Approximate Gaussian isoperimetry for k sets
نویسنده
چکیده
Given 2 ≤ k ≤ n, the minimal (n− 1)-dimensional Gaussian measure of the union of the boundaries of k disjoint sets of equal Gaussian measure in Rn whose union is Rn is of order √ log k. A similar results holds also for partitions of the sphere Sn−1 into k sets of equal Haar measure.
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