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Centre for Mathematics and Its Applications
Mathematics Research Reports 1997


Adam Sikora (MRR97-001)
On the L2 -> Loo norms of spectral multipliers of "quasi-homogeneous" operators on homogeneous group

Ola Bratteli, Palle E.T. Jørgensen and Derek W. Robinson (MRR97-002)
Spectral asymptotics of periodic elliptic operators

Alexander Molev, Maxim Nazarov (MRR97-003)
Capelli identities for classical Lie algebras

Yi Fang (MRR97-004)
The Minding Formula and its Application

Burkhard Höfling (MRR97-005)
Subgroups of locally finite products of locally nilpotent groups

D.E. Apushkinskaya and A.I. Nazarov (MRR97-006)
Hölder estimates of solutions to degenerate Venttsel' boundary value problems for parabolic and elliptic equations of nondivergent form

M.T. Batchelor, V. Fridkin, A. Kuniba, K. Sakai and Y.-K. Zhou (MRR97-007)
Free energies and critical exponents of the A1(1), Bn(1), C1(1) and D1(1) face models

Yu-Kui Zhou (MRR97-008)
Fateev-Zamolodchikov and Kashiwara-Miwa models: boundary star-triangle relations and surface critical properties

Robert S. Anderssen and Markus Hegland (MRR97-009)
For numerical differentiation, dimensionality can be a blessing!

National Research Symposia in the Mathematical Sciences. Lie Theory 96, 2-6 December 1996 (MRR97-010)
Abstracts of talks

Philip W. Doyle and Peter J. Vassiliou (MRR97-011)
Separation of variables for the 1-dimensional nonlinear diffusion equation

M.R. Osborne and D.L. Harrar II (MRR97-012)
Inverse iteration and deflation in general eigenvalue problems

A. R. Davies and R. S. Anderssen (MRR97-013)
Sampling Localization in Determining the Relaxation Spectrum

Yi Fang (MRR97-014)
On minimal annuli with straight line boundary

Murray T. Batchelor and John Cardy (MRR97-015)
Extraordinary transition in the two-dimensional O(n) model

M.T. Batchelor and K.A. Seaton (MRR97-016)
Magnetic correlation length and universal amplitude of the lattice E8 Ising model

Harolds Petersens (MRR97-017)
Remarks on gravity, series, real line and solution of equations

John E. Hutchinson and Ludger Rüschendorf (MRR97-018)
Random fractal measures via the contraction method

Alexander I. Molev, Bruce E. Sagan (MRR97-019)
A Littlewood-Richardson Rule for factorial Schur functions

Maciej Kocan and Pierpaolo Soravia (MRR97-020)
Differential Games and Nonlinear Hoo Control in Infinite Dimensions

Felicia Bernatzki (MRR97-021)
On the existence and regularity of mass-minimizing currents with an elastic boundary

G.I. Lehrer (MRR97-022)
Roger Wolcott Richardson 1930-1993
  • Published: Austral. Math. Soc. Gaz. 25 (1998), no. 2, 98-110
  • MR 99m:01078

Elizabeth A. Ormerod (MRR97-023)
A note on the Wielandt series of a metabelian p-group

Justin McGuire, Murray T. Batchelor, Brian Davies (MRR97-024)
Linear and optimal nonlinear control of one-dimensional maps

A.F.M. ter Elst and Derek W. Robinson (MRR97-025)
Local lower bounds on heat kernels

J.J. Graham and G.I. Lehrer (MRR97-026)
The representation theory of affine Temperley-Lieb algebras
  • Published: Enseign. Math. (2) 44 (1998), no. 3-4, 173-218
  • MR 99i:20019

Gerhard Dziuk and John E. Hutchinson (MRR97-027)
Finite element approximations and the Dirichlet problem for surfaces of prescribed mean curvature

Murray T. Batchelor (MRR97-028)
Surface operator content of the AL face models

H.W.J. Blöte, M.T. Batchelor and B. Nienhuis (MRR97-029)
Collapse of a polymer in two dimensions

Friedmar Schulz (MRR97-030)
On the unique continuation property of elliptic divergence form equations in the plane
  • Published: Math. Z. 228 (1998), no. 2, 201-206
  • MR 99e:35035

B.M.S. Martin (MRR97-031)
Restrictions of representations of a surface group to a pair of free subgroups

Ben Andrews (MRR97-032)
Evolving convex curves

Ben Andrews (MRR97-033)
Monotone quantities and unique limits for evolving convex hypersurfaces

Pengfei Guan, Neil S. Trudinger, Xu-Jia Wang (MRR97-034)
On the Dirichlet problem for degenerate Monge-Ampère equations

Neil S. Trudinger, Xu-Jia Wang (MRR97-035)
Hessian measures II

B.H.Neumann (MRR97-036)
Implicative identities in groups

M.T. Batchelor , D. Bennett-Wood , A.L. Owczarek (MRR97-037)
Two-dimensional polymer networks at a mixed boundary: Surface and wedge exponents

Linda Stals, Ulrich Rüde (MRR97-038)
Techniques for improving the data locality of iterative methods

C. Zoppou , S. Roberts and R.J. Renka (MRR97-039)
Exponential Interpolation in Characteristic Based Scheme for Solving the Advective-Diffusion Equation

R.B. Howlett and G.I. Lehrer (MRR97-040)
On reflection length in reflection groups
  • Published: Arch. Math. (Basel) 73 (1999), no. 5, 321-326
  • MR 2000g:20097

Min-Chun Hong (MRR97-041)
On the Hausdorff dimension of the singular set of stable-stationary harmonic maps

Andrew Hassell (MRR97-042)
Scattering matrices for the quantum N body problem

Burkhard Höfling (MRR97-043)
On the number of conjugacy classes of maximal subgroups in a finite soluble group

Yu-kui Zhou, Wei-wei Sun (MRR97-044)
Solving the fusion heirarchies of D and E lattice models

Yu-kui Zhou* (MRR97-045)
The Ising model with boundaries: integrability and functional relations

Ben Andrews (MRR97-046)
The affine curve-lengthening flow

Alexander Molev (MRR97-047)
Finite-dimensional irreducible representations of twisted Yangians

Abstracts of Talks (MRR97-048)
National Research Symposia in Mathematical Sciences Algebraic and Analytical Methods of Lie Theory 1 - 5 December, 1997

V.V. Ezhov, A.V. Isaev, G. Schmalz (MRR97-049)
Invariants of elliptic and hyperbolic CR-structures of codimension 2

Vittorio D Almazar and John Cossey (MRR97-050)
Automorphisms fixing subnormal subgroups of polycyclic groups

John Cossey (MRR97-051)
Quotients of permutation groups

David L. Harrar II and Michael R. Osborne (MRR97-052)
Composite Arnoldi-Newton methods for large nonsymmetric eigenvalue problems

David L. Harrar II and Margaret H. Kahn (MRR97-053)
Efficient solution of symmetric/Hermitian eigenvalue problems on parallel arrays of vector processors

David L. Harrar II, Margaret H. Kahn, Michael R. Osborne (MRR97-054)
Parallel eigenvalue routines on the Fujitsu VPP300

Geoffrey B. Campbell (MRR97-055)
On generating functions for vector partitions

C. Zoppou and J.H. Knight (MRR97-056)
Analytical solution of the spatially variable co-efficient advective-diffusion equation in one, two and three dimensions

Markus Hegland, Stephen Roberts and Irfan Altas (MRR97-057)
Finite element thin plate splines for data mining applications

D.E. Apushkinskaya and A.I. Nazarov (MRR97-058)
Gradient estimates for solutions of stationary degenerate Venttsel' problems I

Yi Fang and Jenn-Fang Hwang (MRR97-059)
Curvature estimates for minimal annuli and non-compact Douglas-Plateau problem
  • Published: Comm. Anal. Geom. 8 (2000), no. 4, 871-904
  • CMP 1 792 376 (2001:03)

M.F. Newman and Michael Vaughan-Lee (MRR97-060)
Some Lie rings associated with Burnside groups

M.F. Newman and Michael Vaughan-Lee (MRR97-061)
Engel-4 groups of exponent 5 II

M.T. Batchelor and K.A. Seaton (MRR97-062)
Correlation lengths and E8 mass spectrum of the dilute A3 lattice model

Elizabeth A. Ormerod (MRR97-063)
Some p-groups of Wielandt length three

S. Roberts, S. Kalyanasundaram, M. Cardew-Hall, W. Clarke (MRR97-064)
A key based parallel adaptive refinement technique for finite element methods

Alexander Molev and Grigori Olshanski (MRR97-065)
Centralizer construction for twisted Yangians
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