Centre for Mathematics and Its Applications
Mathematics Research Reports 1994

Shihong Yu, Geoff Latham, R.S. Anderssen (CMA-MRR1-94)

Stabilizing properties of maximum penalized likelihood estimation for additive Poisson regression.

• Published: Inverse Problems 10 (1994), no. 5, 1199-1209
• MR 95f:65235

T.R. Cranny (CMA-MRR2-94)

Regularity of viscosity solutions of fully nonlinear degenerate elliptic equations with generalized Neumann boundary conditions.

Hung-Ju Kuo, Neil S. Trudinger (CMA-MRR3-94)

Local estimates for parabolic difference operators.

• Published: J. Differential Equations 122 (1995), no. 2, 398-413
• MR 96k:39021

Derek Holt, C.R. Leedham-Green, E.A. O'Brien, Sarah Rees (CMA-MRR4-94)

Computing decompositions for modules with respect to a normal subgroup.

• Published: J. Algebra 184 (1996), no. 3, 818-838 as "Computing matrix group decompositions with respect to a normal subgroup"
• MR 97m:20021

Geoffrey B. Campbell (CMA-MRR5-94)

Infinite products over hyperpyramid lattices.

• Published: Int. J. Math. Math. Sci. 23 (2000), no. 4, 271-277

Le Hung Son (CMA-MRR6-94)

Some remarks on functions of several quaternionic variables.

Maria Athanassenas (CMA-MRR7-94)

Volume-preserving mean curvature flow of rotationally symmetric surfaces.

• Published: Comment. Math. Helv. 72 (1997), no. 1, 52-66
• MR 98d:58037

M.T. Nair, M. Hegland, R.S. Anderssen (CMA-MRR8-94)

The trade-off between regularity and stabilization in Tikhonov regularization.

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• Published: Math. Comp. 66 (1997), no. 217, 193-206
• MR 98a:65081

John Hutchinson, Gerhard Dziuk (CMA-MRR9-94)

On the approximation of unstable parametric minimal surfaces.

• Published: Calc. Var. Partial Differential Equations 4 (1996), no. 1, 27-58
• MR 96m:49073

Mi Lin, Neil S. Trudinger (CMA-MRR10-94)

The Dirichlet problem for the prescribed curvature quotient equations.

• Published: Topol. Methods Nonlinear Anal. 3 (1994), no. 2, 307-323
• MR 95e:53059

Murray Batchelor and C.M. Yung (CMA-MRR11-94)

q-Deformations of quantum spin chains with exact valence-bond ground states.

• Published: Perspectives on solvable models, 197-206, World Sci. Publishing, River Edge, NJ, 1994
• MR 98c:82009

Markus Hegland (CMA-MRR12-94)

A self-sorting in-place fast Fourier transform algorithm suitable for vector and parallel processing.

• Download paper (63K gzipped DVI file)
• Published: Numer. Math. 68 (1994), no. 4, 507-547
• MR 96e:65082

A. Caranti, S. Mattarei, M.F. Newman, C.M. Scoppola (CMA-MRR13-94)

Thin groups of prime-power order and thin Lie algebras.

• Published: Quart. J. Math. Oxford Ser. (2) 47 (1996), no. 187, 279-296
• MR 97h:20036

Derek Holt, C.R. Leedham-Green, E.A. O'Brien, Sarah Rees (CMA-MRR14-94)

Testing matrix groups for primitivity.

• Published: J. Algebra 184 (1996), no. 3, 795-817
• MR 97m:20020

Geoffrey B. Campbell (CMA-MRR15-94)

A generalized Ramanujan arithmetical function, and Jordan's totient.

Markus Hegland (CMA-MRR16-94)

An implementation of multiple and multi-variate Fourier transforms on vector processors.

• Download paper (34K gzipped DVI file)
• Published: SIAM J. Sci. Comput. 16 (1995), no. 2, 271-288
• MR 96b:65129

Jon F. Carlson, L.G. Kovacs (CMA-MRR17-94)

Tensor factorizations of group algebras and modules.

• Published: J. Algebra 175 (1995), no. 1, 385-407
• MR 96f:20014

L.G. Kovacs and Samuel M. Vovsi (CMA-MRR18-94)

Growth of varieties of groups and group representations, and the Gel'fand-Kirillov dimension.

• Published: J. Algebra 177 (1995), no. 2, 493-510
• MR 96k:20050

L.G. Kovacs and M.F. Newman (CMA-MRR19-94)

Torsionfree varieties of metabelian groups.

• Published: Infinite groups 1994 (Ravello), 125-128, de Gruyter, Berlin, 1996
• MR 98f:20010

Martin Schweizer (CMA-MRR20-94)

A projection result for semimartingales.

• Published: Stochastics Stochastics Rep. 50 (1994), no. 3-4, 175-183
• MR 2001e:60088

Gunnar Traustason (CMA-MRR21-94)

On 4-Engel groups

• Published: J. Algebra 178 (1995), no. 2, 414-429
• MR 96i:20049

David L. Harrar II (CMA-MRR22-94)

Analytically and implementationally optimal 2-color SSOR preconditioning on vector and parallel supercomputers.

A.V. Isaev (CMA-MRR23-94)

The images of Levi-nondegenerate manifolds under holomorphic mappings II

Alexander Molev (CMA-MRR24-94)

Yangians and classical Lie algebras Part II. Sklyanin determinant, Laplace operators and characteristic identities.

Neil S. Trudinger (CMA-MRR25-94)

On the Dirichlet problem for Hessian equations.

• Abstract
• Published: Acta Math. 175 (1995), no. 2, 151-164
• MR 96m:35113

Xuan T. Duong and Derek W. Robinson (CMA-MRR26-94)

Gaussian bounds, Brownian estimates and H_*-functional calculus

T.R. Cranny (CMA-MRR27-94)

Regularity of solutions for the generalised inhomogenous Neumann boundary value problem

• Published: J. Differential Equations 126 (1996), no. 2, 292-302
• MR 97g:35049

Susan M. Scott and Peter Szekeres (CMA-MRR28-94)

The abstract boundary - a new approach to singularities of manifolds

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• Published: J. Geom. Phys. 13 (1994), no. 3, 223-253
• MR 95a:53107

M.T. Batchelor and C.M. Yung (CMA-MRR29-94)

Comment on "Solutions of the Yang-Baxter equation for isotropic quantum spin chains"

• Published: J. Phys. A 27 (1994), no. 14, 5033-5036
• MR 95g:82028

Markus Hegland (CMA-MRR30-94)

Variable Hilbert scales and their interpolation inequalities with applications to Tikhonov regularization.

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• Published: Appl. Anal. 59 (1995), no. 1-4, 207-223
• MR 97a:65060

Marcus Kriele, Giselle Lim and Susan M. Scott (CMA-MRR31-94)

A geometry theory of shell singularities.

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• Published: Classical Quantum Gravity 11 (1994), no. 11, 2761-2779
• MR 96d:83084

M.T. Batchelor and C.M. Yung (CMA-MRR32-94)

Integrable SU(2)-invariant spin chains and the Haldane conjecture.

• Published: Confronting the infinite (Adelaide, 1994), 167-174, World Sci. Publishing, River Edge, NJ, 1995
• MR 97j:82022

F. Ghahramani, R.J. Loy and G.A. Willis (CMA-MRR33-94)

Amenability and weak amenability of second conjugate Banach algebras.

• Published: Proc. Amer. Math. Soc. 124 (1996), no. 5, 1489-1497
• MR 96g:46036

Markus Hegland (CMA-MRR34-94)

Area 4 Working Note 14: Real and complex fast Fourier transforms on the Fujitsu VPP 500.

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John Cossey and Guo Xiuyum (CMA-MRR35-94)

The existence of normal p-complements in finite groups.

Chris Fama and Susan M. Scott (CMA-MRR36-94)

Invariance properties of boundary sets of open embeddings of manifolds and their application to the abstract boundary.

• Download paper (128K gzipped PS file)
• Published: Differential geometry and mathematical physics (Vancouver, BC, 1993), 79-111, Contemp. Math., 170, Amer. Math. Soc., Providence, RI, 1994
• 95h:53091

Zbigniew Leyk (CMA-MRR37-94)

Breakdowns and stagnation in iterative methods.

• Published: BIT 37 (1997), no. 2, 377-403
• MR 98e:65022

Tom ter Elst and Derek W. Robinson (CMA-MRR38-94)

Spectral estimates for positive Rockland operators.

• Published: Algebraic groups and Lie groups, 195-213, Austral. Math. Soc. Lect. Ser., 9, Cambridge Univ. Press, Cambridge, 1997
• MR 99m:22004

F.W. Gehring and G.J. Martin (CMA-MRR39-94)

Holomorphic motions, Schottky's theorem and an inequality for discrete groups.

• Published: Computational methods and function theory 1994 (Penang), 173-181, Ser. Approx. Decompos., 5, World Sci. Publishing, River Edge, NJ, 1995
• MR 98c:30053

F.W. Gehring, G.J. Martin and A.W. Reid (CMA-MRR40-94)

Arithmeticity, discreteness and volume.

• Published: Trans. Amer. Math. Soc. 349 (1997), no. 9, 3611-3643
• MR 98d:57022

A. T-M. Lau and R.J. Loy (CMA-MRR41-94)

Amenability of convolution algebras.

• Published: Math. Scand. 79 (1996), no. 2, 283-296
• MR 98i:46046

C.M. Yung, M.T. Batchelor (CMA-MRR42-94)

Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices.

• Published: Nuclear Phys. B 435 (1995), no. 3, 430-462
• MR 95m:82058

M.R. Osborne (CMA-MRR43-94)

Solving least squares problems on parallel vector processors.

• Published: Numerical analysis, 225-246, World Sci. Publishing, River Edge, NJ, 1996

M.R. Osborne (CMA-MRR44-94)

Computing the eigenvalues of tridiagonal matrices in parallel vector processors.

G.J. Martin (CMA-MRR45-94)

The distortion theorem for quasiconformal mappings, Schottky's theorem and holomorphic motions.

• Published: Proc. Amer. Math. Soc. 125 (1997), no. 4, 1095-1103
• MR 97g:30017

F.W. Gehring and G.J. Martin (CMA-MRR46-94)

On the Margulis constant for Kleinian groups with pairwise elementary generators.

• Published: Ann. Acad. Sci. Fenn. Math. 21 (1996), no. 2, 439-462 as "On the Margulis constant for Kleinian groups. I"
• MR 97f:30065

H. Sawada (CMA-MRR47-94)

A note on associative triple systems of Hecke type of characteristic 0.

• Published: Bull. Yamagata Univ. Natur. Sci. 14 (1997), no. 2, 71-81
• MR 98c:20008

M.T. Batchelor, B.I. Henry and A.P. Roberts (CMA-MRR48-94)

Comparative study of large scale Laplacian growth patterns.

M.V. Safanov (CMA-MRR49-94)

On the boundary value problems for fully nonlinear elliptic equations of second order.

M.T. Batchelor, J. Suzuki, C.M. Yung (CMA-MRR50-94)

Exact results for Hamiltonian walks from the solution of the fully packed loop model on the honeycomb lattice.

• Published: Phys. Rev. Lett. 73 (1994), no. 20, 2646-2649
• MR 95g:82029

M.T. Batchelor, A.L. Owczarek, K.A. Seaton, C.M. Yung (CMA-MRR51-94)

Surface critical behaviour of an O(n) loop model related to two Manhattan lattice walk problems.

• Published: J. Phys. A 28 (1995), no. 4, 839-852
• MR 95m:82073

Geoffrey B. Campbell (CMA-MRR52-94)

Dirichlet series analogues of q-series.

David L. Harrar II (CMA-MRR53-94)

Alternative data assignment schemes for the acceleration of data-parallel implementations of local iterative updates.

A.F.M. ter Elst and Derek W. Robinson (CMA-MRR54-94)

Reduced heat kernels on nilpotent Lie groups.

• Published: Comm. Math. Phys. 173 (1995), no. 3, 475-511
• MR 98c:22008

Scott H. Murray and E.A. O'Brien (CMA-MRR55-94)

Determining the order of a matrix group.

Alexander Molev (CMA-MRR56-94)

Noncommutative symmetric functions and Laplace operators for classical Lie algebras.

• Published: Lett. Math. Phys. 35 (1995), no. 2, 135-143
• MR 96i:81132

Tadeusz Iwaniec and Gaven Martin (CMA-MRR57-94)

Quasiregular semigroups.

• Published: Ann. Acad. Sci. Fenn. Math. 21 (1996), no. 2, 241-254
• MR 97i:30032

Tadeusz Iwaniec and Gaven Martin (CMA-MRR58-94)

The Liouville Theorem.

• Published: Analysis and topology, 339-361, World Sci. Publishing, River Edge, NJ, 1998
• MR 2000c:30042

G. Havas, M.F. Newman and E.A. O'Brien (CMA-MRR59-94)

Groups of Deficiency Zero.

• Abstract
• Download paper (22K gzipped DVI file)
• Published: Geometric and computational perspectives on infinite groups (Minneapolis, MN and New Brunswick, NJ, 1994), 53-67, DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 25, Amer. Math. Soc., Providence, RI, 1996
• MR 96h:20063

Karin Erdmann and L.G. Kovacs (CMA-MRR60-94)

Some tensor-indecomposable modular group algebras. and (2 papers combined)

L.G. Kovacs (CMA-MRR61-94)

A projective geometry problem related to tensor factorizations of group algebras.

R.M. Bryant (CMA-MRR62-94)

Cyclic groups acting on free Lie algebras. and (2 papers combined)

• Published: Geometry and cohomology in group theory (Durham, 1994), 39-44, London Math. Soc. Lecture Note Ser., 252, Cambridge Univ. Press, Cambridge, 1998
• MR 2001c:17007

M.W. Short (CMA-MRR63-94)

A conjecture about free Lie algebras.

• Published: Comm. Algebra 23 (1995), no. 8, 3051-3057
• MR 96c:17007

Markus Hegland and Wayne W. Wheeler (CMA-MRR64-94)

Linear bijections and the fast fourier transform.

• Abstract
• Download paper (28K gzipped DVI file)
• Published: Appl. Algebra Engrg. Comm. Comput. 8 (1997), no. 2, 143-163 99b:65182

M.T. Batchelor and C.M. Yung (CMA-MRR65-94)

Exact results for the adsorption of a flexible self-avoiding polymer chain in two dimensions.

David L. Harrar II (CMA-MRR66-94)

Data-parallel nearest-neighbor communications relative performance difference between shift operations on the CM-5 in the implementation of local iterative updates.

Karin Erdmann (CMA-MRR67-94)

Deformations of group algebras.

Timothy R. Cranny (CMA-MRR68-94)

On the uniqueness of solutions of the homogeneous curvature equations.

• Abstract
• Published: Ann. Inst. H. Poincaré Anal. Non Linéaire 13 (1996), no. 5, 619-630
• MR 97i:35016

David Harrar II (CMA-MRR69-94)

On the use of serial array axes to increase efficiency in the data-parallel implementation of various iterative methods.

David E. Stewart (CMA-MRR70-94)

Product algorithms for eigen systems.

• Abstract

Shihong Yu (CMA-MRR71-94)

Comparison of numerical behavior of the EM and OSL algorithms for Poisson data.

• Abstract

Alexander I. Molev (CMA-MRR72-94)

On Stirling partitions of the symmetric group.

• Published: Proceedings of the 7th Conference on Formal Power Series and Algebraic Combinatorics (Noisy-le-Grand, 1995). Discrete Math. 180 (1998), no. 1-3, 281-300 as "Stirling partitions of the symmetric group and Laplace operators for the orthogonal Lie algebra"
• MR 99k:17011

Naoyuki Ishimura (CMA-MRR73-94)

Curvature evolution of plane curves with prescribed opening angle.

• Abstract
• Published: Bull. Austral. Math. Soc. 52 (1995), no. 2, 287-296
• MR 96g:35089

Yi Fang (CMA-MRR74-94)

Total curvature of branched minimal surfaces.

• Abstract
• Download paper (8K gzipped DVI file)
• Published: Proc. Amer. Math. Soc. 124 (1996), no. 6, 1895-1898
• MR 96h:53011

Yi Fang and John E. Hutchinson (CMA-MRR75-94)

Hessian energy and optimal parametrisations of surfaces.

• Abstract
• Published: Math. Z. 225 (1997), no. 3, 507-535
• MR 98i:58064

D.E. Stewart (CMA-MRR76-94)

Angles between wavelet spaces under an operator inner product.

Min-Chun Hong (CMA-MRR77-94)

Asymptotic behavior for minimizers of a Ginzburg-Landau-type functional in higher dimensions associated with n-harmonic maps.

• Download paper (41K gzipped DVI file)
• Published: Adv. Differential Equations 1 (1996), no. 4, 611-634
• MR 97h:58047

Brian Davies and Masato Okado (CMA-MRR78-94)

Excitation spectra of spin models constructed from quantized affine algebras of type B⁽¹⁾_n, D⁽¹⁾_n.

• Abstract
• Published: Internat. J. Modern Phys. A 11 (1996), no. 11, 1975-2017
• MR 97e:82010

Peter F. Arndt, Thomas Heinzel and C.M. Yung (CMA-MRR79-94)

Temperley-Lieb words as valence-bond ground states.

• Abstract
• Published: J. Phys. A 28 (1995), no. 12, L323-L329
• MR 96i:82012

C.M. Yung and M.T. Batchelor (CMA-MRR80-94)

Diagonal K-matrices and transfer matrix eigenspectra associated with the G⁽¹⁾₂ R-matrix.

• Abstract
• Published: Phys. Lett. A 198 (1995), no. 5-6, 395-402
• MR 95m:81080

A.V. Isaev (CMA-MRR81-94)

Rigid spherical hypersurfaces.

• Abstract
• Published: Complex Variables Theory Appl. 31 (1996), no. 2, 143-163.
• MR 97k:32026

Gerhard Dziuk and John E. Hutchinson (CMA-MRR82-94)

L² estimates for approximations to minimal surfaces.

• Abstract
• Published: Curvature flows and related topics (Levico, 1994), 67-82, GAKUTO Internat. Ser. Math. Sci. Appl., 5, Gakkotosho, Tokyo, 1995
• MR 97g:58042

Eugene M. Luks, F. Rakoczi, Charles R.B. Wright (CMA-MRR83-94)

Some algorithms for nilpotent permutation groups.

• Published: J. Symbolic Comput. 23 (1997), no. 4, 335-354
• MR 97m:68113

Neil S. Trudinger (CMA-MRR84-94)

Maximum principles for curvature quotient equations.

• Abstract
• Download paper (16K gzipped DVI file)
• Published: J. Math. Sci. Univ. Tokyo 1 (1994), no. 3, 551-565
• MR 96b:35026

R.A. Bryce, John Cossey (CMA-MRR85-94)

A note on groups with Hamiltonian factor groups.

• Published: Rend. Sem. Mat. Univ. Padova 100 (1998), 1-11 as "A note on groups with Hamiltonian quotients"
• MR 99k:20042