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Now showing items 21-35 of 35

  • Multidimensional second order generalised stochastic processes on locally compact Abelian groups 

    Keville, Bernard (Trinity College (Dublin, Ireland). School of Mathematics, 2004)
    This thesis is concerned with the harmonic analysis of multidimensional generalised stochastic processes on locally compact Abelian groups. A multidimensional generalised stochastic process is a continuous linear operator ...
  • 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 ...
  • Peturbative study of the Chirally Rotated Schrödinger Functionality in Lattice QCD 

    Mainar, Pol Vilascea (Trinity College (Dublin, Ireland). School of Mathematics, 2014)
    In this thesis we study the renormalisation and O(a) improvement of the Chirally Rotated Schrödinger Functional (xSF) in perturbation theory. The xSF was originally proposed in [1] as a way of rehabiliting the mechanism ...
  • Pion-pion scattering amplitudes and timelike pion form factor from Nf=2+1 Lattice QCD 

    Hörz, Ben (Trinity College (Dublin, Ireland). School of Mathematics, 2017)
    We study isovector pion-pion scattering and extract the electromagnetic pion form factor in the timelike region from Nf = 2 + 1 Lattice QCD ensembles at a single lattice spacing and two pion masses mπ = 200MeV and mπ = ...
  • Quality improvement using Alexander moves 

    Golden, Darach (Trinity College (Dublin, Ireland). School of Mathematics, 2003)
    The objects under consideration in this work are simplicial meshes. We are interested in the geometric shape of the constituent simplices. This interest is justified by the impact of simplicial shape on the error bounds ...
  • 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 ...
  • Robust layer-resolving methods for various Prandtl problems 

    Butler, John (Trinity College (Dublin, Ireland). School of Mathematics, 2005)
    In this thesis we deal with four Prandtl boundary layer problems for incompressible laminar flow. When the Reynolds and Prandtl numbers are large the solution of each problem has parabolic boundary layers. For each problem ...
  • Sigma models of the AdS/CFT correspondence 

    Bykov, Dmitry Vladimirovich (Trinity College (Dublin, Ireland). School of Mathematics, 2011)
    The thesis is dedieated to the investigation of the properties of particular two-dimensional quantum field theories, i.e. sigma-models with target space of the form AdS5 x S5γ and AdS4 x CP3. The main results of the thesis ...
  • 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 ...
  • Solutions to dilation equations 

    Malone, David (Trinity College (Dublin, Ireland). School of Mathematics, 2001)
    This thesis aims to explore part of the wonderful world of dilation equations. Dilation equations have a convoluted history, having reared their heads in various mathematical fields. One of the early appearances was in the ...
  • Spectral functions from lattice QCD at finite temperature 

    Harris, Tim (Trinity College (Dublin, Ireland). School of Mathematics, 2015)
    An investigation of the bottonionium spectrum above and below the QCD deconfinement crossover temperature, Tc, was performed using a non-relativistic treatment of the heavy quark on anisotropic lattices with Nf = 2 + 1 ...
  • Spectroscopy and scattering of mesons containing charm quarks from lattice QCD 

    Moir, Graham (Trinity College (Dublin, Ireland). School of Mathematics, 2013)
    We present excited spectra of mesons containing charm-light (D), charm-strange (Ds) and charm-charm (charmoninm) combinations. We perform these spectroscopic calculations on two volumes. 16(3) X 128 and 24(3) x 128, of ...
  • Spike train analysis 

    Cooney, Cathal (Trinity College (Dublin, Ireland). School of Mathematics, 2015)
    This thesis focuses on the study of spike trains, the information carrying signals conveyed by neurons in the nervous system. Spiking data from songbirds from [Narayan et al., 2006] was used prominently in this thesis. ...
  • Static-light-light baryons : a spectroscopic study using distillation 

    Mc Elroy, Finnian (Trinity College (Dublin, Ireland). School of Mathematics, 2013)
    Over the last decade, hadron spectroscopy in lattice QCD has graduated from calculating single rows of the quark propagation matrix to calculating all elements of the quark propagation matrix - the so-called all-to-all ...
  • The radiation bound for a Klein-Gordon field on a static spherical spacetime 

    Collins, Michael Patrick (Trinity College (Dublin, Ireland). School of Mathematics, 2013)
    We establish a well-posed Cauchy problem in Minkowski (R4, η), associated with a radiating Klein-Gordon field ψ(x) = eztψ(xi), in curvature coordinates {xμ = t, p, θ,Φ} on a static spherically symmetric spacetime (M, g). ...