{"id":"https://openalex.org/W2040088116","doi":"https://doi.org/10.1145/1806689.1806729","title":"Zero-one frequency laws","display_name":"Zero-one frequency laws","publication_year":2010,"publication_date":"2010-06-05","ids":{"openalex":"https://openalex.org/W2040088116","doi":"https://doi.org/10.1145/1806689.1806729","mag":"2040088116"},"language":"en","primary_location":{"id":"doi:10.1145/1806689.1806729","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1806689.1806729","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-second ACM symposium on Theory of computing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5105423323","display_name":"Vladimir Braverman","orcid":null},"institutions":[{"id":"https://openalex.org/I2799798094","display_name":"UCLA Health","ror":"https://ror.org/01d88se56","country_code":"US","type":"funder","lineage":["https://openalex.org/I2799798094"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Vladimir Braverman","raw_affiliation_strings":["UCLA, Los Angeles, USA","UCLA, Los angeles, USA,"],"affiliations":[{"raw_affiliation_string":"UCLA, Los Angeles, USA","institution_ids":["https://openalex.org/I2799798094"]},{"raw_affiliation_string":"UCLA, Los angeles, USA,","institution_ids":["https://openalex.org/I2799798094"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020375635","display_name":"Rafail Ostrovsky","orcid":"https://orcid.org/0000-0002-1501-1330"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rafail Ostrovsky","raw_affiliation_strings":["UCLA, Los Angelese, USA"],"affiliations":[{"raw_affiliation_string":"UCLA, Los Angelese, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5105423323"],"corresponding_institution_ids":["https://openalex.org/I2799798094"],"apc_list":null,"apc_paid":null,"fwci":5.596,"has_fulltext":false,"cited_by_count":68,"citation_normalized_percentile":{"value":0.9562898,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"281","last_page":"290"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9977999925613403,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9955000281333923,"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/zero","display_name":"Zero (linguistics)","score":0.7343384027481079},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.7047522068023682},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.6983569860458374},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6859182119369507},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42932119965553284},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38915133476257324},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3587000370025635},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3511187434196472},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22141695022583008},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13104945421218872}],"concepts":[{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.7343384027481079},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.7047522068023682},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.6983569860458374},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6859182119369507},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42932119965553284},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38915133476257324},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3587000370025635},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3511187434196472},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22141695022583008},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13104945421218872},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1806689.1806729","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1806689.1806729","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-second ACM symposium on Theory of computing","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.170.9191","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.170.9191","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.ucla.edu/%7Erafail/PUBLIC/107.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7699999809265137,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W41415572","https://openalex.org/W1493892051","https://openalex.org/W1603123426","https://openalex.org/W1608038806","https://openalex.org/W1628908379","https://openalex.org/W1785933978","https://openalex.org/W1795239726","https://openalex.org/W1965972569","https://openalex.org/W1980389212","https://openalex.org/W1982991092","https://openalex.org/W1993355353","https://openalex.org/W1995484833","https://openalex.org/W1998272044","https://openalex.org/W2018989507","https://openalex.org/W2019766199","https://openalex.org/W2021016639","https://openalex.org/W2025051251","https://openalex.org/W2040088116","https://openalex.org/W2045533739","https://openalex.org/W2050290319","https://openalex.org/W2067467757","https://openalex.org/W2069414131","https://openalex.org/W2075567379","https://openalex.org/W2078764670","https://openalex.org/W2080234606","https://openalex.org/W2080745194","https://openalex.org/W2103126020","https://openalex.org/W2107917944","https://openalex.org/W2109182224","https://openalex.org/W2109309855","https://openalex.org/W2109885200","https://openalex.org/W2114203129","https://openalex.org/W2116117986","https://openalex.org/W2126105096","https://openalex.org/W2128846062","https://openalex.org/W2129978406","https://openalex.org/W2132822431","https://openalex.org/W2152489475","https://openalex.org/W2156943642","https://openalex.org/W2160681854","https://openalex.org/W2340787257","https://openalex.org/W2621193479","https://openalex.org/W2914324265"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W3107994849","https://openalex.org/W2077314575","https://openalex.org/W4315701745","https://openalex.org/W1990290471","https://openalex.org/W4380682190","https://openalex.org/W2005710836","https://openalex.org/W2102386043","https://openalex.org/W2945307361","https://openalex.org/W4297814559"],"abstract_inverted_index":{"Data":[0],"streams":[1],"emerged":[2],"as":[3],"a":[4,80,95,118,123],"critical":[5],"model":[6],"for":[7,57,126],"multiple":[8],"applications":[9],"that":[10,133],"handle":[11],"vast":[12],"amounts":[13],"of":[14,17,98],"data.":[15],"One":[16],"the":[18,27,54,112,137],"most":[19],"influential":[20],"and":[21,37,86,116],"celebrated":[22],"papers":[23],"in":[24,49,103],"streaming":[25,104],"is":[26,51],"\"AMS\"":[28],"paper":[29,108],"on":[30,61,100,131],"computing":[31],"frequency":[32,62],"moments":[33],"by":[34,47,79],"Alon,":[35],"Matias":[36],"Szegedy.":[38],"The":[39],"main":[40,114],"question":[41,115],"left":[42],"open":[43],"(and":[44],"explicitly":[45],"asked)":[46],"AMS":[48,113],"1996":[50],"to":[52],"give":[53,117],"precise":[55,119],"characterization":[56,91,120],"which":[58],"functions":[59,102,130],"G":[60],"vectors":[63],"mi":[64],"(1\u2264":[65],"i":[66],"\u2264":[67],"n)":[68],"can":[69],"\u03a3i\u2208":[70],"[n]":[71],"G(mi)":[72],"be":[73],"approximated":[74],"efficiently,":[75],"where":[76],"\"efficiently\"":[77],"means":[78],"single":[81],"pass":[82],"over":[83],"data":[84],"stream":[85],"poly-logarithmic":[87],"memory.":[88],"No":[89],"such":[90],"was":[92],"known":[93],"despite":[94],"tremendous":[96],"amount":[97],"research":[99],"frequency-based":[101],"literature.":[105],"In":[106],"this":[107],"we":[109],"finally":[110],"resolve":[111],"(in":[121],"fact,":[122],"zero-one":[124],"law)":[125],"all":[127],"monotonically":[128],"increasing":[129],"frequencies":[132],"are":[134],"zero":[135],"at":[136],"origin.":[138]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-12T07:58:50.170612","created_date":"2025-10-10T00:00:00"}