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arXiv · 1409.2106

Sharp dimension free quantitative estimates for the Gaussian isoperimetric inequality

Marco Barchiesi·Alessio Brancolini·Vesa Julin
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Abstract

We provide a full quantitative version of the Gaussian isoperimetric inequality. Our estimate is independent of the dimension, sharp on the decay rate with respect to the asymmetry and with optimal dependence on the mass.

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Marco Barchiesi, Alessio Brancolini, Vesa Julin. 2016-10-20. Sharp dimension free quantitative estimates for the Gaussian isoperimetric inequality. https://doi.org/10.1214/15-aop1072

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