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 9 of 9 for “"isoperimetric inequality"”.
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An Isoperimetric Inequality for Fundamental Tones of Free Plates
We adapt Weinberger's method from the corresponding free membrane problem, taking the fundamental modes of the unit ball as trial functions. These solutions are a linear combination of Bessel and modified Bessel functions.
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Quantitative embeddings with applications
… to a problem in metric geometry related to the isoperimetric inequality and a problem about constructing local quantum error-correcting codes.
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Geometric rigidity estimates for isometric and conformal maps from S^(n-1) to R^n
… latter is motivated by the classical Euclidean isoperimetric inequality.
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Saddle Surfaces
… we obtain a stronger result based on an isoperimetric inequality for a saddle surface. Finally, we show that a saddle surface in a three-dimensional space of nonzero constant curvature kappa is a space of curvature not greater than kappa in the sense of A. D. Aleksandrov, which …
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Convex Geometric Connections to Information Theory
… for convex bodies and its relation to affine isoperimetric inequalities is considered. Other connections are made by considering quantum information theory. The fundamental objects in quantum information theory are quantum states. The set of states is convex as are some of its important …
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Floer theory and spectral networks
… paper, we extend Groman and Solomon's reverse isoperimetric inequality to pseudoholomorphic curves with punctures at the boundary and whose boundary components lie in a collection of Lagrangian submanifolds with intersections locally modelled on $\RR^n\cap (\RR^{k}\times \sqrt{-1}\RR^{n-k})$ …
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Pseudoholomorphic quilts with figure eight singularity
… singularity. I conclude by proving a "quilted" isoperimetric inequality. In the third part, which is joint with Katrin Wehrheim, I use my collection of estimates to prove a Gromov compactness theorem for quilts with a strip of (possibly non-constant) width shrinking to zero. This features local …
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Sparse graph codes for compression, sensing, and secrecy
… extractors. Finally, we use several well-known isoperimetric inequalities (Harper's inequality, Azuma's inequality, and the Gaussian Isoperimetric inequality) in our analysis of the duality between lossy source coding and channel coding.
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Relating diameter and mean curvature for varifolds
The main results of this thesis are formulated in a class of surfaces (varifolds) generalizing closed and connected smooth submanifolds of Euclidean space which allows singularities. Given an indecomposable varifold with dimension at least two in some Euclidean space such that the first variation …