School of Mathematics: Recent submissions

Now showing items 1-20 of 132

    • Jordan systems, bounded symmetric domains and associated group orbits with holomorphic and CR extension theory 

      Matthews, John Alphonsus (Trinity College (Dublin, Ireland). School of Mathematics, 2006)
      The first chapter will deal with the one to one correspondence between the positive hermitian Jordan triple systems and the bounded symmetric domains. We start by defining the various Jordan systems. Then we continue by ...

    • TT deformations of non-relativistic models 

      Frolov, Sergey; Esper, Chantelle (2021)
      The light-cone gauge approach to TT¯¯¯¯ deformed models is used to derive the TT¯¯¯¯ deformed matrix nonlinear Schrödinger equation, the Landau-Lifshitz equation, and the Gardner equation. Properties of one-soliton solutions ...

    • Efficient coding of sensory stimuli 

      Greene, Garrett (Trinity College (Dublin, Ireland). School of Mathematics, 2011)
      An important goal of mathematical neuroscience is to understand the coding principles governing the behaviour of sensory systems under stimulation. Here, we investigate the theory of efficient coding in nenral sensory ...

    • A geometrical approach to spike train noise 

      Gillespie, James B. (Trinity College (Dublin, Ireland). School of Mathematics, 2012)
      Mathematically, spike trains are elusive processes. They encode information, although how this information is contained in a spike train is still not clear. Same-stimulus spike trains display structural similarities, yet ...

    • QCD Coupling from a Nonperturbative Determination of the Three-Flavor ?? Parameter 

      Sint, Stefan; Fritzsch, Patrick (2017)
      We present a lattice determination of the Λ parameter in three-flavor QCD and the strong coupling at the Z pole mass. Computing the nonperturbative running of the coupling in the range from 0.2 to 70 GeV, and using ...

    • An Anisotropic preconditioning for the Wilson fermion matrix on the lattice 

      Peardon, Michael (2010)
      A preconditioning for the Wilson fermion matrix on the lattice is defined, which is particularly suited to the case when the temporal lattice spacing is much smaller than the spatial one. Details on the implementation of ...

    • Phase shift with LapH propagators 

      Peardon, Michael (2010)
      The pion-pion scattering phase shift is computed using LapH propagators. The LapH method for computing quark propagators is used to form two-particle correlation functions with a number of different operators. Excited ...

    • Comparing the excitations of the periodic flux tube with effective string models. 

      Maresca, Francesca (Trinity College (Dublin, Ireland). School of Mathematics, 2005)
      The spectrum of a periodic flux tube in pure SU(3) Yang-Mills theory is evaluated non-perturbatively through computations on the lattice in the region from intermediate to long distances (1.5 < L < 4 fm ). For these flux ...

    • Logarithmic asymptotics in Queueing Theory and Risk Theory 

      Duffy, Ken (Trinity College (Dublin, Ireland). School of Mathematics, 2000)
      This thesis addresses four distinct, but related, problems. All four involve large deviation theory. The first problem is to relate the logarithmic asymptotics of the single server queue length distribution to the long ...

    • A formulation of discrete differential geometry applied to fermionic lattice field theory and its implications for chiral symmetry 

      Watterson, Steven (Trinity College (Dublin, Ireland). School of Mathematics, 2008)
      In this thesis, we develop the Geometric Discretization formulation of Dirac-Kahler fermions. We note that the naive definition of chiral synnnetry is only approximately captured in the formulation. However, we show that ...

    • A theoretical study of spin filtering and its application to polarizing antiprotons 

      O'Brien, Domhnaill (Trinity College (Dublin, Ireland). School of Mathematics, 2008)
      There has been much recent research into possible methods of polarizing an antiproton beam, the most promising being spin filtering, the theoretical understanding of which is currently incomplete. The method of polarization ...

    • Simulated annealing of Skyrme model configurations 

      Magee, Shane (Trinity College (Dublin, Ireland). School of Mathematics, 2006)
      The Skyrme model is a topological field theory that has been shown to be a good low energy approximation to QCD. A particular quantum theoretical treatment of the model reduces the quantization to a finite-dimensional ...

    • Novel methods for heavy-quark physics from lattice QCD 

      Foley, Justin (Trinity College (Dublin, Ireland). School of Mathematics, 2006)
      The application of 3+1 anisotropic lattices to numerical simulations of hadrons containing heavy quarks is investigated. It is expected that using a fine temporal lattice spacing will suppress large mass-dependent errors ...

    • Complexity of Holographic Flavours and causality in QFTs with Gauss-Bonnet dual 

      GARCIA ABAD, FRANCISCO JOSE (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2019)
      This thesis is the compilation of two different projects undertaken during my PhD programme. Chapter 2 covers the work on quantum complexity. Quantum complexity of a thermofield double state in a strongly coupled quantum ...

    • Random sampling and large deviations 

      McGurk, Brian (Trinity College (Dublin, Ireland). School of Mathematics, 2001)
      In this thesis, we are concerned with the effect of randomly sampling a stochastic process. We consider two stochastic processes: the underlying process, {Xt}tεT and the observation process {Tn}nεN, a strictly increasing ...