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Now showing items 34-53 of 60

  • Large scale parallel network simulation 

    Lawless, Eoin (Trinity College (Dublin, Ireland). School of Mathematics, 2004)
    Simulation is one of the primary tools used in studying computer networks. However the difficulties of simulating a network grow with its size. With the hardware resources currently available it is not feasible to simulate ...
  • 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 ...
  • Methods for calculating option prices with early-exercise features 

    Cooney, Michael (Trinity College (Dublin, Ireland). School of Mathematics, 2006)
    In this dissertation we deal with two distinct methods for pricing financial options with early-exercise features. First we use finite difference methods to calculate the prices, examining in particular two new schemes ...
  • Methods of ascent and descent in multivariable spectral theory 

    Kitson, Derek (Trinity College (Dublin, Ireland). School of Mathematics, 2009)
    In this dissertation the theory of ascent and descent for a linear operator acting on a vector space is extended to arbitrary sets of operators and applied to the study of joint spectra for finite commuting systems of bounded ...
  • Modern aspects of topological gauge theories - Polynomial invariants and mock modular forms 

    KORPAS, GEORGIOS (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2019)
    In this dissertation we present new results in the field of topologically twisted gauge theories evaluated on compact four-manifolds without boundary. We focus on the Donaldson-Witten theory, that is the N = 2 topologically ...
  • 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 ...
  • Non-planar anomalous dimensions in super Yang-Mills theories 

    Spiering, Anne (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2022)
    Conformal supersymmetric Yang--Mills theories play an important role in the gauge-gravity correspondence and, despite being highly non-physical, have been a driving force for many new approaches in more realistic theories ...
  • 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 ...
  • On the Symanzik improvement of gradient flow observables 

    RUBEO, ARGIA (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2019)
    The gradient flow provides a new class of renormalised observables which can be measured with high precision in lattice simulations. This is relevant for many interesting applications. However, such applications are made ...
  • 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 ...
  • Ranges of bimodule projections and conditional expectations 

    Pluta, Robert (Trinity College (Dublin, Ireland). School of Mathematics, 2011)
    The algebraic theory of comer subrings introduced by Lam (as an abstraction of the properties of Peirce corners eRe of a ring R associated with an idempotent e E R) are investigated here in the context of Banach and ...
  • Resonances and lattice field theory 

    MacMaghnusa, Darran (Trinity College (Dublin, Ireland). School of Mathematics, 2012)
    In this thesis, we look at the extraction of resonance parameters in lattice field theory. In particular we detail two major methods of dealing with resonances and consider them in a perturbative and nonpertnrbative ...
  • 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 ...