Now showing items 67-86 of 232

    • Generalised Moonshine and Abelian Orbifold Constructions 

      Tuite, Michael P. (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 ...
    • Generalization of the Zabolotskaya equation to all incompressible isotropic elastic solids 

      Destrade, Michel; Pucci, Edvige; Saccomandi, Giuseppe (The Royal Society, 2019-07-03)
      We study elastic shear waves of small but finite amplitude, composed of an anti-plane shear motion and a general in-plane motion. We use a multiple scales expansion to derive an asymptotic system of coupled nonlinear ...
    • Generalized Moonshine and orbifold constructions. 

      Ivanov, R.I., Tuite, M.P. (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 

      Tuite, Michael P.; Zuevsky, Alexander (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 

      Mangan, Robert; Destrade, Michel (Elsevier, 2015)
      We revisit an iconic deformation of non-linear elasticity: the inflation of a rubber spherical thin shell. We use the 3-parameter Mooney and Gent-Gent (GG) phenomenological models to explain the stretch-strain curve of a ...
    • Genus Two Meromorphic Conformal Field Theory 

      Tuite, Michael P. (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 

      Tuite, Michael P.; Zuevsky, Alexander (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 ...
    • Genus two partition and correlation functions for fermionic vertex operator superalgebras II 

      Tuite, Michael P.; Zuevsky, Alexander (2018-10-18)
      We define and compute the continuous orbifold partition function and a generating function for all n-point correlation functions for the rank two free fermion vertex operator superalgebra on a genus two Riemann surface ...
    • The Genus Two Partition Function for Free Bosonic and Lattice Vertex Operator Algebras 

      Mason, Geoffrey; Tuite, Michael P. (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 ...
    • Genus two virasoro correlation functions for vertex operator algebras 

      Tuite, Michael P.; Gilroy, Thomas (2016-12-06)
      We consider all genus two correlation functions for the Virasoro vacuum descendants of a vertex operator algebra. These are described in terms of explicit generating functions that can be combinatorially expressed in terms ...
    • Genus two zhu theory for vertex operator algebras 

      Tuite, Michael P.; Gilroy, Thomas (2016-10-27)
      We consider correlation functions for a vertex operator algebra on a genus two Riemann surface formed by sewing two tori together. We describe a generalisation of genus one Zhu recursion where we express an arbitrary genus ...
    • Glauberman's and Thompson's theorems for fusion systems 

      Park, Sejong (American Mathematical Society, 2009-02)
      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 

      Park, Sejong (2010)
      We answer the gluing problem of blocks of finite groups (Linckelmann (2004) [7, 4.2]) for tame blocks and the principal p-block of PSL 3 ( p ) for p odd. In particular, we show that the gluing problem for the principal ...
    • Guided waves in pre-stressed hyperelastic plates and tubes: Application to the ultrasound elastography of thin-walled soft materials 

      Li, Guo-Yang; Mangan, Robert; Xu, Guoqiang; Mo, Chi; Luo, Jianwen; Destrade, Michel; Cao, Yanping (Elsevier, 2017-02-17)
      In vivo measurement of the mechanical properties of thin-walled soft tissues (e.g., mitral valve, artery and bladder) and in situ mechanical characterization of thin-walled artificial soft biomaterials in service are of ...
    • A high rate tension device for characterizing brain tissue 

      Destrade, Michel (SAGE Journals, 2012-03-08)
      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 

      Rahm, Alexander D. (Cambridge University Press (Cambridge Journals Online), 2013-09)
      Denote by Q(root-m), with m a square-free positive integer, an imaginary quadratic number field, and by O-m its ring of integers. The Bianchi groups are the groups SL2(O-m). In the literature, so far there have been no ...
    • The homological torsion of PSL_2 of the imaginary quadratic integers 

      Rahm, Alexander D. (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 ...
    • Homology and K-theory of the Bianchi groups 

      Rahm, Alexander D. (2011)
      We reveal a correspondence between the homological torsion of the Bianchi groups and new geometric invariants, which are effectively computable thanks to their action on hyperbolic space. We use it to explicitly compute ...
    • Hyperelastic and viscoelastic properties of brain tissue in tension 

      Destrade, Michel; Gilchrist, Michael D. (ASME, 2012)
      Mechanical characterization of brain tissue at high loading velocities is particularly important for modelling Traumatic Brain Injury (TBI). During severe impact conditions, brain tissue experiences a mixture of compression, ...
    • Improved mathematical and numerical modelling of dispersion of a solute from a continuous source 

      Madden, Niall (2011)
      We present a refinement of a model due to Mondal and Mazumder [7] for dispersion of fine particles in an oscillatory turbulent flow. The model is based on the time-dependent advection-diffusion equation posed on a ...