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cs.CC2020
Optimal tiling of the Euclidean space using symmetric bodies
Mark Braverman, Dor Minzer
What is the least surface area of a symmetric body whose translations tile ? Since any such body must have volume , the isoperimetric inequality…
cs.DM2020
Hypercontractivity on the symmetric group
Yuval Filmus, Guy Kindler, Noam Lifshitz +1
The hypercontractive inequality is a fundamental result in analysis, with many applications throughout discrete mathematics, theoretical computer science, combinatorics and more. S…