# Research Publications for 2000

## Chapters in Books

**B1.**
Dancer EN

E N Dancer**:**
Degree theory on convex sets and applications to bifurcation,
*Calculus of variations and partial differential equations.*
Topics on geometrical evolution problems and degree theory,
Springer,
Berlin, Heidelberg,
2000,
ISBN 3-540-64803-8,
185–241.
MR2002d:49002

**B1.**
Joshi N

N Joshi**:**
True solutions asymptotic to formal WKB solutions of the second Painlevé equation with large parameter,
*Toward the exact WKB analysis of differential equations, linear or non-linear.*
Kyoto University Press,
Kyoto,
2000,
223–229.
MR2001c:34187

**B1.**
Joshi N

N Joshi**:**
Irregular singular behaviour in the first discrete Painlevé equation,
*SIDE III—Symmetries and Integrability of Difference Equations (Sabaudia, 1998).*
CRM Proc. Lecture Notes,
**255**,
American Mathematical Society,
Providence RI,
2000,
237–243.
MR1771726

## Journal Articles

**C1.**
Adàmek J and Kelly GM

J Adàmek and G M Kelly**:**
M-completeness is seldom monadic over graphs.
*Theory and Applications of Categories*,
7
(2000),
no.8,
171–205.
MR2001f:18003

**C1.**
Almudevar A, Field C and Robinson J

Anthony Almudevar, Chris Field and John Robinson**:**
The density of multivariate M-estimates.
*The Annals of Statistics*,
28
(2000),
275–297.
MR2001e:62013

**C1.**
Ariki S and Mathas A

Susumu Ariki, Andrew Mathas**:**
The number of simple modules of the Hecke algebras of type G(r,1,n).
*Mathematische Zeitschrift*,
233
(2000),
601–623.
MR2001e:20007

**C1.**
Barnes DW

D W Barnes**:**
On the length of the spectral sequence of a Lie algebra extension. II.
*Journal of Algebra*,
234
(2000),
419–422.
MR2001k:17032

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

M.R. Bennett, L. Farnell, W.G. Gibson**:**
The probability of quantal secretion near a single calcium channel of an active zone.
*Biophysical Journal*,
78
(2000),
2201–2221.

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

M.R. Bennett, L. Farnell, W.G. Gibson**:**
The probability of quantal secretion within an array of calcium channels of an active zone.
*Biophysical Journal*,
78
(2000),
2222–2240.

**C1.**
Bennett MR, Farnell L, Gibson WG, Macleod GT and Dickens P

M.R. Bennett, L. Farnell, W.G. Gibson, G.T. Macleod, P. Dickens**:**
Quantal potential fields around individual active zones of amphibian motor-nerve terminals.
*Biophysical Journal*,
78
(2000),
1106–1118.

**C1.**
Bennett MR and Kearns JL

M R Bennett, J L Kearns**:**
Statistics of transmitter release at nerve terminals.
*Progress in Neurobiology*,
60
(2000),
545–606.

**C1.**
Brown G and Móricz F

Gavin Brown, Ferenc Móricz**:**
The Hausdorff and the quasi Hausdorff operators on the spaces \(L^p, 1\le p<\infty\).
*Mathematical Inequalities and Applications*,
3
(2000),
105–115.
MR2000j:47061

**C1.**
Brown G and Yin Q

Gavin Brown and Qinghe Yin**:**
\(\beta\)-transformation, natural extension and invariant measure.
*Ergodic Theory and Dynamical Systems*,
20
(2000),
no.5,
1271–1285.
MR1786714

**C1.**
Buchen PW and Kelly MF

Peter W Buchen, Michael F Kelly**:**
Asset price distributions inferred from linear inverse theory.
*Journal of Computational Finance*,
3
(2000),
53–69.

**C1.**
Buffoni B, Dancer EN and Toland JF

B Buffoni, E N Dancer & J F Toland**:**
The sub-harmonic bifurcation of Stokes waves.
*Archive for Rational Mechanics and Analysis*,
152
(2000),
241–271.
MR2002e:76010b

**C1.**
Buffoni B, Dancer EN and Toland JF

B Buffoni, E N Dancer & J F Toland**:**
The regularity and local bifurcation of steady periodic water waves.
*Archive for Rational Mechanics and Analysis*,
152
(2000),
207–240.
MR2002e:76010a

**C1.**
Cîrstea FC and Rădulescu VD

Florica C. Cîrstea and Vicentiu D. Rădulescu**:**
Multiplicity of solutions for a class of nonsymmetric eigenvalue hemivariational inequalities.
*Journal of Global Optimization*,
17
(2000),
43–54.
MR1807966

**C1.**
Cîrstea FC and Rădulescu VD

F.C. Cîrstea, V. Rădulescu**:**
Existence and non-existence results for a quasilinear problem with nonlinear boundary condition.
*Journal of Mathematical Analysis and Applications*,
244
(2000),
no.1,
169–183.
MR1746795

**C1.**
Cîrstea FC and Rădulescu VD

Florica C. Cîrstea and Vicentiu D. Rădulescu**:**
Multiple solutions of degenerate perturbed elliptic problems involving a subcritical Sobolev exponent.
*Topological Methods in Nonlinear Analysis*,
15
(2000),
no.2,
283–300.
MR2001m:35118

**C1.**
Cîrstea FC and Rădulescu VD

Florica C. Cîrstea and Vicentiu D. Rădulescu**:**
Existence and non-existence results for a quasilinear problem with nonlinear boundary condition.
*Journal of Mathematical Analysis and Applications*,
244
(2000),
no.1,
169–183.
MR2001d:35044

**C1.**
Carey AL, Paolucci A and Zhang RB

A. L. Carey, A. Paolucci and R. B. Zhang**:**
Quantum group actions on the Cuntz algebra..
*Annales Henri Poincaré*,
1
(2000),
no.6,
1097–1122.
MR2001m:17011

**C1.**
Champneys AR and Fraser WB

Alan R Champneys, Barrie Fraser**:**
The 'Indian rope trick' for a parametrically excited flexible rod: linearized analysis.
*Royal Society of London. Proceedings*,
456
(2000),
553–570.
MR2001j:74052

**C1.**
Chan JSK

J S K Chan**:**
Initial stage problem in autogressive binary regression.
*The Statistician*,
49
(2000),
495–502.

**C1.**
Chan JSK

Jennifer So Kuen Chan**:**
Initial stage problem in autoregressive binary regression.
*The Statistician*,
49
(2000),
495–502.

**C1.**
Chen TH and Seneta E

Tuhao Chen and E Seneta**:**
A refinement of multivariate Bonferroni-type inequalities.
*Journal of Applied Probability*,
37
(2000),
no.1,
276–282.
MR2001f:60020

**C1.**
Chiu SN, Quine MP and Stewart M

Chiu, S. N., Quine, M. P. and Stewart, M.**:**
Nonparametric and parametric estimation for a linear birth-growth model.
*Biometrics*,
56
(2000),
755–760.

**C1.**
Chong KS, Cowan R and Holst L

K S Chong, Richard Cowan and Lars Holst**:**
The ruin problem and cover times of asymetric random walks and Brownian motions.
*Advances in Applied Probability*,
32
(2000),
no.1,
177–192.
MR2001g:60193

**C1.**
Cobb RJ

Robin J Cobb**:**
Infra-solvmanifolds of dimension four.
*Bulletin of the Australian Mathematical Society*,
62
(2000),
no.2,
347–349.
MR2001g:57029

**C1.**
Coleman CE and Easdown D

Clare Coleman and David Easdown**:**
Complementation in the group of units of a ring.
*Bulletin of the Australian Mathematical Society*,
62
(2000),
no.2,
183–192.
MR2001g:16063

**C1.**
Corran R

Ruth Corran**:**
A normal form for a class of monoids including the singular braid monoids.
*Journal of Algebra*,
223
(2000),
256–282.
MR2001f:20123

**C1.**
Cosgrove CM

Christopher M. Cosgrove**:**
Higher-order Painlevé equations in the polynomial class I. Bureau symbol P2.
*Studies in Applied Mathematics*,
104
(2000),
1–65.
MR2000m:34204

**C1.**
Cosgrove CM

Christopher M. Cosgrove**:**
Chazy classes IX–XI of third-order differential equations.
*Studies in Applied Mathematics*,
104
(2000),
171–228.
MR2001d:34148

**C1.**
Cox MD and Blanchard GB

Melissa D Cox, Guy B Blanchard**:**
Gaseous templates in ant nests.
*Journal of Theoretical Biology*,
204
(2000),
223–238.

**C1.**
Dancer EN

E N Dancer**:**
A note on asymptotic uniqueness for some nonlinearities which change sign.
*Bulletin of the Australian Mathematical Society*,
61
(2000),
305–312.
MR2001f:35122

**C1.**
Dancer EN

E N Dancer**:**
Infinitely many turning points for some supercritical problems.
*Annali Matematica Pura ed Applicata*,
Serie Quarta,
CLXXVIII
(2000),
225–233.
MR2002g:35077

**C1.**
Dancer EN and Hastings SP

E N Dancer and S P Hastings**:**
On the global bifurcation diagram for the one-dimension Ginzburg-Landau model of superconductivity.
*European Journal of Applied Mathematics*,
11
(2000),
271–291.
MR2002e:82071

**C1.**
Dancer EN and Lopez-Gomez J

E N Dancer and J Lopez-Gomez**:**
Semiclassical analysis of general second order elliptic operators on bounded domains.
*Transactions of the American Mathematical Society*,
352
(2000),
3723–3742.
MR2000m:35136

**C1.**
Dancer EN and Yan S

E N Dancer and Shusen Yan**:**
On the existence of multipeak solutions for nonlinear field equations on R^N.
*Discrete and Continuous Dynamical Systems*,
6
(2000),
39–50.
MR2000k:35081

**C1.**
Dancer EN and Yan S

E N Dancer and Shusen Yan**:**
Singularly perturbed elliptic problems in exterior domains.
*Differential and Integral Equations*,
13
(2000),
747–777.
MR2001c:35022

**C1.**
Dancer EN and Zhang K

E Norman Dancer, Kewei Zhang**:**
Uniqueness of solutions for some elliptic equations and systems in nearly star-shaped domains.
*Nonlinear Analysis. Theory, Methods and Applications*,
41
(2000),
745–761.
MR2001g:35069

**C1.**
Dancer EN and Zhang Z

E N Dancer and Zhitao Zhang**:**
Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary value problems with resonance at infinity.
*Journal of Mathematical Analysis and Applications*,
250
(2000),
449–464.
MR2001m:47135

**C1.**
Daners D

Daniel Daners**:**
Robin boundary value problems on arbitrary domains.
*Transactions of the American Mathematical Society*,
352
(2000),
4207–4236.
MR2000m:35048

**C1.**
Daners D

Daniel Daners**:**
Heat kernel estimates for operators with boundary conditions.
*Mathematische Nachrichten*,
217
(2000),
13–41.
MR2002f:35109

**C1.**
Davis S and Luckock HC

Simon Davis and Hugh Luckock**:**
The effect of higher-order curvature terms on string quantum cosmology.
*Physics Letters. B*,
485
(2000),
no.4,
408–421.
MR2001c:83052

**C1.**
Dimca A and Paunescu L

Alexandru Dimca and Laurentiu Paunescu**:**
On the connectivity of complex affine hypersurfaces, II.
*Topology*,
39
(2000),
no.5,
1035–1043.
MR2001h:32043

**C1.**
Ding C, Kohel DR and Ling S

Cunsheng Ding, David R Kohel and San Ling**:**
Secret-sharing with a class of ternary codes.
*Theoretical Computer Science*,
246 (1-2)
(2000),
285–298.
MR2002g:94040

**C1.**
Ding C, Kohel DR and Ling S

Cunsheng Ding, David R Kohel and San Ling**:**
Split group codes.
*IEEE Transactions on Information Theory*,
46
(2000),
no.2,
485–495.
MR2001d:94040

**C1.**
Ding C, Kohel DR and Ling S

Cunsheng Ding, David Kohel and San Ling**:**
Elementary 2-group character codes.
*IEEE Transactions on Information Theory*,
46
(2000),
no.1,
280–284.
MR2000j:94030

**C1.**
Dritschel DG and Macaskill C

D.G. Dritschel and C. Macaskill**:**
The role of boundary conditions in the simulation of rotating, stratified turbulence.
*Geophysical and Astrophysical Fluid Dynamics*,
94
(2000),
233–253.
MR2001k:76072

**C1.**
Dullin HR and Meiss JD

H. R. Dullin and J. D. Meiss**:**
Generalized Hénon maps: the cubic diffeomorphisms of the plane.
*Physica D*,
143
(2000),
262–289.

**C1.**
Dullin HR, Meiss JD and Sterling DG

H. R. Dullin, J. D. Meiss, and D. G. Sterling**:**
Generic twistless bifurcations.
*Nonlinearity*,
13
(2000),
203–224.

**C1.**
Dullin HR, Sterling DG and Meiss JD

H. R. Dullin, D. G. Sterling, and J. D. Meiss**:**
Self-rotation number for maps of the plane.
*Physica D*,
145
(2000),
25–46.

**C1.**
Fackerell ED and Hartley D

Edward D Fackerell and David Hartley**:**
On Waylen's regular axisymmetric similarity solutions.
*General Relativity and Gravitation*,
32
(2000),
857–864.
MR2001g:83037

**C1.**
Faro E and Kelly GM

Emilio Faro and G M Kelly**:**
On the canonical algebraic structure of a category.
*Journal of Pure and Applied Algebra*,
154 (1-3)
(2000),
159–176.
MR2001f:18012

**C1.**
Fukui T and Paunescu L

Toshizumi Fukui, Laurentiu Paunescu**:**
Modified analytic trivialization for weighted homogeneous function-germs.
*Journal of the Mathematical Society of Japan*,
52
(2000),
433–446.
MR2001a:58060

**C1.**
Gérardin P and Lai KF

P Gérardin, K F Lai**:**
Asymptotic behaviour of eigenfunctions on semi-homogeneous tree.
*Pacific Journal of Mathematics*,
196
(2000),
no.2,
415–427.
MR2001m:31020

**C1.**
Gebhardt V

Volker Gebhardt**:**
Two short presentations for Lyons' sporadic simple group.
*Experimental Mathematics*,
9
(2000),
333 – 338.
MR2001j:20021

**C1.**
Gebhardt V

Volker Gebhardt**:**
Constructing a short defining set of relations for a finite group.
*Journal of Algebra*,
233
(2000),
526–542.
MR2001k:20065

**C1.**
Glaus A and Muller S

Agnes Glaus, Samuel Müller**:**
Haemoglobin und Muedigkeit bei Tumorpatienten: Untrennbare Zwillinge?
*Schweizerische Medizinische Wochenschrift*,
130
(2000),
471–477.

**C1.**
Goodman TNT, Jia RQ and Zhou DX

T. N. T. Goodman, R.-Q. Jia, D.-X. Zhou**:**
Local linear independence of refinable vectors of functions..
*Proc. Roy. Soc. Edinburgh Sect. A*,
130
(2000),
no.4,
#8211;826.
MR1776679

**C1.**
Gottwald GA, Kramer L, Krinsky V, Pumir A and Barelko V

G.A. Gottwald, L. Kramer, V. Krinsky, A. Pumir and V. Barelko**:**
Persistence of zero velocity fronts in reaction diffusion systems.
*Chaos*,
10
(2000),
731–737.
MR2001h:35103

**C1.**
Graham JJ and James GD

John Graham and Gordon James**:**
On a conjecture of Gow and Kleshchev concerning tensor products.
*Journal of Algebra*,
227
(2000),
767–782.
MR2001c:20021

**C1.**
Hayen A and Quine MP

Hayen, A. and Quine, M.P.**:**
The proportion of triangles in a Poisson-Voronoi tessellation of the plane.
*Advances in Applied Probability*,
32
(2000),
67–74.
MR2001h:60019

**C1.**
Hayen A and Quine MP

Hayen, A. and Quine, M.P.**:**
Calculating the proportion of triangles in a Poisson-Voronoi tessellation of the plane.
*Journal of Statistical Computation and Simulation*,
67
(2000),
351–358.
MR1815169

**C1.**
He XZ

Xue-Zhong He**:**
Stability and delays in a predator-prey system. II.
*Dynamics of Continuous, Discrete and Impulsive Systems*,
7
(2000),
no.2,
177–187.
MR1744972

**C1.**
Hermida C

Claudio Hermida**:**
Representable multicategories.
*Advances in Mathematics*,
151
(2000),
no.2,
164–225.
MR2001m:18007

**C1.**
Hillman JA

Jonathan A. Hillman**:**
Complex surfaces which are fibre bundles.
*Topology and its Applications*,
100
(2000),
187–191.
MR2000i:32031

**C1.**
Hillman JA

J.A. Hillman**:**
Virtual surface bundle groups.
*Bulletin of the Australian Mathematical Society*,
62
(2000),
353–356.
MR2001i:57029

**C1.**
Howard JE, Dullin HR and Horányi M

J. E. Howard, H. R. Dullin, and M. Hor´nyi**:**
Stability of halo orbits.
*Phys. Rev. Lett.*,
84
(2000),
3244.

**C1.**
Howlett RB and Shi JY

R B Howlett and Jian-yi Shi**:**
On regularity of finite reflection groups.
*Manuscripta Mathematica*,
102
(2000),
no.3,
325–333.
MR2001f:20081

**C1.**
Ivers DJ, Stening RJ, Turner JPR and Winch DE

D J Ivers, R J Stening, J Turner, and D E Winch**:**
Orsted and Magsat scalar anomaly fields.
*Earth Planets Space*,
52
(2000),
1213–1225.

**C1.**
James GD and Mathas A

Gordon James and Andrew Mathas**:**
The Jantzen sum formula for cyclotomic \(q\)-Schur algebras.
*Transactions of the American Mathematical Society*,
352
(2000),
5381–5404.
MR2001b:16017

**C1.**
Janelidze G and Kelly GM

G Janelidze and G M Kelly**:**
Central extensions in Mal'tsev varieties.
*Theory and Applications of Categories*,
7
(2000),
no.10,
219–226.
MR2001b:08013

**C1.**
Janelidze G and Kelly GM

G Janelidze, G M Kelly**:**
Central extensions in universal algebra: a unification of three notions.
*Algebra Universalis*,
44
(2000),
123–128.
MR2001j:08009

**C1.**
Jongmans F and Seneta E

F Jongmans, E Seneta**:**
Bruges, pépinière de mathématiciens.
*Mathématique et Pédagogie*,
127
(2000),
37–50.

**C1.**
Joshi N, Petersen JA and Schubert L

N Joshi, J Petersen and L Schubert**:**
Nonexistence results for the Korteweg-de Vries and Kadomtsev-Petviashvili equations.
*Studies in Applied Mathematics*,
105
(2000),
361–374.
MR2001h:35160

**C1.**
Kasangian S, Kelly GM and Vighi V

Stefano Kasangian, G Max Kelly, Veronica Vighi**:**
A bicategorical approach to information flow and security.
*Rendiconti del Circolo Matematico di Palermo*,
64
(2000),
99–122.
MR2001j:68034

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

Piergiulio Katis, Nicoletta Sabadini, Robert F C Walters**:**
On the algebra of feedback and systems with boundary.
*Rendiconti del Circolo Matematico di Palermo*,
(2) Supplemento,
64
(2000),
123–156.
MR2002h:93003

**C1.**
Kelly GM and Lack S

G.M. Kelly and Stephen Lack**:**
On the monadicity of categories with chosen colimits.
*Theory and Applications of Categories*,
7
(2000),
148–170.
MR2001c:18002

**C1.**
Kisin M

Mark Kisin**:**
Prime to \(p\) fundamental groups, and tame Galois actions.
*Annales de l'Institut Fourier*,
50
(2000),
1099–1126.
MR2001j:14035

**C1.**
Kisin M

Mark Kisin**:**
Local constancy in families of non-abelian Galois representations.
*Mathematische Zeitschrift*,
233
(2000),
347–363.
MR2001e:14024

**C1.**
Kress JM and Wilson PR

J M Kress, P R Wilson**:**
Simulations of the polar field reversals during cycle 22.
*Solar Physics*,
194
(2000),
1–17.

**C1.**
Kuchel PW, Durrant CJ, Chapman BE, Jarrett PS and Regan DG

Philip W. Kuchel, Christopher J. Durrant, Bogdan E. Chapman, Penelope S. Jarrett, and David G. Regan**:**
Evidence of red cell alignment in the magnetic field of an NMR spectrometer based on the diffusion tensor of water.
*Journal of Magnetic Resonance*,
145
(2000),
291–301.

**C1.**
Lack S

Stephen Lack**:**
A coherent approach to pseudomonads.
*Advances in Mathematics*,
152
(2000),
179–202.
MR2001f:18017

**C1.**
Lai KF and Voskuil H

K.F. Lai, H. Voskuil**:**
\(p\)-adic automorphic functions for the unitary group in three variables.
*Algebra Colloquium*,
7:3
(2000),
335–360.
MR2002c:11059

**C1.**
Lai KF and Vostokov SV

K.F. Lai and S.V. Vostokov**:**
Explicit pairing and class field theory of multidimensional complete fields.
*St. Petersburg Mathematical Journal*,
11
(2000),
no.4,
611–624.
MR1713933

**C1.**
Lehrer GI

Gus Lehrer**:**
Equivariant cohomology of configurations in \(\mathbb{R}^d\).
*Algebras and Representation Theory*,
3
(2000),
377–384.
MR2002c:55025

**C1.**
Luan PG, Lee HC and Zhang RB

Pi-Gang Luan, H. C. Lee and R. B. Zhang**:**
Colored solutions of the Yang-Baxter equation from representations of Uq(gl(2))..
*Journal of Mathematical Physics*,
41
(2000),
no.9,
6529–6543.
MR2001e:17027

**C1.**
Macaskill C

C. Macaskill**:**
Quasi-geostrophic three-dimensional flow in a cylinder.
*Physics Letters. A*,
270
(2000),
132–139.

**C1.**
Martin BMS

B M S Martin**:**
Restrictions of representations of a surface group to a pair of free subgroups.
*Journal of Algebra*,
225
(2000),
no.1,
231–249.
MR2000k:57006

**C1.**
Matsumoto S and Rannard R

Saburo Matsumoto and Richard Rannard**:**
The regular projective solution space of the figure-eight knot complement.
*Experimental Mathematics*,
9
(2000),
no.2,
221–234.
MR2002i:57025

**C1.**
Molev AI

A I Molev**:**
Weight bases of Gelfand-Tsetlin type for representations of classical Lie algebras.
*Journal of Physics. A. Mathematical and General*,
33
(2000),
no.22,
4143–4158.
MR2001b:17016

**C1.**
Molev AI and Olshanski GI

Alexander Molev and Grigori Olshanski**:**
Centralizer construction for twisted Yangians.
*Selecta Mathematica*,
New Series,
6
(2000),
269–317.
MR2002j:17013

**C1.**
Murray SH

Scott H Murray**:**
Conjugacy classes in maximal parabolic subgroups of general linear groups.
*Journal of Algebra*,
233
(2000),
135–155.
MR2002f:20069

**C1.**
Nijhoff FW, Hone ANW and Joshi N

F Nijhoff, A Hone and N Joshi**:**
On a Schwarzian PDE associated with the KdV hierarchy.
*Physics Letters. A*,
267
(2000),
147–156.
MR2001m:37143

**C1.**
Nijhoff FW, Hone ANW and Joshi N

F Nijhoff, A Hone and N Joshi**:**
On the discrete and continuous Miura chain associated with the sixth Painlevé equation.
*Physics Letters*,
264
(2000),
396–406.
MR2000m:37156

**C1.**
Noussair ES and Yan S

Ezzat S Noussair and Shusen Yan**:**
On positive multipeak solutions.
*Journal of the London Mathematical Society*,
62
(2000),
no.1,
213–2277.
MR2001k:35098

**C1.**
Paunescu L and Zaharia A

Laurentiu Paunescu, Alexandru Zaharia**:**
Remarks on the Milnor fibration at infinity.
*Manuscripta Mathematica*,
103
(2000),
351–361.
MR2002d:32049

**C1.**
Phillips CG and Ivers DJ

C.G. Phillips and D.J. Ivers**:**
Spherical anisotropic diffusion models for the Earth's core.
*Physics of the Earth and Planetary Interiors*,
117
(2000),
209–223.

**C1.**
Phipps MC

Mary C Phipps**:**
Power surfaces.
*Mathematical Scientist*,
25
(2000),
1–5.

**C1.**
Quine MP and Szczotka W

Quine, M.P. and Szczotka, W**:**
A general linear birth and growth model.
*Advances in Applied Probability*,
32
(2000),
1–23.
MR2002d:60042

**C1.**
Rylands LJ and Taylor DE

L.J. Rylands and D.E. Taylor**:**
Constructions for octonion and exceptional Jordan algebras.
*Designs, Codes and Cryptography*,
21
(2000),
191–203.
MR2001m:17022

**C1.**
Sandstede B, Balasuriya S, Jones CKRT and Miller PD

Sandstede B, Balasuriya S, Jones C K R T, Miller P**:**
Melnikov theory for finite-time vector fields.
*Nonlinearity*,
13
(2000),
1357–1377.
MR2001h:37046

**C1.**
Seneta E and Chen JT

E Seneta, John T Chen**:**
Multivariate Sobel-Uppuluri-Galambos-type bounds.
*Ukrainian Mathematical Journal*,
52
(2000),
no.9,
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MR2002d:60012

**C1.**
Sexton MJ, Macaskill C and Gray BF

M J Sexton, C Macaskill and B F Gray**:**
Thermal ignition in rectangular and triangular regions.
*ANZIAM Journal (Electronic)*,
42
(2000),
1283–1304.

**C1.**
Snodgrass HB, Kress JM and Wilson PR

H.B. Snodgrass, J.M. Kress and P.R. Wilson**:**
Observations of the polar magnetic fields during the polarity reversals of cycle 22.
*Solar Physics*,
191
(2000),
1–19.

**C1.**
Stamey TA, Raimondo M, Yemoto CM, McNeal JE and Johnstone IM

Thomas A Stamey, Marc Raimondo, Cheryl M Yemoto, John E McNeal, Iain M Johnstone**:**
Effect of ageing on morphologic and clinical predictors of prostate cancer progression.
*The Prostate Journal*,
2
(2000),
157–162.

**C1.**
Stump DM and Fraser WB

D.M. Stump, W.B. Fraser**:**
Multiple solutions for writhed rods:implications for DNA supercoiling.
*Royal Society of London. Proceedings*,
Series A. Mathematical and Physical Sciences,
A456
(2000),
455–467.
MR2001k:74064

**C1.**
Stump DM and Fraser WB

D M Stump, W B Fraser**:**
Bending boundary layers in a moving strip. The theme of solitary waves and localization phenomena in elastic structures.
*Nonlinear Dynamics*,
21
(2000),
55–70.
MR2000m:74063

**C1.**
Stump DM, Watson PJ and Fraser WB

D M Stump, P J Watson, W B Fraser**:**
Mathematical modelling of interwound DNA supercoils.
*Journal of Biomechanics*,
33
(2000),
407–413.

**C1.**
Thompson RS, Tortoli P and Aldis GK

R S Thompson, P Tortoli, G K Aldis**:**
Selective transmission of a focused Doppler ultrasound beam through a plastic layer.
*Ultrasound in Medicine and Biology*,
26
(2000),
1333–1346.

**C1.**
Tillmann S

Stephan Tillmann**:**
On the Kinoshita-Terasaka knot and generalised Conway mutation.
*Journal of Knot Theory and its Ramifications*,
9
(2000),
557–575.

**C1.**
Tsoupros G

George Tsoupros**:**
Radiative contributions to the effective action of self-interacting scalar field on a manifold with boundary.
*Classical and Quantum Gravity*,
17
(2000),
no.11,
2255–2266.
MR2001a:81162

**C1.**
Wang Q, Jing BY and Zhao LC

Wang, Qiying; Jing, Bing-Yi; Zhao, Lincheng**:**
The Berry-Esseen bound for Studentized statistics.
*The Annals of Probability*,
28
(2000),
511–535.
MR2001a:62011

**C1.**
Witte NS, Forrester PJ and Cosgrove CM

N S Witte, P J Forrester, Christopher M Cosgrove**:**
Gap probabilities for edge intervals in finite Gaussian and Jacobi unitary matrix ensembles.
*Nonlinearity*,
13
(2000),
1439–1464.
MR2001m:82038

**C1.**
Wright JJ, Bourke PD and Chapman CL

J J Wright, P D Bourke, C L Chapman**:**
Synchronous oscillation in the cerebral cortex and object coherence: simulation of basic electrophysiological findings.
*Biological Cybernetics*,
83
(2000),
341–353.

**C1.**
Yan S

Shusen Yan**:**
Concentration of solutions for the scalar curvature equation on R^N.
*Journal of Differential Equations*,
163
(2000),
239–264.
MR2001g:35086

**C1.**
Zhang RB

R. B. Zhang**:**
Structure and representations of the quantum supergroup \(\mathop{\rm OSP}q(2|2n)\).
*Journal of Mathematical Physics*,
40
(2000),
no.9,
6639–6656.
MR2001j:20078

**C1.**
Zhou DX

Ding-Xuan Zhou**:**
Multiple refinable Hermite interpolants..
*J. Approx. Theory*,
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8211;71.
MR1736045

**C3.**
Hillman JA

Jonathan A. Hillman**:**
Applications of \(L^2\)-Betti numbers to low dimensional topology.
*Atti Seminario Matematico e Fisico dell'Universita di Modena*,
48
(2000),
259–272.
MR2001g:57056

**C3.**
Monro GP

Gordon Monro**:**
Mathematics service teaching in 2010.
*Australian Mathematical Society Gazette*,
27
(2000),
46–48.

**C4.**
Gibson WG

W.G. Gibson**:**
Small worlds.
*The Physicist*,
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MR1653249

**C4.**
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Gordon Monro**:**
An acousmatic experience.
*Chroma (Newsletter of the Australian Computer Music Association)*,
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(This is a review article. It was also published in eContact!, the electronic newsletter of the Canadian Electroacoustic Community, in issue 3.2 (2000) at http://cec.concordia.ca/econtact/ACMA/AcousmaticExperience.htm)

## Conference Proceedings

**E1.**
Britton S

Sandra Britton
(2000).
Cascades, fountains and showers (The mathematics of juggling).
*Mathematics 2000 festival*,
*Proceedings of the Mathematics 2000 Festival*,
Michael Bulmer, Barry McCrae, Kaye Stacey (ed.) ,
Australian Association of Mathematics Teachers Inc.,
ISBN 1 875900 40 3,
9–14.

**E1.**
Daners D

Daniel Daners
(2000).
Existence and perturbation of principal eigenvalues for a periodic-parabolic problem.
*Nonlinear Differential Equations*,
*Electronic Journal of Differential Equations*,
Stephen Cantrell and Chris Cosner (ed.) ,
Conference 05,
Southwest Texas State University and University of North Texas,
51–67.
MR2001j:35125

**E1.**
Davis S

Simon Davis
(2000).
Higher-derivative quantum cosmology.
*The Second Australasian Conference on General Relativity*,
*Special Issue: Australasian Conference on General Relativity and Gravitation*,
Peter Szekeres and David Blair (ed.) ,
Meeting of the Australasian Society for General Relativity and Gravitation,
Kluwer Academic/Plenum Publishers,
541–551.
MR2001a:83045

**E1.**
Fieker C and Friedrichs C

Claus Fieker, Carsten Friedrichs
(2000).
On reconstruction of algebraic numbers.
*4th International Symposium, ANTS-IV*,
*Algorithmic Number Theory*,
Wieb Bosma (ed.) ,
Lecture Notes in Computer Science,
Springer-Verlag,
ISBN 3 540 67695 3,
285 – 296.
MR2002g:11181

**E1.**
Gérardin P and Lai KF

Paul Gérardin and K F Lai
(2000).
Asymptotic behavior of eigenfunctions for the Hecke algebra on homogeneous trees.
*International Workshop on Special Functions- Asymptotics, Harmonic Analysis and Mathematical Physics*,
*Special Functions: Proceedings of the international workshop*,
Charles Dunkl, Mourad Ismail, Roderick Wong (ed.) ,
Special functions,
World Scientific Publishing Co. Pte. Ltd.,
ISBN 981-02-4393-6,
114–117.
MR2001m:31020

**E1.**
Howlett RB and Zworestine C

Robert B. Howlett and Charles Zworestine
(2000).
On Klyachko's model for the representations of finite general linear groups.
*International Conference on Representation Theory*,
*Representations and Quantizations*,
Jianpan Wang and Zongzhu Lin (ed.) ,
China Higher Education Press (Beijing), and Springer-Verlag (Berlin, Heidelberg),
ISBN 7-04-009073-2,
229–246.
MR2001m:20020

**E1.**
Kohel DR and Shparlinski IE

David R Kohel, Igor E Shparlinski
(2000).
On exponential sums and group generators for elliptic curves over Finite Fields.
*4th International Symposium, ANTS-IV*,
*Algorithmic Number Theory*,
Wieb Bosma (ed.) ,
Lecture Notes in Computer Science,
Springer-Verlag,
ISBN 3 540 67695 3,
395–404.
MR2003c:11094

**E1.**
Kohel DR and Stein WA

David R Kohel, William A Stein
(2000).
Component groups of quotients of J0(N).
*4th International Symposium, ANTS-IV*,
*Algorithmic Number Theory*,
Wieb Bosma (ed.) ,
Lecture Notes in Computer Science,
412,
ISBN 3-540-67695-3,
405.
MR1850621

**E1.**
Kuo TC and Parusiński A

T C Kuo, A Parusinski
(2000).
Newton polygon relative to an arc.
*5th Workshop on Real and Complex Singularities*,
*Real and complex singularities*,
H Brezis, R G Douglas, A Jeffrey (ed.) ,
CRC Research Notes in Mathematics,
Chapman and Hall; CRC Press,
ISBN 1-58488-142-9,
76–93.
MR2000j:32043

**E1.**
Molev AI

Alexander I Molev
(2000).
A weight basis for representations of even orthogonal Lie algebras.
*Combinatorial methods in representation theory*,
Kazuhiko Koike (ed.) ,
Advanced studies in Pure Mathematics,
The mathematical society of Japan,
**28**,
ISBN 4-314-10141-5,
221–240.
MR2002i:17011

**E1.**
Molev AI

A I Molev
(2000).
On Gelfand-Tsetlin bases for representations of classical Lie algebras.
*Formal power series and algebraic combinatorics*,
*Proceedings/FPSAC 00, the 12th international conference*,
Daniel Krob, Alexander A Mikhalev (ed.) ,
Formal power series and algebraic combinatorics,
Springer-Verlag,
ISBN 3-540-67247-8,
300–308.
MR2001k:17014

**E1.**
Monro GP

Gordon Monro
(2000).
Some experiences with algorithms in musical composition.
*Mathematics and Art*,
*Proceedings of the Mathematics and Art Conference, Bond University, Dec. 2000*,
N. de Mestre (ed.) ,
Bond University,
11–19.

**E1.**
Paunescu L

Laurentiu Paunescu
(2000).
On the topology of the fibres of complex polynomials.
*The Fourth International Workshop on Differential Geometry*,
*Proceedings of the fourth international workshop on differential geometry and its applications*,
Professor Gheorghe Pitis, Professor Gheorghe Munteanu (ed.) ,
Transilvania University Press,
ISBN 973-9474-68-3,
222–226.

**E1.**
Phipps MC

Mary C Phipps
(2000).
Exact tests and the mid-p.
*8th International Scientific Krauchuk Conference*,
*VIII International Scientific Krauchuck Conference*,
Institute of Mathematics of National Academy of Science of Ukraine,
ISBN 5 7707 2384 X,
471–475.

**E1.**
Sidhu HS, Sexton MJ, Nelson MI, Mercer GN and Weber RO

Harvider S Sidhu, Mary J Sexton, Mark I Nelson, Geoffry N Mercer and Rodney O Weber
(2000).
A simple combustion process in a semibatch reactor.
*EMAC 2000*,
*EMAC 2000 proceedings*,
R L May, G F Fitz-Gerald, I H Grundy (ed.) ,
Proceedings of the fourth biennial engineering mathematics and applications conference,
RMT University,
ISBN 085825 705 X,
251–254.

**E1.**
Sun SH

Shu-Hao Sun
(2000).
Structure sheaves for additive categories.
*BB Fest 1996: Papers in honour of Bernhard Banaschewski*,
Guillaume Brummer and Christopher Gilmour (ed.) ,
Category theory and its applications to topology,
Kluwer Academic Publishers,
ISBN 0-7923-6519-4,
457–473.
MR2002b:18010

**E1.**
Warren D and Seneta E

Di Warren and Eugene Seneta
(2000).
Hypergeometric polynomial probability generating functions.
*VIII International Scientific Krauchuk Conference*,
*VIII International Scientific Kravchuk Conference*,
Institute of Mathematics of National Academy of Science of Ukraine,
ISBN 5 7707 2384 X,
52–54.

**E2.**
Kuo TC

Tzee-Char Kuo
(2000).
Analytic singularity theory and calculus.
*Mini-Conference on algebraic geometry*,
Fumio Sakai (ed.) ,
Saitama University, Japan,
38–41.

**E2.**
Monro GP

Gordon Monro
(2000).
In-phase corrections for Ambisonics.
*International Computer Music Conference*,
*Proceedings of the International Computer Music Conference, Berlin, 27 Aug - 1 Sept 2000*,
Ioannis Zannos (ed.) ,
International Computer Music Association, San Francisco and the Berliner Kulturveranstaltungs GmbH,
ISBN 0-9667927-2-6,
292–295.

**E3.**
Bennett MR, Farnell L, Gibson WG and Lin YQ

M.R. Bennett, L. Farnell, W. Gibson, Y. Lin
(2000).
Quantal current fields generated in the electrical syncytium of smooth muscle by the release of ATP from sympathetic varicosities.
*Australian Neuroscience Society, Twentieth Annual Meeting*,
*Proceedings of the Australian Neuroscience Society*,
P. Pilowsky (ed.) ,
Proceedings of the Australian Neuroscience Society,
Australian Neuroscience Society,
93.

**E3.**
Lin YQ, Farnell L, Gibson WG and Bennett MR

Y.Q. Lin, L. Farnell, W. Gibson, M.R. Bennett
(2000).
Quantal potential fields around individual boutons in sympathetic ganglia.
*Australian Neuroscience Society, Twentieth Annual Meeting*,
*Proceedings of the Australian Neuroscience Society*,
P. Pilowsky (ed.) ,
Proceedings of the Australian Neuroscience Society,
Australian Neuroscience Society,
159.

**E3.**
Macleod GT, Dickens P, Farnell L, Gibson WG and Bennett MR

G.T. Macleod, P. Dickens, L. Farnell, W. Gibson, M.R. Bennett
(2000).
Quantal potential fields around individual active zones of amphibian motor-nerve terminals.
*Australian Neuroscience Society, Twentieth Annual Meeting*,
*Proceedings of the Australian Neuroscience Society*,
P. Pilowsky (ed.) ,
Proceedings of the Australian Neuroscience Society,
Australian Neuroscience Society,
212.

**E3.**
Raimondo M and Tajvidi N

M. Raimondo and N. Tajvidi
(2000).
Applying extreme value theory to wavelet transforms.
*5th world congress – Bernoulli society*,
*The Institute of Mathematical Statistics Bulletin*,
Dipak Dey (ed.) ,
29,
Institute of Mathematical Statistics,
158.

**E3.**
Woodbury GA

Woodbury G A
(2000).
Correlation models for the development of ocular dominance, simple cells, and retinotopic map on the primary visual cortex.
*The 27th Annual Experimental Psychology Conference*,
*Australian Journal of Psychology*,
William Noble (ed.) ,
Vol 52 (2000) Supplement,
The Australian Psychology Society Ltd,
54.

**E4.**
Cresswell C

Clio Cresswell
(2000).
Monodromy data for the discrete first Painlevé hierarchy.
*SIDEIII (Third meeting on Symmetries and Integrability of Difference Equations)*,
*SIDEIII: Symmetries and Integrability of Difference Equations*,
Decio Levi and Orlando Ragnisco (ed.) ,
CRM Proceedings and Lecture Notes,
American Mathematical Society,
**25**,
ISBN 0821821288,
73–81.
MR1771711