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 5 of 5 for “"hyperbolic metric"”.
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Self-similarity of Random Aggregation Trees in Hyperbolic Spaces
… naturally once a network is embedded into a hyperbolic space of a negative curvature. This thesis develops this general idea in application to the self-similar structure of rooted trees. We use a self-similarity framework based on the Horton-Strahler orders of tree branches and Tokunaga …
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The geometry of end-periodic mapping tori
… if $f$ is atoroidal, then $M_f$ admits a hyperbolic metric. Such maps admit invariant \emph{positive and negative Handel-Miller laminations}, $\Lambda^+$, $\Lambda^-$, whose leaves naturally project to the arc and curve complex of a given compact subsurface $Y\subset S$. As an end-periodic …
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Paracausal deformations, M{\o}ller operators, and Hadamard states in CCR AQFT.
… under finite global variations of the spacetime metric tensor? To answer this question a new deformation tool, the paracausal deformation, is developed and studied on its own as a new approach to investigate the structure of the space of globally hyperbolic metric tensors associated with a smooth …
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Length functions in flat metrics
… of curves coming from various spaces of at metrics on a genus g >1 surface. We prove an analog of a result of Randol (building on work of Horowitz) for subfamilies of at metrics coming from q-di erentials. In addition we also describe how these equivalence relations are related to each other.
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Conformal pseudo-metrics and some applications
… parts. In a first step we construct a conformal metric in a bounded regular domain $G\subset \mathbb{C}$ with prescribed non-positive Gaussian curvature $k(z)$ and prescribed singularities by solving the first boundary value problem for the Gaussian curvature equation $\Delta u =-k(z) e^{2u}$ in …