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Remarks on the geometry of coordinate projections in R^n

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Mendelson, Shahar
Vershynin, Roman

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Magnes Press

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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

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