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 15 of 15 for “"closed curves"”.
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Certain free group functions and untangling closed curves on surfaces
… primarily addresses the problem of untangling closed geodesics in finite covers of hyperbolic surfaces. Our motivation comes from results of Scott and Patel. Scott's result tells us that one can always untangle a closed geodesic on a hyperbolic surface in a finite degree cover. Our goal is to …
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Virtual strings for closed curves with multiple components and filamentations for virtual links
… is a combinatorial formulation of a generic closed curve with multiple components on some surface. A virtual string is a collection of circles with arrows that represent the crossings of such a curve. We use the theory of virtual strings to obtain a combinatorial description of closed curves …
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Rigidity of length functions over strata of flat metrics
… and sufficient condition for a set of simple closed curves to be spectrally rigid over a stratum with enough complexity, extending a result of Duchin-Leininger-Rafi. Specifically, for any stratum with more unmarked zeroes than the genus, the Sigma-length-spectrum of a set of simple closed …
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On the usage of the curvature for the comparison of planar curves
Given two curves, on the plane or in space, or surfaces, looking for a deformation from one into another such that the transformation is gradual and continuous is an open and interesting problem both from a theoretical stand point and for the applications that can be envisaged. In particular, if …
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Combinatorial models for surface and free group symmetries
… class group by describing its action on simple closed curves. Similar complexes of spheres, free factors, and free splittings allow combinatorial representation of the automorphisms of a free group. We consider a Birman exact sequence for combinatorial models of mapping class groups and free …
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Bayesian Nonparametric Modeling and Theory for Complex Data
… function supported on a lower dimensional space, closed curves representing the boundaries of shapes in 2D images and closed surfaces located on or near the point cloud data. Characterizing the distribution of these objects has a tremendous impact in several application areas ranging from tumor …
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Zero-dimensional spaces and their inverse limits
… to the inverse limits on simple triods or simple closed curves. In addition to that, we introduce a class of zero-dimensional spaces that can be obtained as the inverse limits of arcs. We complete by answering a problem by Kelly and Meddaugh about the limits of inverse limits"--Abstract, page iv.
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Navigation in an unfamiliar environment using signal intensity
… the level sets are concentric images of simple closed curves, i.e. topological circles. Convergence analysis and distance bounds are established for the presented approach. The algorithm is then experimentally verified using a differential drive robot and an infrared beacon.
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Orbit maps of local S¹- actions on manifolds of dimension less than five
… X is a decomposition of X into points and simple closed curves such that each element of the decomposition has an invariant neighborhood admitting an effective action of S<sup>1</sup> whose orbits are elements of the decomposition. Let M be a compact connected PL n-manifold without boundary, and …
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Computation of plane potential flow in multiple connected domains using series methods and conformal mapping
… in multiply-connected domains exterior to any closed curves. This is achieved by computing the potential flow over an appropriate circle domain and mapping this result to the desired physical domain using an approximation of the Laurent series for the conformal map. Circulations around each …
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Tightening curves and graphs on surfaces
Any continuous deformation of closed curves on a surface can be decomposed into a finite sequence of local changes on the structure of the curves; we refer to such local operations as homotopy moves. Tightening is the process of deforming given curves into their minimum position; that is, those …
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Integrability, localisation and bifurcation of an elastic conducting rod in a uniform magnetic field
… flows. Poincare sections then show closed curves. Through Mel'nikov analysis it is shown that for an extensible rod the presence of a magnetic field leads to the transverse intersection of the stable and unstable manifolds and the loss of complete integrability. Consequently, the …
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Dynamically Corrected Quantum Control: A Geometrical Framework
… quasi-static transversal noise corresponds to a closed curve on a two-dimensional plane, and more general first-order robust single-qubit gates correspond to closed three-dimensional space curves. Second-order robust gates correspond to closed curves having the property that their projection onto …
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Constant Orbital Momentum Equilibrium Trajectories of a Gyrostat-Satellite
… defined. It is shown via example that COMETs are closed-curves in SO(3). Visualizations of families of COMETs are presented and discussed in detail. A subset of COMETs are shown to contain critical points that represent isolated relative equilibrium attitudes or furcations of the COMET. The …
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Complexes with invert points
… over a finite set of points or a union of simple closed curves [n above ⋃ and i = 1 below that symbol], such that Sᵢ ⋂ Sⱼ = p, i ≠ j. It is proved that, if C² may be expressed as the monotone union of closed 2-cells. Also if the link of an open cone neighborhood of an invert point in a 2 - complex …