Standard Simplices and Pluralities for Unequal Measures Are Not the Most Noise Stable

نویسنده

  • STEVEN HEILMAN
چکیده

We consider a natural generalization of Borell’s isoperimetric inequality for Gaussian space for multiple sets of unequal measures. We show that this conjecture is false. The argument combines the first variation with a simple analyticity argument, the latter being a new ingredient. (joint work with Elchanan Mossel and Joe Neeman [7])

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تاریخ انتشار 2014