{"id":"https://openalex.org/W3106800436","doi":"https://doi.org/10.1145/3406325.3451049","title":"Expander random walks: a Fourier-analytic approach","display_name":"Expander random walks: a Fourier-analytic approach","publication_year":2021,"publication_date":"2021-06-15","ids":{"openalex":"https://openalex.org/W3106800436","doi":"https://doi.org/10.1145/3406325.3451049","mag":"3106800436"},"language":"en","primary_location":{"id":"doi:10.1145/3406325.3451049","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3406325.3451049","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 53rd Annual ACM SIGACT 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/A5018113933","display_name":"Gil Cohen","orcid":"https://orcid.org/0000-0002-1173-0338"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Gil Cohen","raw_affiliation_strings":["Tel Aviv University, Israel","Tel-Aviv Univ., Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Tel Aviv University, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel-Aviv Univ., Israel#TAB#","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005386442","display_name":"Noam Peri","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Noam Peri","raw_affiliation_strings":["Tel Aviv University, Israel","Tel-Aviv Univ., Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Tel Aviv University, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel-Aviv Univ., Israel#TAB#","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051671028","display_name":"Amnon Ta\u2010Shma","orcid":"https://orcid.org/0000-0001-8186-3622"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Amnon Ta-Shma","raw_affiliation_strings":["Tel Aviv University, Israel","Tel-Aviv Univ., Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Tel Aviv University, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel-Aviv Univ., Israel#TAB#","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5018113933"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":null,"apc_paid":null,"fwci":0.2719,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.59949319,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":"27","issue":null,"first_page":"1643","last_page":"1655"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9988999962806702,"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/T11106","display_name":"Data Management and Algorithms","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.8558508157730103},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6700778007507324},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5224246382713318},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4962976574897766},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.45111846923828125},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.41970324516296387},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41587361693382263},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41546523571014404},{"id":"https://openalex.org/keywords/expander-graph","display_name":"Expander graph","score":0.41297075152397156},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.34195947647094727},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.30108463764190674},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16587728261947632},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16100656986236572},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12521687150001526}],"concepts":[{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.8558508157730103},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6700778007507324},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5224246382713318},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4962976574897766},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45111846923828125},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.41970324516296387},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41587361693382263},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41546523571014404},{"id":"https://openalex.org/C154547637","wikidata":"https://www.wikidata.org/wiki/Q776602","display_name":"Expander graph","level":3,"score":0.41297075152397156},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.34195947647094727},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.30108463764190674},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16587728261947632},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16100656986236572},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12521687150001526},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3406325.3451049","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3406325.3451049","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},{"id":"mag:3106800436","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/journals/eccc/eccc27.html#CohenPT20","pdf_url":null,"source":{"id":"https://openalex.org/S4306509107","display_name":"Electron. Colloquium Comput. Complex.","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Electron. Colloquium Comput. Complex.","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1631603072","https://openalex.org/W1880538223","https://openalex.org/W1987805535","https://openalex.org/W1998400388","https://openalex.org/W2005644627","https://openalex.org/W2011438986","https://openalex.org/W2012496360","https://openalex.org/W2015393836","https://openalex.org/W2018047324","https://openalex.org/W2018566183","https://openalex.org/W2032230430","https://openalex.org/W2036447017","https://openalex.org/W2036878392","https://openalex.org/W2038691311","https://openalex.org/W2042194938","https://openalex.org/W2042587503","https://openalex.org/W2047342855","https://openalex.org/W2048958388","https://openalex.org/W2058640826","https://openalex.org/W2095087473","https://openalex.org/W2130270608","https://openalex.org/W2134490689","https://openalex.org/W2139964991","https://openalex.org/W2152993492","https://openalex.org/W2164227042","https://openalex.org/W2166162093","https://openalex.org/W2293231900","https://openalex.org/W2295588582","https://openalex.org/W2617207196","https://openalex.org/W2625993870","https://openalex.org/W2809421804","https://openalex.org/W2904639156","https://openalex.org/W2962884475","https://openalex.org/W2982703414","https://openalex.org/W3007807100","https://openalex.org/W3022367360","https://openalex.org/W3035192619","https://openalex.org/W3102754027","https://openalex.org/W4233079698","https://openalex.org/W4235946010"],"related_works":["https://openalex.org/W3167861893","https://openalex.org/W2740323009","https://openalex.org/W1489835672","https://openalex.org/W2064423787","https://openalex.org/W2138129169","https://openalex.org/W2084660617","https://openalex.org/W2136616826","https://openalex.org/W2558092916","https://openalex.org/W3014302204","https://openalex.org/W3185873505","https://openalex.org/W2784180455","https://openalex.org/W3047523486","https://openalex.org/W3103503656","https://openalex.org/W2952117396","https://openalex.org/W2954802327","https://openalex.org/W2110892992","https://openalex.org/W2094527196","https://openalex.org/W2892917696","https://openalex.org/W132654833","https://openalex.org/W3103284591"],"abstract_inverted_index":{"In":[0,88],"this":[1],"work":[2],"we":[3],"ask":[4],"the":[5,10,56,61,81,86,117],"following":[6],"basic":[7],"question:":[8],"assume":[9],"vertices":[11],"of":[12],"an":[13],"expander":[14,42,63],"graph":[15],"are":[16,97],"labelled":[17],"by":[18,37,55,99,124],"0,1.":[19],"What":[20],"\u201ctest\u201d":[21],"functions":[22,78,96],"f":[23],":":[24],"{":[25],"0,1}t":[26],"\u2192":[27],"{0,1}":[28],"cannot":[29],"distinguish":[30],"t":[31],"independent":[32],"samples":[33],"from":[34],"those":[35],"obtained":[36],"a":[38,100,125],"random":[39,101,126],"walk?":[40],"The":[41],"hitting":[43],"property":[44],"due":[45,66],"to":[46,67,85],"Ajtai,":[47],"Komlos":[48],"and":[49,104],"Szemeredi":[50],"(STOC":[51,129],"1987)":[52],"is":[53,75,83,91,122],"captured":[54],"AND":[57],"test":[58,77],"function,":[59],"whereas":[60],"fundamental":[62],"Chernoff":[64],"bound":[65],"Gillman":[68],"(SICOMP":[69],"1998),":[70],"Heally":[71],"(Computational":[72],"Complexity":[73],"2008)":[74],"about":[76],"indicating":[79],"whether":[80],"weight":[82],"close":[84],"mean.":[87],"fact,":[89],"it":[90,112],"known":[92],"that":[93,115],"all":[94],"threshold":[95],"fooled":[98,123],"walk":[102,127],"(Kipnis":[103],"Varadhan,":[105],"Communications":[106],"in":[107],"Mathematical":[108],"Physics":[109],"1986).":[110],"Recently,":[111],"was":[113],"shown":[114],"even":[116],"highly":[118],"sensitive":[119],"PARITY":[120],"function":[121],"Ta-Shma":[128],"2017).":[130]},"counts_by_year":[{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
