dc.contributor.author | Barchiesi, Marco | |
dc.contributor.author | Julin, Vesa | |
dc.date.accessioned | 2017-11-30T11:10:51Z | |
dc.date.available | 2018-05-05T21:45:05Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Barchiesi, M., & Julin, V. (2017). Robustness of the Gaussian concentration inequality and the Brunn–Minkowski inequality. <i>Calculus of Variations and Partial Differential Equations</i>, <i>56</i>(3), Article 80. <a href="https://doi.org/10.1007/s00526-017-1169-x" target="_blank">https://doi.org/10.1007/s00526-017-1169-x</a> | |
dc.identifier.other | CONVID_26991664 | |
dc.identifier.other | TUTKAID_73716 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/56064 | |
dc.description.abstract | We provide a sharp quantitative version of the Gaussian concentration
inequality: for every r > 0, the difference between the measure of the
r-enlargement of a given set and the r-enlargement of a half-space controls the
square of the measure of the symmetric difference between the set and a suitable
half-space. We also prove a similar estimate in the Euclidean setting for the
enlargement with a general convex set. This is equivalent to the stability of the
Brunn-Minkowski inequality for the Minkowski sum between a convex set and a
generic one. | |
dc.language.iso | eng | |
dc.publisher | Springer | |
dc.relation.ispartofseries | Calculus of Variations and Partial Differential Equations | |
dc.subject.other | Gaussian concentration inequality | |
dc.subject.other | Brunn–Minkowski inequality | |
dc.title | Robustness of the Gaussian concentration inequality and the Brunn–Minkowski inequality | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-201711294417 | |
dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
dc.contributor.laitos | Department of Mathematics and Statistics | en |
dc.contributor.oppiaine | Matematiikka | fi |
dc.contributor.oppiaine | Mathematics | en |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
dc.date.updated | 2017-11-29T10:15:17Z | |
dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
dc.description.reviewstatus | peerReviewed | |
dc.relation.issn | 0944-2669 | |
dc.relation.numberinseries | 3 | |
dc.relation.volume | 56 | |
dc.type.version | acceptedVersion | |
dc.rights.copyright | © Springer-Verlag Berlin Heidelberg 2017. This is a final draft version of an article whose final and definitive form has been published by Springer. Published in this repository with the kind permission of the publisher. | |
dc.rights.accesslevel | openAccess | fi |
dc.subject.yso | matematiikka | |
dc.subject.yso | kvantitatiivinen tutkimus | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p3160 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p18834 | |
dc.relation.doi | 10.1007/s00526-017-1169-x | |
dc.type.okm | A1 | |