Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 9 of 9 for “"Conformal transformations"”.
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An investigation into the use of conformal transformations in two-dimensional field theory.
… of this thesis is to investigate the use of Conformal Transformations in solving Laplace's equation for two-dimensional field problems. Conformal Transformations is one of several analytical methods available for this purpose and its usefulness is generally limited to those problems in which …
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Conformally Flat Spaces of Bounded Curvature
Here we show that if the logarithm of the conformal factor is subharmonic then the space has curvature bounded above by zero, and, subject to a growth constraint, if the logarithm of the conformal factor is subharmonic under all conformal transformations then the curvature is bounded below by zero. …
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Self-similarity in the conformal framework of quiescent cosmology and the Weyl curvature hypothesis
… the Weyl curvature hypothesis. We augment the conformal framework of this theory by incorporating the spacetime property of self-similarity. A generalisation of the conformal Killing equation is developed as a definition of asymptotic self-similarity for use in the framework; we derive several …
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Self-similarity in the conformal framework of quiescent cosmology and the Weyl curvature hypothesis
… the Weyl curvature hypothesis. We augment the conformal framework of this theory by incorporating the spacetime property of self-similarity. A generalisation of the conformal Killing equation is developed as a definition of asymptotic self-similarity for use in the framework; we derive several …
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Magnetic charges and phase space renormalization of gravity
… of all smooth volume-preserving Diff×Weyl transformations of the celestial S4. Using the covariant phase space formalism and a new technique which we present in this thesis (phase space renormalization), we are able to renormalize the symplectic potential using counterterms which are local …
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Added Mass and Vortical Impulse: Theory and Experiment
… of total vortical impulse to infinity-preserving conformal transformations. The practical utility of the GAMC formulation was investigated by applying it to a numerical simulation (generated by Wang and Eldredge (2013)) of the flow around a pitching plate in a steady free-stream flow. The …
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The Jet/CGC correspondence: a conformal perspective
This study aims to bridge, with the use of conformal transformations, two distinct applications of QCD which are encapsulated by evolution equations for associated observables. Superficially, the interjet energy flow multiplicity and the cross section of Deep Inelastic Scattering (DIS) at small-xbj …
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Advances in Complex Electromagnetic Media
… unique. It is natural, then, to seek optimized transformations which reduce the complexity of the final structure. It was recently demonstrated that for some transformations a numerical scheme could be employed to find quasi-conformal transformations for which the requisite complex material …
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On Gaussian multiplicative chaos and conformal field theory
This thesis is concerned with conformally invariant stochastic processes in two dimensions and their applications to conformal field theory (CFT). The main probabilistic objects are the Gaussian free field (GFF) and the random geometries associated to it. Especially, we are interested in Gaussian …