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arxiv: 1307.8082 · v1 · pith:FXMKKOXWnew · submitted 2013-07-30 · 🧮 math.PR

A multidimensional version of noise stability

classification 🧮 math.PR
keywords borellnoisestabilityconsequenceexitgaussiangeneralizationgive
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We give a multivariate generalization of Borell's noise stability theorem for Gaussian vectors. As a consequence we recover two inequalities, also due to Borell, for exit times of the Ornstein-Uhlenbeck process.

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