{"id":"https://openalex.org/W3214092354","doi":"https://doi.org/10.1145/3519935.3520040","title":"Hypercontractivity on high dimensional expanders","display_name":"Hypercontractivity on high dimensional expanders","publication_year":2022,"publication_date":"2022-06-09","ids":{"openalex":"https://openalex.org/W3214092354","doi":"https://doi.org/10.1145/3519935.3520040","mag":"3214092354"},"language":"en","primary_location":{"id":"doi:10.1145/3519935.3520040","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3519935.3520040","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3519935.3520040","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3519935.3520040","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039083557","display_name":"Mitali Bafna","orcid":"https://orcid.org/0000-0002-3003-2017"},"institutions":[{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mitali Bafna","raw_affiliation_strings":["Harvard University, USA"],"affiliations":[{"raw_affiliation_string":"Harvard University, USA","institution_ids":["https://openalex.org/I2801851002"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058877254","display_name":"Max Hopkins","orcid":null},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Max Hopkins","raw_affiliation_strings":["University of California at San Diego, USA"],"affiliations":[{"raw_affiliation_string":"University of California at San Diego, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109110331","display_name":"Tali Kaufman","orcid":null},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Tali Kaufman","raw_affiliation_strings":["Bar-Ilan University, Israel"],"affiliations":[{"raw_affiliation_string":"Bar-Ilan University, Israel","institution_ids":["https://openalex.org/I13955877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044999305","display_name":"Shachar Lovett","orcid":"https://orcid.org/0000-0003-4552-1443"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shachar Lovett","raw_affiliation_strings":["University of California at San Diego, USA"],"affiliations":[{"raw_affiliation_string":"University of California at San Diego, USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5039083557"],"corresponding_institution_ids":["https://openalex.org/I2801851002"],"apc_list":null,"apc_paid":null,"fwci":2.8663,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.91612716,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"185","last_page":"194"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.7677942514419556},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.6436291933059692},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5191797018051147},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4601929485797882},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.436943918466568},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3509727716445923},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3275657892227173}],"concepts":[{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.7677942514419556},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.6436291933059692},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5191797018051147},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4601929485797882},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.436943918466568},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3509727716445923},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3275657892227173}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3519935.3520040","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3519935.3520040","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3519935.3520040","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3519935.3520040","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3519935.3520040","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3519935.3520040","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17"}],"awards":[{"id":"https://openalex.org/G1347492840","display_name":null,"funder_award_id":"1650112","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3367775623","display_name":null,"funder_award_id":"DGE-1650112","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6450753535","display_name":"The Sunflower Conjecture, Disjunctive Normal Forms, and Beyond","funder_award_id":"1953928","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/W3214092354.pdf","grobid_xml":"https://content.openalex.org/works/W3214092354.grobid-xml"},"referenced_works_count":67,"referenced_works":["https://openalex.org/W1529556207","https://openalex.org/W1559492868","https://openalex.org/W1891181203","https://openalex.org/W1948567022","https://openalex.org/W1978526953","https://openalex.org/W1986296546","https://openalex.org/W2073310493","https://openalex.org/W2077810240","https://openalex.org/W2080479164","https://openalex.org/W2094654291","https://openalex.org/W2103749128","https://openalex.org/W2133263321","https://openalex.org/W2162746978","https://openalex.org/W2327680971","https://openalex.org/W2334237942","https://openalex.org/W2520836573","https://openalex.org/W2625656873","https://openalex.org/W2769516254","https://openalex.org/W2787022562","https://openalex.org/W2798524658","https://openalex.org/W2805609980","https://openalex.org/W2809286765","https://openalex.org/W2809340088","https://openalex.org/W2889877476","https://openalex.org/W2949080915","https://openalex.org/W2950932629","https://openalex.org/W2962691953","https://openalex.org/W2963226739","https://openalex.org/W2963410169","https://openalex.org/W2963722886","https://openalex.org/W2971546537","https://openalex.org/W2971750264","https://openalex.org/W2972099370","https://openalex.org/W2996822558","https://openalex.org/W2998157673","https://openalex.org/W3000152275","https://openalex.org/W3009865281","https://openalex.org/W3016941576","https://openalex.org/W3023801841","https://openalex.org/W3035156632","https://openalex.org/W3042338675","https://openalex.org/W3082892514","https://openalex.org/W3086724848","https://openalex.org/W3103427415","https://openalex.org/W3114175352","https://openalex.org/W3116442988","https://openalex.org/W3126181091","https://openalex.org/W3126279954","https://openalex.org/W3127673302","https://openalex.org/W3128760565","https://openalex.org/W3129091168","https://openalex.org/W3134214471","https://openalex.org/W3136386109","https://openalex.org/W3138453645","https://openalex.org/W3168358336","https://openalex.org/W3170539426","https://openalex.org/W3171131516","https://openalex.org/W3184476290","https://openalex.org/W3212014075","https://openalex.org/W3212348617","https://openalex.org/W3213933684","https://openalex.org/W3216957975","https://openalex.org/W4287178654","https://openalex.org/W4298844065","https://openalex.org/W4313001431","https://openalex.org/W6670470460","https://openalex.org/W6752400976"],"related_works":["https://openalex.org/W2212615093","https://openalex.org/W2999312112","https://openalex.org/W2346253477","https://openalex.org/W1909384579","https://openalex.org/W2057810289","https://openalex.org/W2142114659","https://openalex.org/W258677105","https://openalex.org/W2474705870","https://openalex.org/W2056017973","https://openalex.org/W1976234213"],"abstract_inverted_index":{"Hypercontractivity":[0],"is":[1],"one":[2],"of":[3,37,43,49,67,77,101,104,113,121],"the":[4,15,29,47,102,114],"most":[5],"powerful":[6],"tools":[7],"in":[8,24,87],"Boolean":[9,105],"function":[10],"analysis.":[11],"Originally":[12],"studied":[13],"over":[14],"discrete":[16],"hypercube,":[17],"recent":[18],"years":[19],"have":[20,39],"seen":[21,83],"increasing":[22],"interest":[23],"extensions":[25],"to":[26,97],"settings":[27],"like":[28],"p-biased":[30],"cube,":[31],"slice,":[32],"or":[33],"Grassmannian,":[34],"where":[35],"variants":[36],"hypercontractivity":[38,68],"found":[40],"a":[41,64,98,110,118],"number":[42],"breakthrough":[44],"applications":[45,86],"including":[46,109],"resolution":[48],"Khot\u2019s":[50],"2-2":[51],"Games":[52],"Conjecture":[53],"(Khot,":[54],"Minzer,":[55],"Safra":[56],"FOCS":[57],"2018).":[58],"In":[59],"this":[60],"work,":[61],"we":[62],"develop":[63],"new":[65,99,119],"theory":[66,90],"on":[69,107],"high":[70],"dimensional":[71],"expanders":[72],"(HDX),":[73],"an":[74],"important":[75],"class":[76],"expanding":[78],"complexes":[79],"that":[80],"has":[81],"recently":[82],"similarly":[84],"impressive":[85],"both":[88],"coding":[89],"and":[91,117],"approximate":[92],"sampling.":[93],"Our":[94],"results":[95],"lead":[96],"understanding":[100],"structure":[103],"functions":[106],"HDX,":[108],"tight":[111],"analog":[112],"KKL":[115],"Theorem":[116],"characterization":[120],"non-expanding":[122],"sets.":[123]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":12},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}