Pure & Applied Mathematics MSc Theses
Recent Submissions

Jordan systems, bounded symmetric domains and associated group orbits with holomorphic and CR extension theory
(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 ... 
A performance study of a template C++ class for parallel Monte Carlo simulations of local statistical field theories on a three dimensional lattice
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2020)In this thesis we investigate the performance properties of a template C++ class designed to run parallel Monte Carlo simulations of local statistical field theories on a three dimensional lattice. The generic nature of ... 
Fourier analysis, multiresolution analysis and dilation equations
(Trinity College (Dublin, Ireland). School of Mathematics, 1998)This thesis has essentially two parts. The ﬁrst two chapters are an introduction to the related areas of Fourier analysis, multiresolution analysis and wavelets. Dilation equations arise in the context of multi resolution ...