An Inequality for Functions on the Hamming Cube
نویسنده
چکیده
We prove an inequality for functions on the discrete cube {0, 1} extending the edgeisoperimetric 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.
منابع مشابه
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عنوان ژورنال:
- Combinatorics, Probability & Computing
دوره 26 شماره
صفحات -
تاریخ انتشار 2017