*,
44
(1997),
no.2,
#8211;329.
MR1460417

**C1.**
Zhou DX

Ding-Xuan Zhou**:**
Existence of multiple refinable distributions.
*Michigan Mathematical Journal*,
44
(1997),
329.
MR1460417

**C1.**
Zhou DX, Li BZ and Li S

Ding Xuan Zhou, Bing Zheng Li and Song Li**:**
A Korovkin theorem on approximation by linear operators in the space \(\sigma(L^\infty,L^1)\).
*Acta Math. Appl. Sinica*,
20
(1997),
409–412.
MR1623304

**C4.**
Gastineau-Hills HM

Humphrey Gastineau-Hills**:**
Bach and numerology: 'valid mathemtical stuff'?
*Literature and Aesthetics*,
000
(1997),
000–000.

## Conference Proceedings

**E1.**
Abraham B, Thavaneswaran A and Peiris MS

Bovas Abraham, A. Thavaneswaran and Shelton Peiris
(1997).
On the prediction scheme for some nonlinear time series models using estimating functions.
*Symposium on Estimating Functions*,
*Selected Proceedings of the Symposium on Estimating Functions*,
Ishwar V. Basawa, V.P. Godambe and Robert Taylor (ed.) ,
Lecture Notes - Monograph Series,
Institute of Mathematical Statistics,
259–271.

**E1.**
Cannon JJ and Souvignier B

J. Cannon, B. Souvignier
(1997).
An the computation of conjugacy classes in permutation groups.
*ISSAC 97*,
*Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation*,
Wolfgang W. Kuchlin (ed.) ,
ISSAC 97,
ACM Press (Association for Computing Machinery, Inc.),
ISBN 0 89791 875 4,
392–399.
MR1810005

**E1.**
Cartwright DI

Donald I. Cartwright
(1997).
A brief introduction to buildings.
*Workshop on Harmonic Functions on Graphs*,
*Harmonic functions on trees and buildings*,
Adam Kor´nyi (ed.) ,
Contemporary Mathematics,
American Mathematical Society,
ISBN 0-8218-0605-X,
45–77.
MR98k:51026

**E1.**
Dimca A and Paunescu L

A Dimca and L Paunescu
(1997).
Real singularities and dihedral representations.
*Workshop on real and complex singularities*,
*Proceedings of the International Workshop on Singularities and Topology*,
Maria Aparecida Soares Ruas (ed.) ,
Matematica contemporana,
Sociedade Brasileira De Matematica,
67–82.
MR99g:14070

**E1.**
Katis P, Sabadini N and Walters RFC

P. Katis, N. Sabadini, R.F.C. Walters
(1997).
Span(Graph): A categorical algebra of transition systems.
*AMAST '97*,
*Algebraic Methodology and Software Technology*,
Michael Johnson (ed.) ,
Lecture Notes in Computer Science,
Springer,
ISBN 3-540-63888-1,
307–321.

**E1.**
Katis P, Sabadini N and Walters RFC

P. Katis, N. Sabadini, R.F.C. Walters
(1997).
Representing place/transition nets in Span(Graph).
*AMAST '97*,
*Algebraic Methodology and Software Technology*,
Michael Johnson (ed.) ,
Lecture Notes in Computer Science,
Springer,
ISBN 3-540-63888-1,
322–336.

**E1.**
Kuo TC

Tzee-Char Kuo
(1997).
Some ideas of René Thom and their outcomes.
*Stratifications and Topology of Singular Spaces*,
*Stratifications and Topology of Singular Spaces*,
Editeurs des sciences et des arts (ed.) ,
Travaux en cours,
Hermann,
ISBN 2 7056 6319 3,
73–77.
MR1473243

**E1.**
Lehrer GI

Gus I Lehrer
(1997).
Fourier transforms, nilpotent orbits, Hall polynomials and Green functions.
*Finite Reductive Groups: Related Structures and Representations*,
*Finite Reductive Groups: Related Structures and Representations*,
Marc Cabanes (ed.) ,
Progress in Mathematics,
Birkhauser Boston,
291–309.
MR98b:20074

**E1.**
Meffin H and Gibson WG

Hamish Meffin, William G. Gibson
(1997).
Threshold setting and mean firing rates in networks of spiking integrate-and-fire neurons.
*The Eighth Australian Conference on Neural Networks (ACNN'97)*,
*Proceedings of the Eighth Australian Conference on Neural Networks (ACNN'97)*,
Michael Dale (ed.) ,
Australian Conference on Neural Networks,
Telstra Research Laboratories,
ISBN 0 642 27163 1,
45–49.

**E1.**
Monro GP

Gordon Monro
(1997).
Taming chaotic waveforms.
*Interface 97*,
*Interface 97 Conference Proceedings*,
John Rimmer, John Elmsly (ed.) ,
University of Auckland School of Music,
1–9.

**E1.**
Seneta E

E. Seneta
(1997).
I. J. Bienaymé [1796-1878]: Criticality, inequality, internationalization.
*International Statistical Institute, 51st Session.*,
*Bulletin of the International Statistical Institute*,
(Not given) (ed.) ,
51st Session, Proceedings, Tome LVII, Two Books, Book 1.,
International Statistical Institute,
67–70.

**E1.**
Tortoli P, Berti P, Guidi F, Thompson RS and Aldis GK

P Tortoli, P Berti, F Guidi, R S Thompson and G K Aldis
(1997).
Flow imaging with pulsed Doppler ultrasound: refraction artefacts and dual mode propagation.
*International ultrasonics symposium*,
*Proceedings of 1997 IEEE International Ultrasonics Symposium*,
S C Schneider, M Levy, B R McAvay (ed.) ,
IEEE,
IEEE,
1269–1272.

**E3.**
Coop AD, Gibson WG and Bennett MR

A.D. Coop, W.G. Gibson, M.R. Bennett
(1997).
Analysis of spontaneous hyperpolarizing currents in preganglionic nerve terminals of the parasympathetic neurones in avian ciliary ganglia.
*Australian Neuroscience Society. Seventeenth Annual Meeting*,
*Proceedings of the Australian Neuroscience Society*,
P. Pilowsky (ed.) ,
Australian Neuroscience Society,
**8**,
126.

**E3.**
Fraser WB

W.B. Fraser
(1997).
The theory of yarn plying.
*ANZIAM'97 33rd Australian Applied Mathematics Conference*,
*The 33rd Australian applied Mathematics Conference: AZIAM'97*,
Conference programme and book of Abstracts (ed.) ,
33rd Australian Applied Mathematics Conference,
Australian Math Soc: ANZIAM,
ISBN 0 7259 0869 6,
no pagination.

**E3.**
Gibson WG, Bennett MR and Robinson J

W.G. Gibson, M.R. Bennett, J. Robinson
(1997).
Modelling the evoked release of quanta at active zones: theoretical investigation of the secretosome hypothesis.
*Australian Neuroscience Society. Seventeenth Annual Meeting*,
*Proceedings of the Australian Neuroscience Society*,
P. Pilowsky (ed.) ,
Australian Neuroscience Society,
**8**,
123.

**E3.**
Gibson WG, Robinson J and Bennett MR

W.G. Gibson, J. Robinson, M.R. Bennett
(1997).
Modelling the evoked release of quanta at active zones.
*Fourteenth International Australasian Winter Conference on Brain Research*,
*Abstracts of the Fourteenth International Australasian Winter Conference on Brain Research*,
S. Weinstein (ed.) ,
International Journal of Neuroscience,
Gordon and Breach,
94.

**E3.**
Kearns JL, Lin YQ, Gibson WG and Bennett MR

J.L. Kearns, Y.Q. Lin, W.G. Gibson, M.R. Bennett
(1997).
Extracellular current flow and potential during synaptic transmission from a sympathetic bouton on a pelvic ganglion cell.
*Australian Neuroscience Society. Seventeenth Annual Meeting*,
*Proceedings of the Australian Neuroscience Society*,
P. Pilowsky (ed.) ,
Australian Neuroscience Society,
**8**,
127.