{"id":"https://openalex.org/W2964136202","doi":"https://doi.org/10.3150/16-bej875","title":"A note on the convex infimum convolution inequality","display_name":"A note on the convex infimum convolution inequality","publication_year":2017,"publication_date":"2017-07-27","ids":{"openalex":"https://openalex.org/W2964136202","doi":"https://doi.org/10.3150/16-bej875","mag":"2964136202"},"language":"en","primary_location":{"id":"doi:10.3150/16-bej875","doi":"https://doi.org/10.3150/16-bej875","is_oa":true,"landing_page_url":"https://doi.org/10.3150/16-bej875","pdf_url":"https://projecteuclid.org/journals/bernoulli/volume-24/issue-1/A-note-on-the-convex-infimum-convolution-inequality/10.3150/16-BEJ875.pdf","source":{"id":"https://openalex.org/S172538041","display_name":"Bernoulli","issn_l":"1350-7265","issn":["1350-7265","1573-9759"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","doyens","jufo-2","norway-2","poland-140","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310321043","host_organization_name":"Chapman and Hall London","host_organization_lineage":["https://openalex.org/P4310321043","https://openalex.org/P4310320584"],"host_organization_lineage_names":["Chapman and Hall London","CRC Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bernoulli","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/bernoulli/volume-24/issue-1/A-note-on-the-convex-infimum-convolution-inequality/10.3150/16-BEJ875.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013332295","display_name":"Naomi Dvora Feldheim","orcid":"https://orcid.org/0000-0003-2937-5247","observed_orcids":["https://orcid.org/0000-0003-2937-5247"]},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Naomi Feldheim","raw_affiliation_strings":["Institute for Mathematics and its Applications, University of Minnesota, 207 Church Street SE, 306 Lind Hall, Minneapolis, MN 55455, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematics and its Applications, University of Minnesota, 207 Church Street SE, 306 Lind Hall, Minneapolis, MN 55455, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062208766","display_name":"Arnaud Marsiglietti","orcid":"https://orcid.org/0000-0002-7459-0547","observed_orcids":["https://orcid.org/0000-0002-7459-0547"]},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arnaud Marsiglietti","raw_affiliation_strings":["Institute for Mathematics and its Applications, University of Minnesota, 207 Church Street SE, 306 Lind Hall, Minneapolis, MN 55455, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematics and its Applications, University of Minnesota, 207 Church Street SE, 306 Lind Hall, Minneapolis, MN 55455, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016569839","display_name":"Piotr Nayar","orcid":"https://orcid.org/0000-0003-2410-8027","observed_orcids":["https://orcid.org/0000-0003-2410-8027"]},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Piotr Nayar","raw_affiliation_strings":["Institute for Mathematics and its Applications, University of Minnesota, 207 Church Street SE, 306 Lind Hall, Minneapolis, MN 55455, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematics and its Applications, University of Minnesota, 207 Church Street SE, 306 Lind Hall, Minneapolis, MN 55455, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101913225","display_name":"Jing Wang","orcid":"https://orcid.org/0000-0002-9677-0899","observed_orcids":["https://orcid.org/0000-0002-9677-0899"]},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jing Wang","raw_affiliation_strings":["Institute for Mathematics and its Applications, University of Minnesota, 207 Church Street SE, 306 Lind Hall, Minneapolis, MN 55455, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematics and its Applications, University of Minnesota, 207 Church Street SE, 306 Lind Hall, Minneapolis, MN 55455, USA","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I130238516"],"apc_list":null,"apc_paid":null,"fwci":1.1771,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.84294891,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"24","issue":"1","first_page":"257","last_page":"270"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.5863999724388123,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.5863999724388123,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.17970000207424164,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.07090000063180923,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/symmetric-random-variables","display_name":"symmetric random variables","score":0.9580000042915344},{"id":"https://openalex.org/keywords/concentration-of-measure","display_name":"concentration of measure","score":0.7419999837875366},{"id":"https://openalex.org/keywords/exponential-tails","display_name":"exponential tails","score":0.5830000042915344},{"id":"https://openalex.org/keywords/independent-random-vectors","display_name":"independent random vectors","score":0.7639999985694885}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9188833236694336},{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.8718345165252686},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.6819212436676025},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5477209091186523},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5068328976631165},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.46966636180877686},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.45253899693489075},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4299657344818115},{"id":"https://openalex.org/C138405894","wikidata":"https://www.wikidata.org/wiki/Q3179949","display_name":"Multivariate random variable","level":3,"score":0.41201210021972656},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3995274603366852},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3960200548171997},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36717700958251953},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1614702343940735},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0877959132194519},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3150/16-bej875","doi":"https://doi.org/10.3150/16-bej875","is_oa":true,"landing_page_url":"https://doi.org/10.3150/16-bej875","pdf_url":"https://projecteuclid.org/journals/bernoulli/volume-24/issue-1/A-note-on-the-convex-infimum-convolution-inequality/10.3150/16-BEJ875.pdf","source":{"id":"https://openalex.org/S172538041","display_name":"Bernoulli","issn_l":"1350-7265","issn":["1350-7265","1573-9759"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","doyens","jufo-2","norway-2","poland-140","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310321043","host_organization_name":"Chapman and Hall London","host_organization_lineage":["https://openalex.org/P4310321043","https://openalex.org/P4310320584"],"host_organization_lineage_names":["Chapman and Hall London","CRC Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bernoulli","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1505.00240","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.00240","pdf_url":"https://arxiv.org/pdf/1505.00240","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CULeuclid:euclid.bj/1501142442","doi":null,"is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.bj/1501142442","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"doi:10.48550/arxiv.1505.00240","doi":"https://doi.org/10.48550/arxiv.1505.00240","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1505.00240","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.3150/16-bej875","doi":"https://doi.org/10.3150/16-bej875","is_oa":true,"landing_page_url":"https://doi.org/10.3150/16-bej875","pdf_url":"https://projecteuclid.org/journals/bernoulli/volume-24/issue-1/A-note-on-the-convex-infimum-convolution-inequality/10.3150/16-BEJ875.pdf","source":{"id":"https://openalex.org/S172538041","display_name":"Bernoulli","issn_l":"1350-7265","issn":["1350-7265","1573-9759"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","doyens","jufo-2","norway-2","poland-140","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310321043","host_organization_name":"Chapman and Hall London","host_organization_lineage":["https://openalex.org/P4310321043","https://openalex.org/P4310320584"],"host_organization_lineage_names":["Chapman and Hall London","CRC Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bernoulli","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3920377332","display_name":null,"funder_award_id":"DEC-2012/05/B/ST1/00412","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2964136202.pdf","grobid_xml":"https://content.openalex.org/works/W2964136202.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W181672657","https://openalex.org/W423603040","https://openalex.org/W1573820523","https://openalex.org/W1607177401","https://openalex.org/W1654586045","https://openalex.org/W1957934400","https://openalex.org/W1970185960","https://openalex.org/W1973180309","https://openalex.org/W1978978965","https://openalex.org/W2002856148","https://openalex.org/W2005146416","https://openalex.org/W2008822727","https://openalex.org/W2045535845","https://openalex.org/W2049330328","https://openalex.org/W2060960121","https://openalex.org/W2067708435","https://openalex.org/W2071612771","https://openalex.org/W2077810240","https://openalex.org/W2096324813","https://openalex.org/W2108906300","https://openalex.org/W2216777921","https://openalex.org/W2315893912","https://openalex.org/W2327680971","https://openalex.org/W2328734373","https://openalex.org/W2461790370","https://openalex.org/W3105776697","https://openalex.org/W4285719527","https://openalex.org/W4301425558"],"related_works":["https://openalex.org/W2606992600","https://openalex.org/W2499571192","https://openalex.org/W3105776697","https://openalex.org/W2784497852","https://openalex.org/W1650015519","https://openalex.org/W7099203322","https://openalex.org/W1979732034","https://openalex.org/W7099104986","https://openalex.org/W2098637339","https://openalex.org/W2006953558"],"abstract_inverted_index":{"We":[0,18],"characterize":[1],"the":[2,9],"symmetric":[3],"real":[4,31],"random":[5,24,32],"variables":[6,33],"which":[7],"satisfy":[8,36],"one":[10],"dimensional":[11],"convex":[12],"infimum":[13],"convolution":[14],"inequality":[15],"of":[16],"Maurey.":[17],"deduce":[19],"Talagrand\u2019s":[20],"two-level":[21],"concentration":[22],"for":[23],"vector":[25],"$(X_{1},\\ldots,X_{n})$,":[26],"where":[27],"$X_{i}$\u2019s":[28],"are":[29],"independent":[30],"whose":[34],"tails":[35],"certain":[37],"exponential":[38],"type":[39],"decay":[40],"condition.":[41]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2019-07-30T00:00:00"}