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Centre for Mathematics and Its Applications
Mathematics Research Reports 1998


MRR98-001 cancelled: see MRR98-011

Karen George, M. R. Osborne, G. A. Watson, and R. S. Womersley (MRR98-002)
On simplicial algorithms for rank regression

V. V. Ezhov and A. V. Isaev (MRR98-003)
Canonical Isomorphism of Two Lie Algebras Arising in CR-geometry

Adam Sikora (MRR98-004)
Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth

A.F.M. ter Elst, Derek W. Robinson and Adam Sikora (MRR98-005)
Riesz tranforms and Lie groups of polynomial growth

Derek W. Holtby (MRR98-006)
Higher order interior estimates for fully nonlinear difference equations II

Derek W. Holtby (MRR98-007)
Higher order interior estimates for fully nonlinear difference equations in a domain

Min-Chun Hong (MRR98-008)
Monotonicity formula for heat flow for Yang-Mills-Higgs equations

Ben Andrews (MRR98-009)
Motion of hypersurfaces by Gauss curvature

B.H. Neumann (MRR98-010)
Hardy - some reminiscences
  • Published: Austral. Math. Soc. Gaz. 25 (1998), no. 3, 138-141

L. G. Kovács, B. H. Neumann and M. F. Newman (MRR98-011)
A problem of Grätzer and Wehrung on groups

Alexander Molev (MRR98-012)
A basis for representations of symplectic Lie algebras

Li Shirong and Yanming Wang (MRR98-013)
On C-section and C-index of finite groups

Maciej Kocan, Pierpaolo Soravia (MRR98-014)
Nonlinear, dissipative, infinite dimensional systems

M.T. Batchelor and K.A. Seaton (MRR98-015)
Excitations in the dilute AL lattice model: E6, E7 and E8 mass spectra

R.S. Anderssen and A.R. Davies (MRR98-016)
Simple moving-average formulae for the direct recovery of the relaxation spectrum

A.R. Davies and R.S. Anderssen (MRR98-017)
Sampling localization, duality algorithms and the Kramers-Kronig relations

Andrew Hassell and András Vasy (MRR98-018)
Symbolic functional calculus and N body resolvent estimates

D.E. Apushkinskaya and A.I. Nazarov (MRR98-019)
Gradient estimates for solutions of stationary degenerate Venttsel' problems II
  • Published: J. Math. Sci. (New York) 98 (2000), no. 6, 654-673 as "Estimates for the gradient of solutions to stationary degenerate Venttsel' problems"
  • CMP 1 788 214 (2001:03)

Burkhard Höfling (MRR98-020)
Finite irreducible imprimitive nonmonomial complex linear groups of degree four

G.I. Lehrer and G.B. Segal (MRR98-021)
Iterated loop spaces and homology stability for the regular semisimple varieties
  • Published: Math. Z. 236 (2001), no. 2, 251-290
  • CMP 1 815 830 (2001:09)

N. Dungey, A.F.M. ter Elst, Derek W. Robinson, Adam Sikora (MRR98-022)
Asymptotics of subcoercive semigroups on nilpotent Lie groups

John Urbas (MRR98-023)
A note on the contact angle boundary condition for Monge-Ampère equations

John Cossey and Yanming Wang (MRR98-024)
Remarks on the length of conjugacy classes of finite groups

Christopher Zoppou and Stephen Roberts (MRR98-025)
Catastrophic collapse of water supply reservoirs in urban areas

David L. Harrar II and Michael R. Osborne (MRR98-026)
Parallel Solution of Some Large-Scale Eigenvalue Problems Arising in Chemistry and Physics

David L. Harrar II and Michael R. Osborne (MRR98-027)
Solving Large-Scale Eigenvalue Problems on Vector Parallel Processors

M.T. Batchelor (MRR98-028)
The O(n) loop model on the 3-12 lattice

John Cossey and Yanming Wang (MRR98-029)
Finite dinilpotent groups of small derived length

Thanh Tran (MRR98-030)
Overlapping additive Schwarz preconditioners for boundary element methods

Ben Andrews (MRR98-031)
Gauss curvature flow: The fate of the rolling stones

Denis A. Labutin (MRR98-032)
Superposition operator in Sobolev spaces on domains

Min-Chun Hong and Yoshihiro Tonegawa (MRR98-033)
Partial regularity of weak solutions to Maxwell's equations in a quasi-static electromagnetic field

Yi Fang and Jenn-Fang Hwang (MRR98-034)
A note on Shiffman's theorems

L.G. Kovács and Ralph Stöhr (MRR98-035)
Lie powers of the natural module for GL(2)

James A. Gifford, Alexander V. Isaev and Steven G. Krantz (MRR98-036)
On the dimensions of the automorphism groups of hyperbolic Reinhardt domains

Felicia Bernatzki (MRR98-037)
Almost invariant rectifiable currents of codimension 1 for field line flows

Christopher Zoppou (MRR98-038)
Reverse Routing of Flood Hydrographs Using Level Pool Routing

Christopher Zoppou and Stephen Roberts (MRR98-039)
Numerical Solution of the Two-Dimensional Unsteady Dam Break

Felicia Bernatzki and Rugang Ye (MRR98-040)
Minimal surfaces with an elastic boundary

Peter J. Vassiliou (MRR98-041)
Vessiot Structure for Manifolds of (p,q)-Hyperbolic type: Darboux Integrability & Symmetry

Lutz Grosz (MRR98-042)
A-Posteriori Error Estimates for non-linear FEM Problems based on Matrix Reuse

Lutz Grosz (MRR98-043)
VECFEM-The Solver for Non-linear Partial Differential Equation

Yu-Kui Zhou (MRR98-044)
Integrable Boundary Boltzmann Weights And Surface Free Energy Inversion Relations of The Chiral Potts Model

Alex Coventry (MRR98-045)
The graphs of smooth functions are dense in the space of Cartesian currents on a smooth bounded domain, but not every Cartesian current is the limit of such graphs

John Urbas (MRR98-046)
Some new estimates for solutions of degenerate two dimensional Monge-Ampère equations

M.R. Osborne (MRR98-047)
Variable selection and control in least squares problems

John E. Hutchinson and Ludger Rüschendorf (MRR98-048)
Random fractals and probability metrics

M.R. Osborne, Brett Presnell and B.A. Turlach (MRR98-049)
Berwin's Problem

Adam Harris and Yoshihiro Tonegawa (MRR98-050)
Analytic continuation of vector bundles with Lp-curvature

H.E. Boos and V.V. Mangazeev (MRR98-051)
Functional relations and nested Bethe ansatz for sl(3) chiral Potts model at q2 = -1

Geoffrey R. Robinson (MRR98-052)
Counting characters of certain degrees
  • Published: J. Group Theory 3 (2000), no. 1, 1-6
  • MR 2000m:20015

Nick Dungey (MRR98-053)
Higher order operators and Gaussian bounds on Lie groups of polynomial growth

A.A. Stolin (MRR98-054)
Generalized trigonometric solutions of the classical Yang-Baxter equation

Susan Evans-Riley, M.F. Newman and Csaba Schneider (MRR98-055)
On the soluble length of groups with prime-power order

Lars Kadison and A.A. Stolin (MRR98-056)
On finite order elements in Hopf algebras over rings

Weihuan Chen and Yi Fang (MRR98-057)
Self $\theta$-congruent minimal surfaces in R3

Abstracts of Talks (MRR98-058)
National Research Symposia in Mathematical Sciences
LIE THEORY AND ITS APPLICATIONS
30 November - 4 December, 1998

Brian Davies (MRR98-059)
On the Riemann surface of the chiral Potts model
  • Published: Statistical physics on the eve of the 21st century, 316-335, Ser. Adv. Statist. Mech., 14, World Sci. Publishing, River Edge, NJ, 1999
  • MR 2000i:82013

Brian Davies (MRR98-060)
Chaos and Java: interactive learning

Andrew Hassell and András Vasy (MRR98-061)
The spectral projections and the resolvent for scattering metrics

David L. Harrar II (MRR98-062)
A Block Arnoldi Method for Large Nonsymmetric Eigenvalue Problems

John Urbas (MRR98-063)
Some interior regularity results for solutions of Hessian Equations

John Urbas (MRR98-064)
An interior curvature bound for hypersurfaces of prescribed k-th mean curvature

Masanobu Honda and Takanori Sakamoto (MRR98-065)
Lie algebras represented as a sum of two subalgebras

Benjamin M. S. Martin (MRR98-066)
Étale Slices for Representation Varieties in Characteristic p
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