# Research Publications for 2007

## Books

**A1.**
Molev AI

Alexander Molev**:**
*Yangians and Classical Lie Algebras.*
Mathematical Surveys and Monographs, 143,
American Mathematical Society,
Providence, RI,
2007,
ISBN 978-0-8218-4374-1,
400 pages.
MR2355506

**A2.**
Easdown D

David Easdown**:**
*A First Course in Linear Algebra.*
Pearson Education Australia,
Frenchs Forest, NSW,
2007,
ISBN 978 0 7339 9051 9,
247 pages.

## Chapters in Books

**B1.**
Bielecki TR, Crepey S, Jeanblanc M and Rutkowski M

Tomasz R Bielecki, S Crepey, M Jeanblanc and M Rutkowski**:**
Valuation of Basket Credit Derivatives in the Credit Migrations Environment,
*Financial Engineering.*
Handbooks in Operations Research and Management Science,
Elsevier Science,
-,
2007,
ISBN 978-0-444-51781-4,
471–507.

**B1.**
Britton S, New PB, Roberts AL and Sharma MD

Sandra Britton, Peter New, Andrew Roberts and Manjula Sharma**:**
Investigating students' ability to transfer mathematics,
*Transforming a University. The scholarship of teaching and learning in practice.*
Sydney University Press,
Sydney Australia,
2007,
ISBN 978-920898-28-1,
127–140.

**B1.**
Clarkson PA, Joshi N and Mazzocco M

Peter A Clarkson, Nalini Joshi and Marta Mazzocco**:**
The Lax Pair for the MKDV Hierarchy,
*Th'eories asymptotics et equations de Painlev'e.*
Seminaires et Congres,
Societe Mathematique de France,
France,
2007,
ISBN 978-2-85629-229-7,
53–64.

**B1.**
Day BJ and Street RH

Brian Day and Ross Street**:**
Centres of monoidal categories of functors,
*Categories in algebra, geometry and mathematical physics.*
Contemporary Mathematics,
American Mathematical Society,
Providence, Rhode Island,
2007,
ISBN 0821839705,
187–202.
MR2342829

**B1.**
Kelly GM

Maxwell G Kelly**:**
The beginnings of category theory in Australia,
*Categories in algebra, geometry and mathematical physics.*
Contemporary Mathematics,
American Mathematical Society,
Providence, Rhode Island,
2007,
ISBN 0821839705,
1–6.
MR2342820

**B1.**
Kim PS, Lee PP and Levy D

P.S. Kim, P.P. Lee, D. Levy**:**
Mini-transplants for chronic myelogenous leukemia: a modeling perspective,,
*Biology and Control Theory: Current Challenges.*
Lecture Notes in Control and Information Sciences,
Spring-Verlag,
Berlin, Germany,
2007,
ISBN ISSN: 0170-8643,
3–20.

**B1.**
Kitaev AV

Alexander V Kitaev**:**
Remarks towards a classification of \(RS_4^2(3)\)-Transformations and algebraic solutions of the sixth Painlevé equation,
*Théories asymptotics et equations de Painlevé.*
Seminaires et Congres,
Societe Mathematique de France,
France,
2007,
ISBN 978-2-85629-229-7,
199–227.

**B1.**
Seneta E

Eugene Seneta**:**
The Early Years of the Variance-Gamma Process,
*Advances in Mathematical Finance.*
Applied and Numerical Harmonic Analysis,
Birkhauser,
Boston,
2007,
ISBN 978-0-8176-4544-1,
3–19.
MR2359359

## Journal Articles

**C1.**
Abelson D, Hong SH and Taylor DE

David Abelson, Seok-Hee Hong and D E Taylor**:**
Geometric automorphism groups of graphs.
*Discrete and Applied Mathematics*,
155
(2007),
no.17,
2211–2226.
MR2360651

**C1.**
Antony N

Noelle Antony**:**
On parabolic submonoids of a class of singular Artin monoids.
*Journal of the Australian Mathematical Society*,
82
(2007),
no.1,
29–37.
MR2301969

**C1.**
Arendt W and Daners D

Wolfgang Arendt, Daniel Daners**:**
Uniform convergence for elliptic problems on varying domains.
*Mathematische Nachrichten*,
280
(2007),
no.1-2,
28–49.
MR2290380

**C1.**
Badziahin D and Levesley J

Dzmitry Badziahin and Jason Levesley**:**
Convergence results for simultaneous & multiplicative Diophantine approximation on planar curves.
*Glasgow Mathematical Journal*,
49
(2007),
367–375.

**C1.**
Balasuriya S, Gottwald GA, Hornibrook J and Lafortune S

Sanjeeva Balasuriya, Georg Gottwald, John Hornibrook and Stéphane Lafortune**:**
High Lewis number combustion wavefronts: a perturbative Melnikov analysis.
*SIAM Journal on Applied Mathematics*,
67
(2007),
no.2,
464–486.
MR2285873

**C1.**
Barnes DW

Donald W Barnes**:**
On Sikora's spectral sequences.
*Journal of knot theory and its ramifications*,
16
(2007),
no.7,
833–867.
MR2354264

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

M.R. Bennett, L. Farnell, W.G. Gibson, P. Dickens**:**
Mechanisms of calcium sequestration during facilitation at active zones of an amphibian neuromuscular junction.
*Journal of Theoretical Biology*,
247
(2007),
230–241.
MR2312128

**C1.**
Bertram WK and Peiris MS

William K Bertram, M Shelton Peiris**:**
An example of a misclassification problem to Australian equity data.
*Computational Statistics and Data Analysis*,
51
(2007),
3627–3630.
MR2364479

**C1.**
Bielecki TR, Jeanblanc M and Rutkowski M

T R Bielecki, M Jeanblanc and M Rutkowski**:**
Hedging of basket credit derivatives in credit default swap market.
*Journal of Credit Risk*,
3
(2007),
91–132.

**C1.**
Britton S, Daners D and Stewart M

Sandra Britton, Daniel Daners and Michael Stewart**:**
A self-assessment test for incoming students.
*International journal of mathematical education in science and technology*,
38
(2007),
no.7,
861–868.

**C1.**
Brown G, Dai F and Wang KY

Gavin Brown, Feng Dai and Kunyang Wang**:**
On positive cosine sums.
*Mathematical Proceedings of the Cambridge Philosophical Society*,
142
(2007),
219–232.
MR2314596

**C1.**
Brown G, Feng D and Móricz F

G Brown, D Feng, F Móricz**:**
Strong Cesàro Summability of Double Fourier Intergrals.
*Acta Math. Hungar.*,
115
(2007),
no.1-2,
1–12.
MR2316618

**C1.**
Cîrstea FC

F.C. Cîrstea**:**
Elliptic equations with competing rapidly varying nonlinearities and boundary blow-up.
*Advances in Differential Equations*,
12
(2007),
no.9,
995–1030.
MR2351836

**C1.**
Cîrstea FC and Du Y

F.C. Cîrstea, Y. Du**:**
Large solutions of elliptic equations with a weakly superlinear nonlinearity.
*Journal d'Analyse Mathématique*,
103
(2007),
no.1,
261–277.
MR2373270

**C1.**
Cîrstea FC and Du Y

F.C. Cîrstea, Y. Du**:**
Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity.
*Journal of Functional Analysis*,
250
(2007),
317–346.
MR2352483

**C1.**
Cîrstea FC and Rădulescu VD

F.C. Cîrstea, V. Rădulescu**:**
Boundary blow-up in nonlinear elliptic equations of Bieberbach-Rademacher type.
*Transactions of the American Mathematical Society*,
359
(2007),
no.7,
3275–3286.
MR2299455

**C1.**
Carberry E

Emma Carberry**:**
Minimal tori in \(S^3\).
*Pacific Journal of Mathematics*,
233
(2007),
no.1,
41–70.

**C1.**
Carls R

Robert Carls**:**
Canonical coordinates on the canonical lift.
*Journal of Ramanujan Mathematical Society*,
22
(2007),
no.1,
1–14.
MR2312545

**C1.**
Cartwright DI and Woess W

Donald Cartwright and Wolfgang Woess**:**
The spectrum of the averaging operator on a network (metric graph).
*Illinois journal of mathematics*,
51
(2007),
no.3,
805–830.
MR2379723

**C1.**
Cavalier L and Raimondo M

Laurent Cavalier and Marc Raimondo**:**
Wavelet deconvolution with noisy eigenvalues.
*IEEE Transactions on Signal Processing*,
55
(2007),
no.6,
2414–2424.

**C1.**
Chan JSK, Choy STB and Lee ABW

Jennifer S.K. Chan, S.T. Boris Choy and Anna B.W. Lee**:**
Bayesian analysis of constant elasticity of variance models.
*Applied Stochastic Models in Business and Industry*,
23
(2007),
83–96.
MR2344607

**C1.**
Cheng SJ, Wang W and Zhang RB

Shun-Jen Cheng, Weigiang Wang, R B Zhang**:**
A Fock space approach to representation theory of osp(2|2n).
*Transformation Groups*,
12
(2007),
no.2,
209–225.
MR2323682

**C1.**
Chesebro E and Tillmann S

Stephan Tillmann and Eric Chesebro**:**
Not all boundary slopes are strongly detected by the character variety.
*Communications in Analysis and Geometry*,
15
(2007),
695–723.

**C1.**
Cohen AM and Taylor DE

Arjeh M. Cohen and D. E. Taylor**:**
On a certain Lie algebra defined by a finite group.
*American Mathematical Monthly*,
114
(2007),
no.7,
633–639.
MR2341327

**C1.**
Cowan R

Richard Cowan**:**
Identities linking volumes of convex hulls.
*Advances in Applied Probability*,
39
(2007),
no.3,
630–640.

**C1.**
Crooks ECM, Dancer EN and Hillhorst D

E C M Crooks, E N Dancer and D Hillhorst**:**
Fast reaction limit and long time behavior for a competition-diffusion system with Dirichlet boundary conditions.
*Discrete and Continuous Dynamical Systems Series B*,
8
(2007),
no.1,
39–44.

**C1.**
Cushman R, Dullin HR, Hanßmann H and Schmidt S

R. Cushman, H.R. Dullin, H. Hanßmann, S. Schmidt**:**
The \(1\colon\pm2\) resonance.
*Regul. Chaotic Dyn.*,
12
(2007),
642–663.

**C1.**
Dancer EN

E N Dancer**:**
Conley indices on covex sets, attractor-repeller pairs and applications to multiple solutions of nonlinear elliptic equations.
*Journal of Fixed Point Theory and Applications*,
1
(2007),
47–60.
MR2282343

**C1.**
Dancer EN

E N Dancer**:**
Supercritical finite Morse index solutions.
*Nonlinear Analysis*,
66
(2007),
no.1,
268–269.
MR2271654

**C1.**
Dancer EN

E N Dancer**:**
Domain variation and non-uniqueness of homoclinic solutions of some partial differential equations on strips.
*Journal of Dynamics and Differential Equations*,
19
(2007),
no.3,
709–718.
MR2350244

**C1.**
Dancer EN, Ren X and Yan S

Edward Norman Dancer, Xiaofeng Ren and Shusen Yan**:**
On multiple radial solutions of a singularly perturbed nonlinear elliptic system.
*SIAM Journal of Mathematical Analysis*,
38
(2007),
no.6,
2005–2041.
MR2299439

**C1.**
Dancer EN and Santra S

E N Dancer and Sanjiban Santra**:**
On the Superlinear Lazer-McKenna conjecture: the non-homogeneous case.
*Advances in differential equations*,
12
(2007),
no.9,
961–993.
MR2351835

**C1.**
Dancer EN and Wei J

E N Dancer and Juncheng Wei**:**
Sign-changing solutions for supercritical elliptic problems in domains with small holes.
*Manuscripta Mathematica*,
123
(2007),
no.4,
493–454.

**C1.**
Dancer EN and Yan S

E N Dancer and Shusen Yan**:**
A new type of concentration solutions for a singularly perturbed elliptic problem.
*Transactions of the American mathematical society*,
359
(2007),
no.4,
1765–1790.
MR2272148

**C1.**
Dancer EN and Yan S

E N Dancer and Shusen Yan**:**
Remarks on the existence of many solutions of certain nonlinear elliptic equations.
*Bolletino U.M.I.*,
8
(2007),
no.10 (B),
1013–1023.

**C1.**
Daners D and Kennedy JB

Daniel Daners, James Kennedy**:**
Uniqueness in the Faber–Krahn inequality for Robin problems.
*SIAM Journal on Mathematical Analysis*,
39
(2007),
no.4,
1191–1207.
MR2368899

**C1.**
Davison CM and Dullin HR

C.M. Davison, H.R. Dullin**:**
Geodesic flow on three dimensional ellipsoids with equal semi-axes.
*Regul. Chaotic Dyn.*,
12
(2007),
172–197.

**C1.**
Davison CM, Dullin HR and Bolsinov AV

C.M. Davison, H.R. Dullin, A.V. Bolsinov**:**
Geodesics on the Ellipsoid and Monodromy.
*J. Geom. Phys.*,
57
(2007),
2437–2454.

**C1.**
Dullin HR, Schmidt S, Richter PH and Großmann S

H. R. Dullin, S. Schmidt, P. H. Richter, and S. Großmann**:**
Extended Phase Diagram of the Lorenz Model.
*Int. J. Bif. Chaos*,
17
(2007),
3013–3033.

**C1.**
Dullin HR and Vu Ngoc S

H.R. Dullin, Vu Ngoc S**:**
Symplectic Invariants near Hyperbolic-Hyperbolic Points.
*Regul. Chaotic Dyn.*,
12
(2007),
689–716.

**C1.**
East J

James East**:**
Braids and partial permutations.
*Advances in Mathematics*,
213
(2007),
no.1,
440–461.
MR2331250

**C1.**
East J

James East**:**
Vines and partial transformations.
*Advances in Mathematics*,
216
(2007),
no.2,
787–810.
MR2351378

**C1.**
Ewald CO, McNamara J and Houston J

C O Ewald, J McNamara, J Houston**:**
Parental care as a differential game: A dynamic extension of the Houston-Davies game.
*Applied Mathematics and Computations*,
190
(2007),
no.2,
1450–1465.

**C1.**
Falconer I, Gottwald GA, Melbourne I and Wormnes K

Ian Falconer, Georg A. Gottwald, Ian Melbourne, and Kjetil Wormnes**:**
Application of the 0-1 Test for Chaos to Experimental Data.
*SIAM Journal on Applied Dynamical Systems*,
6
(2007),
no.2,
395–402.
MR2318660

**C1.**
Fieker C

Claus Fieker**:**
Sparse representation for cyclotomic fields.
*Experimental Mathematics*,
16
(2008),
no.4,
493–500.

**C1.**
Fieker C and de Graaf W

Claus Fieker and Willem de Graaf**:**
Finding integral linear dependencies of algebraic numbers and algebraic Lie algebras.
*London Mathematical Society Journal of Computational Mathematics*,
10
(2007),
271–287.

**C1.**
Field CM

Chris M Field**:**
Extension of the Adler-Bobenko-Suris classification of integrable lattice-equations.
*Journal of Physics A: Mathematical and Theoretical*,
40
(2007),
F589–F600.
MR2369949

**C1.**
Field CM and Ormerod CM

Chris M. Field and Chris M. Ormerod**:**
An Ultradiscrete Matrix Version of the Fourth Painlevé Equation.
*Advances in Difference Equations*,
2007
(2007),
12.

**C1.**
Finlay R and Seneta E

Richard Finlay and Eugene Seneta**:**
A Gamma activity time process with noninteger parameter and self-similar limit.
*Journal of Applied Probability*,
44
(2007),
no.3,
950–959.
MR2382937

**C1.**
Fisher NI, Cribb JHJ and Peacock AJ

N J Fisher, J H J Cribb and A J Peacock**:**
Reading the public mind: a novel approach to improving the adoption of new science and technology.
*Australian Journal of Experimental Agriculture*,
47
(2007),
1262–1271.

**C1.**
Fung T and Seneta E

Thomas Fung, Eugene Seneta**:**
Tailweight, quantiles and kurtosis: A study of competing distributions.
*Operations Research Letters*,
35
(2007),
448–454.
MR2333314

**C1.**
Ghoussoub N and Tzou L

N. Ghoussoub, L. Tzou**:**
Anti-selfdual Lagrangians II: Unbounded non self-adjoint operators and evolution equations.
*Annali di Matematica pura ed Applicata*,
187
(2007),
619–653.

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

William G. Gibson, Les Farnell, Max R. Bennett**:**
A computational model relating changes in cerebral blood volume to synaptic activity in neurons.
*Neurocomputing*,
70
(2007),
1674–1679.

**C1.**
Gottwald GA

G.A. Gottwald**:**
Dispersive regularizations and numerical discretizations for the inviscid Burgers.
*J Phys A*,
40
(2007),
no.49,
14745–14758.
MR2441872

**C1.**
Gottwald GA, Oliver M and Tecu N

G.A. Gottwald, M. Oliver and N. Tecu**:**
Long-time accuracy for approximate slow manifolds in a finite dimensional model of balance.
*Journal of Nonlinear Science*,
17
(2007),
no.4,
283–307.
MR2335123

**C1.**
Gow L

Lucy Gow**:**
Gauss decomposition of the Yangian \(Y(\mathfrak{gl}_{m|n})\).
*Communications in Mathematical Physics*,
276
(2007),
no.3,
799–825.
MR2350438

**C1.**
Hay M

Mike Hay**:**
Hierarchies of nonlinear integrable q-difference equations from series of Lax pairs.
*Journal of Physics: Mathematical and Theoretical*,
40
(2007),
10457–10471.
MR2371129

**C1.**
Hay M, Hietarinta J, Joshi N and Nijhoff FW

Mike Hay, Jarmo Hietarinta, Nalini Joshi and Frank Nijhoff**:**
A Lax pair for a lattice modified KdV equation, reductions to \(q\)-Painlevé equations and associated Lax pairs.
*Journal of Physics A: Mathematical and Theoretical*,
40
(2007),
no.2,
F61–F73.
MR2303490

**C1.**
Henderson A

Anthony Henderson**:**
Induced characters of the projective general linear group over a finite field.
*Journal of Algebra*,
307
(2007),
no.1,
116–135.
MR2278045

**C1.**
Henderson A

Anthony Henderson**:**
Nilpotent orbits of linear and cyclic quivers and Kazhdan-Lusztig polynomials of type A.
*Representation Theory*,
11
(2007),
95–121.
MR2320806

**C1.**
Hillman JA

J.A.Hillman**:**
On 4-manifolds with zero-entropy metrics.
*Bulletin of the London Mathematical Society*,
39
(2007),
327–328.
MR2323466

**C1.**
Hillman JA

Jonathan A Hillman**:**
Geometries and infrasolvmanifolds in dimension 4.
*Geom Dedicata*,
129
(2007),
57–72.
MR2353982

**C1.**
Hillman JA and Kochloukova DH

J.A.Hillman, D.H.Kochloukova**:**
Finiteness conditions and \(PD_r\)-group covers of \(PD_n\)-complexes.
*Mathematische Zeitschrift*,
256
(2007),
45 – 56.
MR2282258

**C1.**
Houdré C and Kawai R

Christian Houdré and Reiichiro Kawai**:**
On layered stable processes.
*Bernoulli*,
13
(2007),
no.1,
252–278.

**C1.**
Hu Z, Petrov VV and Robinson J

Zhishui Hu, Valentin V Petrov and John Robinson**:**
On large deviations of sums of independent random variables.
*Communications in Statistics - Theory and Methods*,
36
(2007),
no.10,
1981–1992.
MR2396550

**C1.**
Hu Z, Robinson J and Wang Q

Zhishui Hu, John Robinson and Qiying Wang**:**
Cramer_Type Large Deviations for Samples from a Finite Population.
*The Annals of Statistics*,
35
(2007),
no.2,
673–696.
MR2336863

**C1.**
Hu Z, Robinson J and Wang Q

Zhishui Hu, John Robinson and Qiying Wang**:**
Edgeworth expansions for a sample sum from a finite set of independent random variables.
*The Electronic Journal of Probability*,
12
(2007),
1402–1417.
MR2354163

**C1.**
Jayaswal V, Robinson J and Jermiin LS

Vivek Jayaswal, John Robinson and Lars Jermiin**:**
Estimation of Phylogeny and Invariant Sites under the General Markov Model of Nucleotide Sequence Evolution.
*Systematic Biology*,
56
(2007),
no.2,
155–162.

**C1.**
Joshi N, Kitaev AV and Treharne PA

N. Joshi, A. V. Kitaev and P. A. Treharne**:**
On the linearization of the Painlevé III–VI equations and reductions of the three-wave resonant system.
*Journal of Mathematical Physics*,
48
(2007),
no.10,
103512 (42pp).

**C1.**
Joshi N and Ormerod CM

Nalini Joshi and Chris Ormerod**:**
The general theory of linear difference equations over the max-plus semiring.
*Studies in Applied Mathematics*,
118
(2007),
85–97.
MR2283569

**C1.**
Kawai R

Reiichiro Kawai**:**
Adaptive Monte Carlo variance reduction with two-time-scale stochastic approximation.
*Monte Carlo Methods and Applications*,
13
(2007),
no.3,
197–217.

**C1.**
Keich U and Ng P

U Keich, P Ng**:**
A conservative parametric approach to motif significance analysis.
*Genome Informatics*,
19
(2007),
61–72.

**C1.**
Kerkyacharian G, Picard D and Raimondo M

Gerard Kerkyacharian, Dominique Picard, Marc Raimondo**:**
Adaptive boxcar deconvolution on full Lebesgue measure sets.
*Statistica Sinica*,
17
(2007),
no.1,
317–340.
MR2352512

**C1.**
Kim PS, Lee PP and Levy D

P.S. Kim, P.P. Lee, D. Levy**:**
Modeling regulation mechanisms in the immune system.
*Journal of Theoretical Biology*,
246
(2007),
no.1,
33–69.

**C1.**
Kolassa JE and Robinson J

John E Kolassa, John Robinson**:**
Conditional saddlepoint approximations for non-continuous and non-lattice distributions.
*Journal of Statistical Planning and Inference*,
137
(2007),
no.1,
133–147.
MR2292846

**C1.**
Kułik R

Rafal Kulik**:**
Bahadur-Kiefer theory for sample quantiles of weakly dependent linear processes.
*Bernoulli: a journal of mathematical statistics and probability*,
13
(2007),
no.4,
1071–1090.
MR2364227

**C1.**
Kułik R and Wichelhaus C

Rafal Kulik and Cornelia Wichelhaus**:**
Dependence in lag for markov chains on partially ordered state spaces with applications to degradable networks.
*Stochastic models*,
23
(2007),
no.4,
683–696.
MR2362703

**C1.**
Lai KF and Vostokov SV

K F Lai and S V Vostokov**:**
The Kneser relation and the Hilbert pairing in multidimensional local field.
*Mathematische Nachrichten*,
280
(2007),
no.16,
1–18.

**C1.**
Large MCJ, Manos S and Poladian L

M C J Large, S Manos and L Poladian**:**
The uses of diversity: non-crystalline arrays in microstructured optical fibres.
*Journal of Optical and Quantum Electronics*,
Online
(2007),
1–12.

**C1.**
Large MCJ, Wickham S, Hayes J and Poladian L

M C J Large, S Wickham, J Hayes and L Poladian**:**
Insights from nature: Optical biomimetics.
*Physica B*,
394
(2007),
229–232.

**C1.**
Lehrer GI and van Hamel J

G I Lehrer and J van Hamel**:**
Euler characteristics of the real points of certain varieties of algebraic tori.
*Proceedings of the London Mathematical Society*,
94
(2007),
no.3,
715–748.
MR2325318

**C1.**
Lwin R, Barton GW, Harvey L, Harvey J, Manos S, Large MCJ, Poladian L, Bachmann A, Poisel H and Klein KF

R Lwin, G Barton, L Harvey, J Harvey, S Manos, MCJ Large, L Poladian, A Bachmann, H Poisel, K F Klein**:**
Beyond the bandwidth-length product: Graded index microstructured polymer optical fiber.
*Applied Physics Letters*,
91
(2007),
no.19,
191119–1.

**C1.**
Lyle SL

Sinéad Lyle**:**
Some \(q\)-analogues of the Carter-Payne theorem.
*Journal für die Reine und Angewandte Mathematik*,
608
(2007),
93–121.
MR2339470

**C1.**
Lyle SL and Mathas A

Sinéad Lyle and Andrew Mathas**:**
Blocks of cyclotomic Hecke algebras.
*Advances in Mathematics*,
216
(2007),
no.2,
854–878.
MR2351381

**C1.**
Menon SN and Gottwald GA

Shakti N. Menon and Georg A. Gottwald**:**
Bifurcations of flame filaments in chaotically mixed combustion reactions.
*Physical Review. E*,
75
(2007),
016209.
MR2324657

**C1.**
Midgley DJ, Saleeba JA, Stewart M and Gee PAM

DJ Midgley, JA Saleeba, MI Stewart, PA McGee**:**
Novel soil lineages of Archaea are present in semi-arid soils of eastern Australia.
*Canadian Journal of Microbiology*,
53
(2007),
no.1,
129–138.

**C1.**
Midgley DJ, Saleeba JA, Stewart M, Simpson AE and Gee PAM

DJ Midgley, JA Saleeba, MI Stewart, AE Simpson, PA McGee**:**
Molecular diversity of soil basidiomycete communities in northern-central New South Wales, Australia.
*Mycological Research*,
111
(2007),
no.3,
370–378.

**C1.**
Murray SH

Scott H. Murray**:**
Representations of parabolic and Borel subgroups.
*Communications in Algebra*,
35
(2007),
no.2,
455–459.
MR2294610

**C1.**
Myerscough MR and Perdriau BS

B S Perdriau and M R Myerscough**:**
Making good choices with variable information: a stochastic model for nest-site selection by honeybees.
*Biology Letters*,
3
(2007),
140–143.

**C1.**
Olver S

Olver, S.**:**
Moment-free numerical approximation of highly oscillatory integrals with stationary points.
*European Journal of Applied Mathematics*,
18
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435–447.

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Olver S

Olver, S.**:**
Numerical approximation of vector-valued highly oscillatory integrals.
*BIT Numerical Mathematics*,
47
(2007),
637–655.

**C1.**
Ormerod CM

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Connection matrices for ultradiscrete linear problems.
*Journal of Physics: Mathematical and Theoretical*,
40
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12799–12809.
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Papadima S and Paunescu L

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Closed Manifolds Coming From Artinian Complete Intersections.
*Transactions of the American Mathematical Society*,
359
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2777–2786.
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Parkinson J

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Isotropic random walks on affine buildings.
*Annales de l'Institut Fourier (Grenoble)*,
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379–419.
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Peiris MS, Ng KH and Ibrahim IM

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A Review of Recent Developments of Financial Time Series: ACD Modelling using the Estimating Function Approach.
*Sri Lankan Journal of Applied Statistics*,
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An introduction to volatility models with indices.
*Applied Mathematics Letters*,
20
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Phipps MC and Byron PM

Mary C Phipps and Peter M Byron**:**
A filter for "confidence interval P-values".
*Computational Statistics and Data Analysis*,
51
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6435–6446.
MR2408605

**C1.**
Poladian L and Rigozzi M

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Explicit effective elastic moduli for anisotropic triply periodic frame networks.
*Physica B*,
394
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285–288.

**C1.**
Prince T and Weber NC

Thomas Prince and Neville Weber**:**
Fixation in conditional branching process models in population genetics.
*Journal of Applied Probability*,
44
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1103–1110.
MR2382949

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Raimondo M and Stewart M

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The WaveD transform in R: performs fast translation-invariant wavelet deconvolution.
*Journal of Statistical Software*,
21
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Roberts AL, Sharma MD, Britton S and New PB

A.L.Roberts, M.D.Sharma, S.Britton, P.B.New**:**
An index to measure the ability of first year science students to transfer mathematics.
*International Journal of Mathematical Education in Science and Technology*,
38
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429–448.

**C1.**
Rubin J and Wechselberger M

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Giant Squid - Hidden Canard: the 3D Geometry of the Hodgkin Huxley Model.
*Biological Cybernetics*,
97
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5–32.
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**C1.**
Rutkowski M and Yousiph K

M Rutkowski and K Yousiph**:**
PDE approach to the valuation and hedging of basket credit derivatives.
*International journal of theoretical and applied finance*,
10
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1261–1285.

**C1.**
Rutkowski M and Yu N

M Rutkowski and N Yu**:**
An extension of the Brody-Hughston-Macrina approach to modeling of defaultable bonds.
*International journal of theoretical and applied finance*,
10
(2007),
557–589.

**C1.**
Stam FJ, Macgillavry HD, Armstrong NJ, Gunst MC, Zhang Y, Kesteren RE, Smit AB and Verhaagen J

F.J. Stam, H.D. Macgillavry, N.J. Armstrong, M.C. de Gunst, Y. Zhang, R.E. van Kesteren, A.B. Smit and J. Verhaagen**:**
Identification of candidate transcriptional modulators involved in successful regeneration after nerve injury.
*European Journal of Neuroscience*,
25
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no.12,
3629–3637.

**C1.**
Su Y and Zhang RB

Yucai Su and Ruibin Zhang**:**
Character and dimension formulae for general linear superalgebra.
*Advances in Mathematics*,
211
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no.1,
1–33.
MR2313526

**C1.**
Su Y and Zhang RB

Yucai Su and Ruibin Zhang**:**
Cohomology of Lie SuperAlgebras \(\mathrm{SL}_{m|n}\) and \(\mathrm{OSP}_{2|2n}\).
*Proceedings of the London Mathematical Society*,
94
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no.1,
91–136.
MR2293466

**C1.**
Tang ZX, Fraser WB and Wang X

Zhengxue Tang, W Barrie Fraser and Xungai Wang**:**
Modelling yarn balloon motio in ring spinning.
*Applied Mathematical Modelling*,
31
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1397–1410.

**C1.**
Thomas A

Anne Thomas**:**
On the set of covolumes of lattices for Fuchsian buildings.
*C. R. Acad. Sci. Paris, Ser. I*,
344
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215–218.

**C1.**
Thomas A

Anne Thomas**:**
Covolumes of uniform lattices acting on polyhedral complexes.
*Bull. London Math. Soc.*,
39
(2007),
103–111.

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Treharne PA and Fokas AS

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Initial-boundary value problems for linear PDEs with variable coefficients.
*Mathematical Proceedings of the Cambridge Philosophical Society*,
143
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no.1,
221–242.
MR2340985

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Regular daily variations in satellite magnetic total intensity data.
*Annales Geophysicae*,
25
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2167–2174.

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Vidunas R and Kitaev AV

Raimundas Vidunas and Alexander V Kitaev**:**
Quadratic transformations of the sixth Painlevé equation with application to algebraic solutions.
*Mathematische Nachrichten*,
280
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1834–1855.
MR2365021

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Wechselberger M

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*Scholarpedia*,
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1356.

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Wilcox S

Stewart Wilcox**:**
Cellularity of diagram algebras as twisted semigroup algebras.
*Journal of Algebra*,
309
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no.1,
10–31.
MR2301230

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Williams E, Xiao YY, Sickles H, Shafer P, Yona G, Yang YH and Lin F

E Williams, Y Xiao, H Sickles, P Shafer, G Yona, J Yang, D Lin**:**
Novel subdomains of the mouse olfactory bulb defined by molecular heterogeneity in the nascent external plexiform and glomerular.
*BMC Development Biology*,
7
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no.48,
1.

**C1.**
Winn VD, Haimov-Kochman R, Paquet AC, Yang YH, Madhusudhan MS, Gormley M, Feng KT, Bernlohr DA, McDonagh S, Pereira L, Sali A and Fisher SJ

Winn, V.D., Haimov-Kochman, R., Paquet, A.C., Yang, Y.J., Madhusudhan, M.S.,Gormley, M., Feng, K.T., Bernlohr, D.A., McDonagh, S., Pereira, L., Sali, A. and Fisher,S.J.**:**
Gene expression profiling of the human maternal-fetal interface reveals dramatic changes between midgestation and term.
*Endocrinology*,
148
(2007),
no.3,
1059–79.

**C1.**
Woodruff PG, Boushey HA, Dolganov GM, Barker CS and Yang YH

Woodruff P.G., Boushey H.A., Dolganov G.M, Barker C.S., Yang Y.H.,**:**
Genome-wide profiling identifies epithelial cell genes associated with asthma and with treatment response to corticosteroids.
*PNAS*,
104
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no.40,
15858–15863.

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Xiao YY, Segal MR, Yang YH and Yeh RF

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A multi-array multi-SNP genotyping algorithm for Affymetrix SNP microarray.
*Bioinformatics*,
23
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no.12,
1459–1467.

**C1.**
Xue SC, Lwin R, Barton GW, Poladian L and Large MCJ

Xue, S. C.; Lwin, R.; Barton, G. W.; Poladian, L.; Large, M. C. J.**:**
Transient Heating of PMMA Preforms for Microstructured Optical Fibers.
*Journal of Lightwave Technology*,
25
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no.5,
1177–1183.

**C1.**
Xue SC, Poladian L, Barton GW and Large MCJ

S C Xue, L Poladian, G W Barton, MC J Large**:**
Radiative heat transfer in preforms for microstructured optical fibres.
*International Journal of Heat and Mass Transfer*,
50
(2007),
no.7-8,
1569–1576.

**C1.**
Xulvi-Brunet R and Sokolov IM

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Growing networks under geographical constraints.
*Physical Review. E*,
75
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046117.

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Yang W, Zhang Y and Liu X

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Free field realization of current superalgebra \(\mathrm{gl}(m|n)_{k}\).
*Journal of Mathematical Physics*,
48
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053514.
MR2329876

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Yu PLH, Chung KH, Lee CK, Lin F and Chan JSK

P L H Yu, K H Chung, C K Lee, C K Lin, J S K Chan**:**
Predicting potential drop-out and future commitment for first time donors based on first one and a half years donation patterns: the case in Hong Kong Chinese Donors.
*Vox Sanguinis*,
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57–63.

**C1.**
Zhang A, Korn R and Ewald CO

A Zhang, R Korn, C O Ewald**:**
Optimal management and inflation protection for defined contribution pension plans.
*Blaetter der DGFVM*,
28
(2007),
no.2

**C1.**
Zhang A, Korn R and Ewald CO

Aihua Zhang, Ralf Korn, Christian-Oliver Ewald**:**
Optimal management and inflation protection for defined contribution pension plans.
*Blatter der DGVFM*,
28
(2007),
239–258.

**C1.**
Zhang X, Wang RYX, Cox FM, Kuhlmey BT and Large MCJ

X. Zhang, R. Wang, F. M. Cox, B. T. Kuhlmey and M. C. J. Large**:**
Selective coating of holes in microstructured optical fiber and its application to in-fiber absorptive polarizers.
*Optics express*,
15
(2007),
no.24,
16270–16278.

**C1.**
Zhi D, Keich U, Pevzner PA, Heber S and Tang H

D Zhi, U Keich, P Pevzner, S Heber, H Tang**:**
Checking for base-calling errors in repeats.
*IEEE/ACM Transactions on computational biology and bioinformatics*,
4
(2007),
no.1,
54–64.

**C2.**
Benzi M, Benzi M and Seneta E

Marghherita Benzi, Michele Benzi and Eugene Seneta**:**
Francesco Paolo Cantelli.
*International Statistical Review*,
75
(2007),
no.2,
127–130.

**C2.**
Carberry E

Emma Carberry**:**
Letters to a Young Mathematician.
*The Notices of the American Mathematical Society*,
54
(2007),
no.5,
629–630.

**C3.**
Miura RM, Ablowitz MJ, Costin O, Joshi N, Kulsrud R and Zabusky NJ

Robert M. Miura, Mark J. Ablowitz, Ovidiu Costin, Nalini Joshi, Russell Kulsrud, Norman J. Zabusky**:**
Obituaries: Martin David Kruskal.
*SIAM News*,
40
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no.3

**C4.**
Winch DE

Denis Winch**:**
Harmonics, Spherical.
*Encyclopedia of Geomagnetism and Paleomagnetism*,
(2007),
377–394.

**C4.**
Winch DE

Denis Winch**:**
Periodic External Fields.
*Encyclopedia of Geomagnetism and Paleomagnetism*,
(2007),
809–816.

**C4.**
Winch DE

Denis Winch**:**
Internal External Field Separation.
*Encyclopedia of Geomagnetism and Paleomagnetism*,
(2007),
448–452.

## Conference Proceedings

**E1.**
Easdown D

David Easdown
(2007).
The role of proof in mathematics teaching and the Plateau Principle.
*Science Teaching and Learning Research including Threshold Concepts*,
*Proceedings of the Assessment in Science Teaching and Learning Symposium*,
Alexandra Hugman, Ian Johnston and Mary Peat (ed.) ,
Uniserve Science,
Uniserve,
ISBN 978-1-74210-005-0,
28–33.

**E1.**
Ewald CO

C O Ewald
(2007).
The Malliavin calculus and stochastic differential games with information assymmetry.
*The Second Conference on Game Theory and Applications*,
*Proceedings of the second international conference on game theory and applications*,
Hongwei Gao, Leon A. Petrosyan (ed.) ,
World Academic Union Ltd,
ISBN 978-1846261664

**E1.**
Ewald CO and Xiao Y

C O Ewald, Y Xiao
(2007).
Optimal portfolios in a competing-insiders market: An anticipated stochastic differential game model.
*The Second Conference on Game Theory and Applications*,
*Proceedings of the second international conference on game theory and applications*,
Hongwei Gao, Leon A. Petrosyan (ed.) ,
World Academic Union Ltd,
ISBN 978-1846261664,
310 pages.

**E1.**
Heijden GHM and Fraser WB

G H M van der Heijden and W B Fraser
(2007).
Geometrically non-linear vibrations of structure.
*Euromech Colloquium 483*,
*Proceedings of the Euromech Colloquium 483*,
- (ed.) ,
Euromech,
DEMEGI-FEUP,
ISBN 978-989-95208-2-0,
221–224.

**E1.**
Hillman JA

J.Hillman
(2007).
Hermitian pairings and isolated singularities.
*Australian-Japanese Workshop on Real and Complex Singularities*,
*Real and Complex Singularities – Proceedings of the Australian-Japanese Workshop*,
L.Paunescu, A.Harris, T.Fukui and S.Koike (ed.) ,
World Scientific,
ISBN 978-981-270-551-8,
46–55.
MR2336681

**E1.**
Jayaswal V, Poladian L and Jermiin LS

V Jayaswal, L Poladian and L S Jermiin
(2007).
Single and Multi-objective phylogenetic analysis of primate evolution using a genetic algorithm.
*CEC 2007*,
*Proceedings of the 2007 IEEE Congress on Evolutionary Computation*,
Arthur Tay (ed.) ,
2007 IEEE Congress on Evolutionary Computation,
IEEE,
ISBN 1-4244-1340-0,
4146–4152.

**E1.**
Kuo TC and Paunescu L

T-C Kuo and Laurentiu Paunescu
(2007).
Desingularization And Equisingularity At Undergraduate Level.
*Real and Complex Singularities*,
*Real and Complex Singularities*,
Laurentiu Paunescu, Adam Harris, Toshizumi Fukui and Satoshi Koikke (ed.) ,
Proceedings of The Japanese-Australian workshop,
World Scientific,
ISBN 978-981-270-551-8,
207–231.
MR2336687

**E1.**
Niculescu SI, Kim PS, Lee PP and Levy D

S.-I. Niculescu, P.S. Kim, P.P. Lee, D. Levy
(2007).
On stability of a combined Gleevec and immune model in chronic leukemia: Exploiting delay system structure.
*7th IFAC Symposium on Nonlinear Control Systems*,
*Nonlinear Control Systems (vol. 7, part 1)*,
X. Xia, F. Camisani-Calzolari (ed.) ,
International Federation of Automatic Control (IFAC),
ISBN ISBN: 978-3-902661-28-9,
N/A.

**E1.**
Padden WEP, Thompson RS and Macaskill C

Padden WE, Thompson RS, Macaskill C
(2007).
Using the phase modulation imposed by tissue inhomogeneity to determine the full acoustic near field.
*IEEE International Ultrasonics Symposium*,
*Proceedings of 2007 IEEE International Ultrasonics Symposium*,
Marjorie Passini Yuhas (ed.) ,
IEEE,
1282–1285.

**E1.**
Phipps MC and Byron PM

Mary C Phipps and Peter M Byron
(2007).
On restricting the supremum search for unconditional \(P\)-values.
*2007 Hawaii International Conference on Statistics, Mathematics and Related Fields*,
*Proceedings of the Sixth Hawaii International Conference on Statistics, Mathematics and Related Fields*,
Andrew Burge (ed.) ,
HICS,
1037–1052.

**E1.**
Poladian L

L Poladian
(2007).
Excluding the best and worst individuals from parent selection.
*CEC 2007*,
*Proceedings of the 2007 IEEE Congress on Evolutionary Computation*,
Arthur Tay (ed.) ,
CEC 2007,
IEEE,
ISBN 1-4244-1340-0,
400–406.

**E2.**
Muller S and Welsh AH

Samuel Müller, A. H. Welsh
(2007).
Robust Model Selection in Generalized Linear Models.
*Reassessing the Paradigms of Statistical Model-Building*,
*Oberwolfach Report*,
Gather U, Hall P, Künsch H-R (ed.) ,
Eur. Math. Soc. EMS Publ. House ETH-Zentrum FLI-C4 8092 Zürich Switzerland,
ISBN 1660-8933,
42–43.
MR2463644

**E3.**
Tillmann S

Stephan Tillmann
(2007).
Applications of tropical geometry to groups and manifolds.
*Tropical Geometry*,
*Tropical geometry*,
Gert-Martin Greuel (Editor-in-Chief) (ed.) ,
Oberwolfach Reports,
European Mathematical Society Publ. House,
ISBN 1660-8933,
3281–3283.
MR2463651

**E4.**
(2007).
(Ed) Real and Complex Singularities.
*The first Australian-Japanese Workshop on Real and Complex Singularities*,
*Proceedings of the Australian-Japanese Workshop*,
L. Paunescu, A. Harris, T. Fukui and S. Koike (ed.) ,
World Scientific,
ISBN 978-981-270-551-8,
459.
MR2280705