Browsing School of Mathematics, Statistics and Applied Mathematics by Title
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On Level One Cuspidal Bianchi Modular Forms
(2013)In this paper, we present the outcome of vast computer calculations, locating several of the very rare instances of level one cuspidal Bianchi modular forms that are not lifts of elliptic modular forms. 
On magnetoacoustic waves in finitely deformed elastic solids
(SAGE Journals, 2011)In this paper, in the context of the quasimagnetostatic approximation, we examine incremental motions superimposed on a static finite deformation of a magnetoelastic material in the presence of an applied magnetic field. ... 
On reflection subgroups of finite Coxeter groups
(Taylor & Francis, 20130614)Let W be a finite Coxeter group. We classify the reflection subgroups of W up to conjugacy and give necessary and sufficient conditions for the map that assigns to a reflection subgroup R of W the conjugacy class of its ... 
On residual stresses and homeostasis: an elastic theory of functional adaptation in living matter
(Nature Publishing Group, 20160426)Living matter can functionally adapt to external physical factors by developing internal tensions, easily revealed by cutting experiments. Nonetheless, residual stresses intrinsically have a complex spatial distribution, ... 
On stressdependent elastic moduli and wave speeds
(Oxford University Press, 2013)On the basis of the general nonlinear theory of a hyperelastic material with initial stress, initially without consideration of the origin of the initial stress, we determine explicit expressions for the stressdependent ... 
On stressdependent elastic moduli and wave speeds
(Oxford Journals, 20120330)On the basis of the general nonlinear theory of a hyperelastic material with initial stress, initially without consideration of the origin of the initial stress, we determine explicit expressions for the stressdependent ... 
On the Abaqus FEA model of finite viscoelasticity
(American Chemical Society, 200905)Predictions of the QLV (QuasiLinear Viscoelastic) constitutive law are compared with those of the ABAQUS viscoelastic model for two simple motions in order to highlight, in particular, their very different dissipation ... 
On the application of robust numerical methods to a complete flow wavecurrent model. Boundary and Interior Layers ONERA
(2004)We aim to show how parameterrobust numerical method may be employed to solve equations arising in the modelling of wavecurrent interactions.We present two such models: a complete flow model for wavecurrent interaction ... 
On the complexity of multiplication in the IwahoriHecke algebra of the symmetric group
(Elsevier, 20160912)We present new efficient data structures for elements of Coxeter groups of type Am and their associated Iwahori Hecke algebras H(A(m)). Usually, elements of H(A(m)) are represented as simple coefficient list of length M = ... 
On the composition product of saturated fusion systems
(Elsevier, 201111)We say that a fusion system is the composition product of two subsystems if every morphism can be factored as a morphism in one fusion system followed by a morphism in the other. We establish a relationship between the ... 
On the equivariant Khomology of PSL_2 of the imaginary quadratic integers
(Association des Annales de l'Institut Fourier, 201609)We establish formulae for the part due to torsion of the equivariant $K$homology of all the Bianchi groups (PSL$_2$ of the imaginary quadratic integers), in terms of elementary numbertheoretic quantities. To achieve this, ... 
On the quiver presentation of the descent algebra of the symmetric group
(Elsevier, 20130318)We describe a presentation of the descent algebra of the symmetric group G(n) as a quiver with relations. This presentation arises from a new construction of the descent algebra as a homomorphic image of an algebra of ... 
On the rectilinear shear of compressible and incompressible elastic slabs
(2010)We review some pseudoplanar deformations for the equations of incompressible isotropic nonlinear elasticity first introduced in 1985 by Rajagopal and Wineman. We extend this class of deformations to compressible isotropic ... 
On the table of marks of a direct product of finite groups
(Elsevier, 20171228)We present a method for computing the table of marks of a direct product of finite groups. In contrast to the character table of a direct product of two finite groups, its table of marks is not simply the Kronecker product ... 
On the third and fourthorder constants of incompressible isotropic elasticity.
(Acoustical Society of America, 20100425)Consider the constitutive law for an isotropic elastic solid with the strainenergy function expanded up to the fourth order in the strain and the stress up to the third order in the strain. The stressstrain relation can ... 
On the Torus degeneration of the genus two partition function
(World Scientific Publishing, 20130716)We consider the partition function of a general vertex operator algebra V on a genus two Riemann surface formed by sewing together two tori. We consider the nontrivial degeneration limit where one torus is pinched down ... 
Onde de Love Piézoacoustique
(20060424)Une sélection de résultats analytiques et numériques concernant la propagation d'ondes planes harmoniques guidées dans un bicouche piézoélectrique est présentée. L'étude effectuée concerne les modes transverses horizontaux ... 
Onset of nonlinearity in the elastic bending of blocks
(American Society of Mechanical Engineers, 20130125)The classical flexure problem of nonlinear incompressible elasticity is revisited assuming that the bending angle suffered by the block is specified instead of the usual applied moment. The general momentbending angle ... 
Partition functions and chiral algebras.
(American Mathematical Society, 200705)We discuss recent work of the authors concerning correlation functions and partition functions for free bosons/fermions and the bc or ghost system. We compare and contrast the nature of the 1point functions at genus 1, ... 
Phase behaviour of selfassembled monolayers controlled by tuning physisorbed and chemisorbed states: A latticemodel view
(American Institute of Physics, 20160407)The selfassembly of molecules on surfaces into 2D structures is important for the bottomup fabrication of functional nanomaterials, and the selfassembledstructure depends on the interplay between moleculemolecule ...