%0 Journal Article %1 gotze2018higher %A Götze, Friedrich %A Sambale, Holger %D 2018 %K functional-inequalities %T Higher order concentration in presence of Poincaré-type inequalities %U http://arxiv.org/abs/1803.05190 %X We show sharpened forms of the concentration of measure phenomenon typically centered at stochastic expansions of order $d-1$ for any $d N$. Here we focus on differentiable functions on the Euclidean space in presence of a Poincaré-type inequality. The bounds are based on $d$-th order derivatives.

@article{gotze2018higher, 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.}, added-at = {2018-03-15T15:54:10.000+0100}, author = {Götze, Friedrich and Sambale, Holger}, biburl = {https://www.bibsonomy.org/bibtex/2d6133982cb2a147e688b59a0cb878ae7/claired}, description = {Higher order concentration in presence of Poincar\'e-type inequalities}, interhash = {158360e63cece4b917e19695e69e972f}, intrahash = {d6133982cb2a147e688b59a0cb878ae7}, keywords = {functional-inequalities}, note = {cite arxiv:1803.05190Comment: arXiv admin note: text overlap with arXiv:1709.06838}, timestamp = {2018-03-15T15:54:10.000+0100}, title = {Higher order concentration in presence of Poincar\'e-type inequalities}, url = {http://arxiv.org/abs/1803.05190}, year = 2018 }