Remarks on the geometry of coordinate projections in R^n
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Mendelson, Shahar
Vershynin, Roman
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Magnes Press
Abstract
We study geometric properties of coordinate projections. Among other results, we show that if a body K ⊂ ℝn has an "almost extremal" volume ratio, then it has a projection of proportional dimension which is close to the cube. We also establish a sharp
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Israel Journal of Mathematics