An inequality for functions on the Hamming cube

Published 5 Jul 2012 in math.CO | (1207.1233v1)

Abstract: We prove an inequality for functions on the discrete cube extending the edge-isoperimetric inequality for sets. This inequality turns out to be equivalent to the following claim about random walks on the cube: Subcubes maximize 'mean first exit time' among all subsets of the cube of the same cardinality.

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Authors (1)

Alex Samorodnitsky

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