{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,11]],"date-time":"2026-06-11T01:04:41Z","timestamp":1781139881795,"version":"3.54.1"},"reference-count":52,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"3","license":[{"start":{"date-parts":[[2019,3,1]],"date-time":"2019-03-01T00:00:00Z","timestamp":1551398400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2019,3,1]],"date-time":"2019-03-01T00:00:00Z","timestamp":1551398400000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2019,3,1]],"date-time":"2019-03-01T00:00:00Z","timestamp":1551398400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2019,3,1]],"date-time":"2019-03-01T00:00:00Z","timestamp":1551398400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"name":"Walter S. Baer and Jeri Weiss CMI Postdoctoral Fellowship"},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CNS 1544721"],"award-info":[{"award-number":["CNS 1544721"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["ECCS 1809194"],"award-info":[{"award-number":["ECCS 1809194"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2019,3]]},"DOI":"10.1109\/tit.2018.2877741","type":"journal-article","created":{"date-parts":[[2018,10,24]],"date-time":"2018-10-24T03:13:58Z","timestamp":1540350838000},"page":"1387-1396","source":"Crossref","is-referenced-by-count":22,"title":["On the Entropy Power Inequality for the R\u00e9nyi Entropy of Order [0, 1]"],"prefix":"10.1109","volume":"65","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7459-0547","authenticated-orcid":false,"given":"Arnaud","family":"Marsiglietti","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1263-0961","authenticated-orcid":false,"given":"James","family":"Melbourne","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1137\/1109044"},{"key":"ref38","first-page":"25","article-title":"Inégalité de Brunn-Minkowski inverse et applicationsa la théorie locale des espaces normés","volume":"302","author":"milman","year":"1986","journal-title":"CR Acad Sci Paris"},{"key":"ref33","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1007\/978-1-4939-7005-6_14","article-title":"Forward and reverse entropy power inequalities in convex geometry","volume":"161","author":"madiman","year":"2017","journal-title":"Convexity and Concentration"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2007.899484"},{"key":"ref31","author":"madiman","year":"2017","journal-title":"private communication"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2018.8437870"},{"key":"ref37","author":"melbourne","year":"2018","journal-title":"Rearrangement and Prekopa-Leindler type inequalities"},{"key":"ref36","first-page":"1964","article-title":"A Rényi entropy power inequality for log-concave vectors and parameters in [0, 1]","author":"marsiglietti","year":"2018","journal-title":"Proc IEEE Int Symp Inf Theory (ISIT)"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.3390\/e20030185"},{"key":"ref34","author":"madiman","year":"2017","journal-title":"Rogozin's convolution inequality for locally compact groups"},{"key":"ref28","first-page":"217","article-title":"On a certain converse of Hölder’s inequality II","volume":"33","author":"leindler","year":"1972","journal-title":"Acta Mathematica Scientia"},{"key":"ref27","author":"gnedenko","year":"1968","journal-title":"Limit Distributions for Sums of Independent Random Variables"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.4064\/sm170521-5-8"},{"key":"ref2","first-page":"17","article-title":"A reverse entropy power inequality for log-concave random vectors","volume":"235","author":"ball","year":"2015","journal-title":"Studia Math"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-04-00459-X"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/18.104312"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.4171\/EMSS\/26"},{"key":"ref21","author":"fradelizi","year":"2015","journal-title":"Concentration of information content for convex measures"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-40519-3_3"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/j.crma.2015.12.005"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-02-00941-2"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.aam.2014.02.004"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2017.8006613"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1109\/18.259666"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1109\/18.737531"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2764487"},{"key":"ref11","author":"bobkov","year":"2018","journal-title":"Asymptotic behavior of Rényi entropy in the central limit theorem"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2616135"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/BF02384761"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.2307\/2374532"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/0001-8708(76)90184-5"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.35.1.27"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1985.1057105"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1984.1056983"},{"key":"ref18","author":"courtade","year":"2016","journal-title":"Wasserstein stability of the entropy power inequality for log-concave densities"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/18.335945"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.2307\/1970980"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.4064\/sm213-1-6"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2012.01.011"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2158475"},{"key":"ref8","first-page":"62","article-title":"Bounds for the maximum of the density of the sum of independent random variables","volume":"408","author":"bobkov","year":"2012","journal-title":"St Petersburg Math J"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1214\/14-PS238"},{"key":"ref49","first-page":"2985","article-title":"Infinity-Rényi entropy power inequalities","author":"xu","year":"2017","journal-title":"Proc IEEE Int Symp Inf Theory (ISIT)"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2383379"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.880066"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2015.2495302"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2016.7541706"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2338852"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2676093"},{"key":"ref41","first-page":"547","article-title":"On measures of entropy and information","volume":"1","author":"r\u00e9nyi","year":"1961","journal-title":"Proc 4th Berkeley Symp Math Statist Probab"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2015.03.018"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.3390\/e20090641"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"https:\/\/ieeexplore.ieee.org\/ielaam\/18\/8642547\/8502868-aam.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/8642547\/08502868.pdf?arnumber=8502868","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,13]],"date-time":"2022-07-13T20:41:28Z","timestamp":1657744888000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8502868\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,3]]},"references-count":52,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.1109\/tit.2018.2877741","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,3]]}}}