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arXiv · 1803.05190

Higher order concentration in presence of Poincar\'e-type inequalities

Friedrich Götze·Holger Sambale
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Abstract

We show sharpened forms of the concentration of measure phenomenon typically centered at stochastic expansions of order $d-1$ for any $d \in \mathbb{N}$. Here we focus on differentiable functions on the Euclidean space in presence of a Poincar\'e-type inequality. The bounds are based on $d$-th order derivatives.

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Friedrich Götze, Holger Sambale. 2018-03-14. Higher order concentration in presence of Poincar\'e-type inequalities. https://arxiv.org/abs/1803.05190

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