Robustness of the Gaussian concentration inequality and the Brunn-Minkowski inequality
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Publication:2403776
DOI10.1007/s00526-017-1169-xzbMath1378.60042arXiv1608.07990OpenAlexW2593199050WikidataQ109744216 ScholiaQ109744216MaRDI QIDQ2403776
Publication date: 12 September 2017
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.07990
Inequalities; stochastic orderings (60E15) Inequalities and extremum problems involving convexity in convex geometry (52A40)
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Cites Work
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- A two-sided estimate for the Gaussian noise stability deficit
- A mass transportation approach to quantitative isoperimetric inequalities
- A refined Brunn-Minkowski inequality for convex sets
- The sharp quantitative Euclidean concentration inequality
- Robust optimality of Gaussian noise stability
- Quantitative stability for sumsets in \(\mathbb R^n\)
- Robust dimension free isoperimetry in Gaussian space
- Quantitative stability for the Brunn-Minkowski inequality
- Sharp dimension free quantitative estimates for the Gaussian isoperimetric inequality
- Sets of Finite Perimeter and Geometric Variational Problems
- On the isoperimetric deficit in Gauss space
- The Brunn-Minkowski inequality
- Dimensionality and the stability of the Brunn-Minkowski inequality
- Stability for the Brunn-Minkowski and Riesz Rearrangement Inequalities, with Applications to Gaussian Concentration and Finite Range Non-local Isoperimetry
- On the cases of equality in Bobkov's inequality and Gaussian rearrangement