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Skip to Search Results- 1Banach-Mazur distance
- 1Convex bodies
- 1Convex geometry
- 1Geometric inequalities
- 1Independence numbers
- 1Isotropic constants
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Fall 2013
We present some inequalities in convex geometry falling under the broad theme of quantifying complexity, or deviation from particularly pleasant geometric conditions: we give an upper bound for the Banach--Mazur distance between an origin-symmetric convex body and the $n$-dimensional cube which...
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Fall 2010
This thesis is based on three papers on selected topics in Asymptotic Geometric Analysis. The first paper is about the volume of high-dimensional random polytopes; in particular, on polytopes generated by Gaussian random vectors. We consider the question of how many random vertices (or ...