Browsing Mathematics (Scholarly Articles) by Title
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Extreme softness of brain matter in simple shear
(Elsevier, 20150313)We show that porcine brain matter can be modelled accurately as a very soft rubberlike material using the MooneyRivlin strain energy function, up to strains as high as 60%. This result followed from simple shear experiments ... 
Finite amplitude elastic waves propagating in compressible solids
(2005)The paper studies the interaction of a longitudinal wave with transverse waves in general isotropic and unconstrained hyperelastic materials, including the possibility of dissipation. The dissipative term chosen is similar ... 
Finite amplitude inhomogeneous waves in MooneyRivlin viscoelastic solids
(Elsevier, 200409)New exact solutions are exhibited within the framework of finite viscoelasticity. More precisely, the solutions correspond to finiteamplitude, transverse, linearly polarized, inhomogeneous motions superposed upon a finite ... 
Finiteamplitude inhomogeneous plane waves in a deformed MooneyRivlin material
(Oxford University Press, 2002)The propagation of finiteamplitude linearlypolarized inhomogeneous transverse plane waves is considered for a MooneyRivlin material maintained in a state of finite static homogeneous deformation. It is shown that such ... 
Finiteamplitude inhomogeneous plane waves of exponential type in incompressible elastic materials
(Kluwer Academic Publishers, 199905)It is proved that elliptically polarized finiteamplitude inhomogeneous plane waves may not propagate in an elastic material subject to the constraint of incompressibility. The waves considered are harmonic in time and ... 
Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces I
(2009)We define the partition and $n$point functions for a vertex operator algebra on a genus two Riemann surface formed by sewing two tori together. We obtain closed formulas for the genus two partition function for the ... 
Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces II
(2011)We continue our program to define and study $n$point correlation functions for a vertex operator algebra $V$ on a higher genus compact Riemann surface obtained by sewing surfaces of lower genus. Here we consider Riemann ... 
Generalised Moonshine and Abelian Orbifold Constructions
(1994)We consider the application of Abelian orbifold constructions in Meromorphic Conformal Field Theory (MCFT) towards an understanding of various aspects of Monstrous Moonshine and Generalised Moonshine. We review some of the ... 
Generalized Moonshine and orbifold constructions.
(Research Institute for Mathematical Sciences (Kokyuroku), 2002)A brief review is given of some of our recent work on Generalised Monstrous Moonshine using abelian orbifoldings of the Moonshine Module. 
A Generalized Vertex Operator Algebra for Heisenberg Intertwiners
(2011)We consider the extension of the Heisenberg vertex operator algebra by all its irreducible modules. We give an elementary construction for the intertwining vertex operators and show that they satisfy a complex parametrized ... 
Gent models for the inflation of spherical balloons
(Elsevier, 2015)We revisit an iconic deformation of nonlinear elasticity: the inflation of a rubber spherical thin shell. We use the 3parameter Mooney and GentGent (GG) phenomenological models to explain the stretchstrain curve of a ... 
Genus Two Meromorphic Conformal Field Theory
(1999)We construct the genus two (or two loop) partition function for meromorphic bosonic conformal field theories. We use a sewing procedure involving two genus one tori by exploiting an explicit relationship between the genus ... 
Genus Two Partition and Correlation Functions for Fermionic Vertex Operator Superalgebras I
(2010)We define the partition and $n$point correlation functions for a vertex operator superalgebra on a genus two Riemann surface formed by sewing two tori together. For the free fermion vertex operator superalgebra we obtain ... 
The Genus Two Partition Function for Free Bosonic and Lattice Vertex Operator Algebras
(2007)We define the $n$point function for a vertex operator algebra on a genus two Riemann surface in two separate sewing schemes where either two tori are sewn together or a handle is sewn to one torus. We explicitly obtain ... 
Glauberman's and Thompson's theorems for fusion systems
(American Mathematical Society, 200902)We prove analogues of results of Glauberman and Thompson for fusion systems. As a corollary, we obtain a stronger form of Frobenius' theorem for fusion systems, applicable under the above assumptions and generalizing another ... 
The gluing problem for some block fusion systems
(2010)We answer the gluing problem of blocks of finite groups (Linckelmann (2004) [7, 4.2]) for tame blocks and the principal pblock of PSL 3 ( p ) for p odd. In particular, we show that the gluing problem for the principal ... 
Guided waves in prestressed hyperelastic plates and tubes: Application to the ultrasound elastography of thinwalled soft materials
(Elsevier, 20170217)In vivo measurement of the mechanical properties of thinwalled soft tissues (e.g., mitral valve, artery and bladder) and in situ mechanical characterization of thinwalled artificial soft biomaterials in service are of ... 
A high rate tension device for characterizing brain tissue
(SAGE Journals, 20120308)The mechanical characterization of brain tissue at high loading velocities is vital for understanding and modeling traumatic brain injury. The most severe form of traumatic brain injury is diffuse axonal injury, which ... 
Higher torsion in the Abelianization of the full Bianchi groups
(Cambridge University Press (Cambridge Journals Online), 201309)Denote by Q(rootm), with m a squarefree positive integer, an imaginary quadratic number field, and by Om its ring of integers. The Bianchi groups are the groups SL2(Om). In the literature, so far there have been no ... 
The homological torsion of PSL_2 of the imaginary quadratic integers
(2013)The Bianchi groups are the groups (P)SL2 over a ring of integers in an imaginary quadratic number field. We reveal a correspondence between the homological torsion of the Bianchi groups and new geometric invariants, which ...