Browsing School of Mathematics, Statistics and Applied Mathematics by Title
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Accessing the cohomology of discrete groups above their virtual cohomological dimension
(2014)We introduce a method to explicitly determine the FarrellTate cohomology of discrete groups. We apply this method to the Coxeter triangle and tetrahedral groups as well as to the Bianchi groups, i.e. PSL_2 over the ring ... 
Acoustic waves at the interface of a prestressed incompressible elastic solid and a viscous fluid
(Elsevier, 20061110)We analyse the influence of prestress on the propagation of interfacial waves along the boundary of an incompressible hyperelastic halfspace that is in contact with a viscous fluid extending to infinity in the adjoining ... 
An algorithm for the unit group of the Burnside ring of a finite group
(Cambridge University Press, 200701)In this note we present an algorithm for the construction of the unit group of the Burnside ring Ω(G) of a finite group G from a list of representatives of the conjugacy classes of subgroups of G. 
Analogues of Goldschmidt's thesis for fusion systems
(Elsevier, 20101215)We extend the results of David Goldschmidt's thesis concerning fusion in finite groups to saturated fusion systems and to all primes. 
Analysis of an Observational Studies  An Example Using Data from the Irish Cancer Registry
(2011)The study presented below aimed to compare survival of colorectal cancer patients against survival of a subpopulation with a secondary disease, in ammatory bowel disease (IBD). The data were taken from a observational ... 
Analysis of an Observational Study
(2011)The study presented below aimed to compare survival of colorectal cancer patients against survival of a subpopulation with a secondary disease, in ammatory bowel disease (IBD). The data were taken from a observational ... 
Analyzing timecourse microarray data using functional data analysis  a review
(Statistical Applications in Genetics and Molecular Biology, 201105)Gene expression over time can be viewed as a continuous process and therefore represented as a continuous curve or function. Functional data analysis (FDA) is a statistical methodology used to analyze functional data ... 
The annual GiG: Groups in Galway
(NUI Galway, 2015)The GiG (Groups in Galway) conference, and related activity, has been running annually since 1978 and is the longest running annual international mathematical conference on a special topic. It has its origin from the ... 
Asymptotic results for bifurcations in pure bending of rubber blocks
(Oxford Journals, 200803)The bifurcation of an incompressible neoHookean thick block with a ratio of thickness to length n, subject to pure bending, is considered. The two incremental equilibrium equations corresponding to a nonlinear prebuckling ... 
At least three invariants are necessary to model the mechanical response of incompressible, transversely isotropic materials
(Springer, 20130418)The modelling of offaxis simple tension experiments on transversely isotropic nonlinearly elastic materials is considered. A testing protocol is proposed where normal force is applied to one edge of a rectangular specimen ... 
Automated estimation of collagen fibre dispersion in the dermis and its contribution to the anisotropic behaviour of skin
(Springer, 201208)Collagen fibres play an important role in the mechanical behaviour of many soft tissues. Modelling of such tissues now often incorporates a collagen fibre distribution. However, the availability of accurate structural data ... 
Bayesian Model Specification: Some problems related to model choice and calibration
(2011)In the development of Bayesian model specification for inference and prediction we focus on the conditional distributions p([theta],[beta]) and p(D[theta],[beta]), with data D and background assumptions [beta], and ... 
Bending instabilities of soft biological tissues
(Elsevier, 20091215)Rubber components and soft biological tissues are often subjected to large bending deformations while 'in service'. The circumferential line elements on the inner face of a bent block can contract up to a certain critical ... 
Bimodular rubber buckles early in bending
(Elsevier, 20091203)A block of rubber eventually buckles under severe flexure, and several axial wrinkles appear on the inner curved face of the bent block. Experimental measurements reveal that the buckling occurs earlier  at lower compressive ... 
Bioassay models with natural mortality and random effects
(2011)In fitting doseresponse models to entomological data it is often necessary to take account of natural mortality and/or overdispersion. The standard approach to handle natural mortality is to use Abbott¿s formula. Standard ... 
Bioassays with natural mortality: handling overdispersion using random effects
(2011)In fitting doseresponse models to entomological data it is often necessary to take account of natural mortality and/or overdispersion. The standard approach to handle natural mortality is to use Abbott's formula (Abbott, ... 
BleusteinGulyaev waves in some functionally graded materials
(Elsevier, 20060228)Functionally Graded Materials are inhomogeneous elastic bodies whose properties vary continuously with space. Hence consider a halfspace (x2>0) occupied by a special Functionally Graded Material made of an hexagonal (6 ... 
The BMR freeness conjecture for the 2reflection groups
(American Mathematical Society, 20161012)We prove the freeness conjecture of Broue, Malle and Rouquier for the Hecke algebras associated to the primitive complex 2reflection groups with a single conjugacy class of reflections. 
The bosonic vertex operator algebra on a genus g Riemann surface
(201108)We discuss the partition function for the Heisenberg vertex operator algebra on a genus g Riemann surface formed by sewing handles to a Riemann sphere. In particular, it is shown how the partition can be computed by means ... 
Catastrophic thinning of dielectric elastomers
(American Physical Society, 20170215)We provide an energetic insight into the catastrophic nature of thinning instability in soft electroactive elastomers. This phenomenon is a major obstacle to the development of giant actuators, yet it is neither completely ...