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math.MG2015
Spherical Localisation in Convex and Metric Geometry
Yashar Memarian
Spherical localisation is a technique whose history goes back to M.Gromov and V.Milman. It's counterpart, the Euclidean localisation is extensively studied and has been put to grea…
math.MG2015
A Lower Bound for the Mahler Volume of Symmetric Convex Sets
Yashar Memarian
The goal of this paper is to present a lower bound for the Mahler volume of at least 4-dimensional symmetric convex bodies. We define a computable dimension dependent constant thro…