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 6 of 6 for “"Hyperbolic spaces"”.
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Boundaries and hierarchically hyperbolic spaces
Although the hierarchically hyperbolic space boundary is a generalization of the Gromov boundary, we will show there are fundamental differences between the two. First, we provide negative answers to questions posed by Durham, Hagen, and Sisto on the existence of boundary maps for some …
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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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Geometric mapping theory of the Heisenberg group, sub-Riemannian manifolds, and hyperbolic spaces
… to study derivatives of mappings between such spaces. As a subgroup of the isometry group of complex hyperbolic space $\Hyp^{n+1}_\C$, $\Heis^n$ becomes a large-scale model of a rank-one symmetric space and provides rigidity results in $\Hyp^{n+1}_\C$. After discussing homotheties and conformal …
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Recobrimentos no espaço hiperbólico e percolação na árvore binária estendida
… structure that exhibits geometric features of hyperbolic spaces: a non-vanishing surface-volume ratio, the latter being compact. The violation of Euclid s fifth postulate, assuring the possibility of an infinity of paralel to a given ray meeting at a point, allows for a richer set of phenomena, …
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Basic functional and geometric inequalities for the fractional order operators on homogenous Lie groups
… Hardy inequalities on homogeneous Lie groups, hyperbolic spaces and Cartan- Hadamard manifolds with q < 0, p ∈ (0,1). As consequences, we show reverse Hardy-Littlewood-Sobolev, Stein-Weiss and improved version Stein-Weiss inequali- tiesforcasesq<0,p∈(0,1)and−∞<q≤p<0. Inaddition,weobtain reverse …