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.
Results
Showing 1 to 20 of 23 for “"Hyperbolic Geometry"”.
-
The hyperboloid model of hyperbolic geometry
… introduce and develop the hyperboloid model of Hyperbolic Geometry. In order to do that, some time is spent on Neutral Geometry as well as Euclidean Geometry; these are used to build several models of Hyperbolic Geometry. At this point the hyperboloid model is introduced, related to the other …
-
The hyperboloid model of hyperbolic geometry
… introduce and develop the hyperboloid model of Hyperbolic Geometry. In order to do that, some time is spent on Neutral Geometry as well as Euclidean Geometry; these are used to build several models of Hyperbolic Geometry. At this point the hyperboloid model is introduced, related to the other …
-
Applications of hyperbolic geometry in physics
… was to see how the fundamental properties of hyperbolic geometry applies in physics.
-
Stable isoperimetric ratios and hyperbolic geometry
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-11-11 without embargo terms
-
Problems in number theory and hyperbolic geometry
… analog of D. Calegari’s result that there are no hyperbolic once-punctured torus bundles over S^1 with trace field having a real place. We prove a contrasting theorem showing the existence of several infinite families of pairs (−χ, p) such that there exist hyperbolic surface bundles over S^1 with …
-
Hyperbolic String Field Theory
… elementary interactions are parameterized using hyperbolic geometry. We introduce a systematic procedure to characterize its off-shell data: the local coordinates around punctures on Riemann surfaces as a function of complex structure and the vertex regions in the relevant moduli spaces over …
-
Modelos para geometria hiperbólica.
… of the discovery of a type of non-Euclidean geometry, namely the hyperbolic geometry. Featuring some of their properties and that the models represent.
-
A KLEINIAN APPROACH TO FUNDAMENTAL REGIONS
<p>This thesis takes a Kleinian approach to hyperbolic geometry in order to illustrate the importance of discrete subgroups and their fundamental domains (fundamental regions). A brief history of Euclids Parallel Postulate and its relation to the discovery of hyperbolic geometry be given first. We …
-
MUTATION INVARIANT FUNCTIONS ON CLUSTER ENSEMBLES ASSOCIATED WITH SURFACES
… cluster algebras associated with surfaces using hyperbolic geometry, Teichm\'uller theory and skein algebras of surfaces. We complete a classification of them for surface ensembles for the action of Dehn twists, and generalize this classification to the non-surface mutation finite setting. We use …
-
Hyperbolic Property of Earthquake Networks
… geometric analysis and, particularly, hyperbolic embedding of the examined networks has facilitated network analysis in various applied fields during the recent decade. This thesis is focused on exploring hyperbolic properties of the earthquake networks. We examine the geometry of …
-
Development of a Laminar Construction Quadrupole Ion Trap
… approximation. The laminar construction allows hyperbolic geometry to be well approximated with minimal construction effort and also provides more access into the trap through interlaminar spaces without disruption of the field. The performance of the trap is examined in the mass selective …
-
ADVERTISEMENT ALLOCATION AND TRUST MECHANISMS DESIGN IN SOCIAL NETWORKS
… the connection between social networks and hyperbolic geometry, we propose to solve the problem via approximation using hyperbolic embedding and convex optimization. A hyperbolic embedding method, \hcm, is designed for the SNS ad allocation problem, and several components are introduced to …
-
Tightening curves and graphs on surfaces
… surface theory, combinatorial topology, and hyperbolic geometry. We develop several new tools to construct efficient algorithms on tightening curves and graphs, as well as to present examples where no efficient algorithm exists. We then argue that in order to study electrical transformations, …
-
Algorithmic problems in 3-manifold topology and geometry
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-09-16 without embargo terms
-
Structures & algorithms in hyperbolic random graphs
… either not present or artificially enforced. Hyperbolic random graphs bridge this gap by assuming an underlying geometry to the graph: Each vertex is assigned coordinates in the hyperbolic plane, and two vertices are connected if they are nearby. Clustering then emerges as a natural …
-
Learning structured representations with hyperbolic embeddings
Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2026-05-01
-
Hyperbolic transformations on cubics in H²
… of this thesis is to study the effects of hyperbolic transformations on the cubic that is determined by locus of centroids of the equilateral triangles in H² whose base coincides with the line y=0, and whose common vertex is at the origin. The derivation of the formulas within this work are …
-
Hyperbolic transformations on cubics in H²
… of this thesis is to study the effects of hyperbolic transformations on the cubic that is determined by locus of centroids of the equilateral triangles in H² whose base coincides with the line y=0, and whose common vertex is at the origin. The derivation of the formulas within this work are …
Page 1 of 2