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Naszódi Márton: John ellipsoids of revolution |
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| The largest volume ellipsoid E contained in a convex body K in d-dimensional space is a central object in convexity. Fritz John gave conditions in terms of the contact points of K and E guaranteeing that E is of largest volume. In this ongoing joint work with Grigory Ivanov, Zsolt Lángi and Ádám Sagmeister, we study the problem of finding the largest volume ellipsoid of revolution in K. |
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