Recent Submissions

  • 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 ...
  • Elements of an operator calculus 

    Hughes, Arthur (Trinity College (Dublin, Ireland). School of Mathematics, 2001)
    The operational calculus developed by the Irish School of the Vienna Development Method (VDM) has a life of its own independent of its applications. This thesis is interested in the operational calculus that arose from the ...
  • Interferometry and non-equilibrium noise in the fractional quantum Hall effect 

    Smits, Olaf (Trinity College (Dublin, Ireland). School of Mathematics, 2014)
    We study theoretical aspects of fractional quantum Hall devices based on tunnelling point contacts. The fractional quantum Hall effect is the prime example of a (2 + 1) dimensional system with non-trivial topological order. ...
  • 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 = ...
  • Higher Spin Theories in Twistor Space 

    HÄHNEL, PHILIPP (Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2018)
    In this thesis we formulate an action principle for conformal higher spin theory on twistor space. For this theory, and for a unitary sub-sector that we identify, we construct an MHV amplitude expansion by considering ...

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