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 7 of 7 for “"spectral curves"”.
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Evaluation and Application of a New Shape-sensitive Metric Useful for Characterizing Both Spectral Curves and Lidar Waveforms
<p>This dissertation seeks to investigate hyperspectral and waveform LiDAR datasets through a new analytical framework called Moment Distance method that uses a metric derived from the shape of the curve (spectral or waveform). In the case of hyperspectral data, the shape of the reflectance curve …
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Flat surfaces of finite type in the 3-sphere
… the algebro-geometric description in terms of spectral curves and polynomial Killing fields, and show that finite type flat surfaces generated by curves on S2 with periodic curvature functions are dense in the space of all flat surfaces generated by curves on S2 with periodic curvature …
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Langlands Duality in the Generic Fibres of Classical Hitchin Fibrations
… such as Bertini's theorem, to ensure the generic spectral curves are either smooth or have mild singularities. Moreover, we compute the generic bres for each classical simple Lie group and GLn. Akin to Hitchin's result, the bres are torsors of abelian varieties, and we demonstrate Langlands …
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A spectral description of the spin Ruijsenaars-Schneider system
… duality between trigonometric CM and rational RS spectral curves coming from the two descriptions in terms of supports of spectral sheaves.
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Floer theory and spectral networks
… of the poles of $\phi$. In the case where the spectral curve $\Sigma_{\phi}$ is exact with respect to the canonical Liouville form on $T^{\ast}\tilde{C}$, we show that an ``almost flat" $GL(1;\mathbb{C})$-local system $\mathcal{L}$ on $\Sigma_{\phi}$ defines a Floer cohomology local system …
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Scalable Estimation and Testing for Complex, High-Dimensional Data
… forms, including brain images, medical spectrum curves, engineering signals, etc. These data provide a rich source of information on disease development, cell evolvement, engineering systems, and many other scientific phenomena. To achieve a clearer understanding of the underlying mechanism, one …
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Spiky strings and the AdS/CFT correspondence
… of a hyperelliptic Riemann surface, the spectral curve, which encodes, albeit in a rather implicit fashion, the semiclassical spectrum of a very large family of string solutions. Then, we show that, in the large angular momentum limit, the spectral curve separates into two distinct …