Browsing Pure & Applied Mathematics by Subject "Ph.D. Trinity College Dublin."
Now showing items 1-9 of 9
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A geometrical approach to spike train noise
(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 ... -
A non-perturbative study of the renormalisation of action parameters in anisotropic lattice QCD with applications to finite temperature QCD
(Trinity College (Dublin, Ireland). School of Mathematics, 2009)The advantages of using anisotropic lattices, instead of the more usual isotropic lattices, in QCD simulations are well estabhshed. Anisotropic lattices can be used to increase signal resolution and allow computational ... -
Decay widths from Euclidean quantum field theory a scalar model and applications to QCD
(Trinity College (Dublin, Ireland). School of Mathematics, 2009)Lüscher provided a method by which the Euclidean correlation function, used in lattice field theories, can be used to evaluate the scattering phase shift, side-stepping the Maiani-Testa Theorem. This result is explored in ... -
Efficient coding of sensory stimuli
(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 ... -
Methods of ascent and descent in multivariable spectral theory
(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 ... -
Ranges of bimodule projections and conditional expectations
(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
(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 ... -
Sigma models of the AdS/CFT correspondence
(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 ... -
Yang-Mills instantons on the taub-NUT space and supersymmetric N=2 gauge theories with impurities
(Trinity College (Dublin, Ireland). School of Mathematics, 2010)We write a formula for arbitrary charge calorons, instantons on R3 x S1, in terms of the Green's function of the Laplacian defined for the Nahm Transform, thus generalising the formula for the charge one caloron derived ...
