Pure & Applied Mathematics
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Pure & Applied Mathematics (Scholarly Publications)
Pure & Applied Mathematics (Scholarly Publications) 
Pure & Applied Mathematics (Theses and Dissertations)
Pure & Applied Mathematics (Theses and Dissertations)
Recent Submissions

Solutions to dilation equations
(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 ... 
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 ... 
Discrete exterior calculus with applications to flows and spinors
(Trinity College (Dublin, Ireland). School of Mathematics, 2005) 
Quantum spectral curve as a tool for a perturbative quantum field theory
(2015)An iterative procedure perturbatively solving the quantum spectral curve of planar N=4N=4 SYM for any operator in the slsl(2) sector is presented. A Mathematica notebook executing this procedure is enclosed. The obtained ... 
Spectroscopy of doubly charmed baryons from lattice QCD
(2015)We present the ground and excited state spectra of doubly charmed baryons from lattice QCD with dynamical quark fields. Calculations are performed on anisotropic lattices of size 163×128, with inverse spacing in temporal ...