{"id":"https://openalex.org/W4282003860","doi":"https://doi.org/10.1145/3519935.3520048","title":"Entropic independence: optimal mixing of down-up random walks","display_name":"Entropic independence: optimal mixing of down-up random walks","publication_year":2022,"publication_date":"2022-06-09","ids":{"openalex":"https://openalex.org/W4282003860","doi":"https://doi.org/10.1145/3519935.3520048"},"language":"en","primary_location":{"id":"doi:10.1145/3519935.3520048","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3519935.3520048","pdf_url":null,"source":null,"license":null,"license_id":null,"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":"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/A5040375566","display_name":"Nima Anari","orcid":"https://orcid.org/0000-0002-4394-3530"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Nima Anari","raw_affiliation_strings":["Stanford University, USA"],"affiliations":[{"raw_affiliation_string":"Stanford University, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017261510","display_name":"Vishesh Jain","orcid":"https://orcid.org/0000-0002-7275-3218"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vishesh Jain","raw_affiliation_strings":["Stanford University, USA"],"affiliations":[{"raw_affiliation_string":"Stanford University, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003106042","display_name":"Frederic Koehler","orcid":"https://orcid.org/0000-0001-5220-9680"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Frederic Koehler","raw_affiliation_strings":["Stanford University, USA"],"affiliations":[{"raw_affiliation_string":"Stanford University, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060274649","display_name":"Huy Tuan Pham","orcid":"https://orcid.org/0000-0003-4659-4345"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Huy Tuan Pham","raw_affiliation_strings":["Stanford University, USA"],"affiliations":[{"raw_affiliation_string":"Stanford University, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065933371","display_name":"Thuy-Duong Vuong","orcid":"https://orcid.org/0000-0003-0271-9687"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thuy-Duong Vuong","raw_affiliation_strings":["Stanford University, USA"],"affiliations":[{"raw_affiliation_string":"Stanford University, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5040375566"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":4.4431,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.9570169,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"1418","last_page":"1430"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9995999932289124,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9995999932289124,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9890999794006348,"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"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9886999726295471,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.7106092572212219},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.6554312109947205},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.623906672000885},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6126793026924133},{"id":"https://openalex.org/keywords/mixing","display_name":"Mixing (physics)","score":0.5870119333267212},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5783144235610962},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.4720526337623596},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.46804141998291016},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.46571874618530273},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4106863737106323},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34630680084228516},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19292870163917542},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19132575392723083},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15154820680618286},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.14737820625305176}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.7106092572212219},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.6554312109947205},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.623906672000885},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6126793026924133},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.5870119333267212},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5783144235610962},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.4720526337623596},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.46804141998291016},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.46571874618530273},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4106863737106323},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34630680084228516},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19292870163917542},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19132575392723083},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15154820680618286},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14737820625305176}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3519935.3520048","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3519935.3520048","pdf_url":null,"source":null,"license":null,"license_id":null,"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":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W121410702","https://openalex.org/W1776308369","https://openalex.org/W1968246340","https://openalex.org/W1981326159","https://openalex.org/W1988928480","https://openalex.org/W1996199671","https://openalex.org/W1999150260","https://openalex.org/W2004724832","https://openalex.org/W2006017609","https://openalex.org/W2015604011","https://openalex.org/W2039494655","https://openalex.org/W2043509032","https://openalex.org/W2045535845","https://openalex.org/W2048759201","https://openalex.org/W2067348645","https://openalex.org/W2068524660","https://openalex.org/W2084392902","https://openalex.org/W2086442905","https://openalex.org/W2090216341","https://openalex.org/W2257317309","https://openalex.org/W2415938485","https://openalex.org/W2484810380","https://openalex.org/W2769516254","https://openalex.org/W2774564255","https://openalex.org/W2885549115","https://openalex.org/W2950474741","https://openalex.org/W2963722886","https://openalex.org/W2963795759","https://openalex.org/W3035156632","https://openalex.org/W3036257878","https://openalex.org/W3042338675","https://openalex.org/W3081001064","https://openalex.org/W3101482641","https://openalex.org/W3104444347","https://openalex.org/W3114175352","https://openalex.org/W3122502295","https://openalex.org/W3126279954","https://openalex.org/W3165988880","https://openalex.org/W3167575375","https://openalex.org/W4287122928","https://openalex.org/W4313001431","https://openalex.org/W6649393985","https://openalex.org/W6805159970"],"related_works":["https://openalex.org/W1597743604","https://openalex.org/W2038723108","https://openalex.org/W2033630974","https://openalex.org/W4245069437","https://openalex.org/W2325737604","https://openalex.org/W2379651310","https://openalex.org/W2113019827","https://openalex.org/W1541249122","https://openalex.org/W2413828414","https://openalex.org/W2367222340"],"abstract_inverted_index":{"We":[0,85],"introduce":[1],"a":[2,22,30,48],"notion":[3,75],"called":[4],"entropic":[5,10,19,87],"independence":[6,20,69,88],"that":[7,36],"is":[8,70],"an":[9],"analog":[11,72],"of":[12,15,21,29,33,47,51,62,66,73,76,99,102],"spectral":[13,77,100],"notions":[14],"high-dimensional":[16],"expansion.":[17],"Informally,":[18],"background":[23],"distribution":[24],"\u00b5":[25],"on":[26,105],"k-sized":[27],"subsets":[28],"ground":[31],"set":[32,42],"elements":[34],"says":[35],"for":[37],"any":[38],"(possibly":[39],"randomly":[40],"chosen)":[41],"S,":[43],"the":[44,63,71,74,96],"relative":[45,64],"entropy":[46,65],"single":[49],"element":[50],"S":[52],"drawn":[53],"uniformly":[54],"at":[55,58],"random":[56],"carries":[57],"most":[59],"O(1/k)":[60],"fraction":[61],"S.":[67],"Entropic":[68],"independence,":[78],"if":[79],"one":[80],"replaces":[81],"variance":[82],"by":[83],"entropy.":[84],"use":[86],"to":[89],"derive":[90],"tight":[91],"mixing":[92],"time":[93],"bounds,":[94],"overcoming":[95],"lossy":[97],"nature":[98],"analysis":[101],"Markov":[103],"chains":[104],"exponential-sized":[106],"state":[107],"spaces.":[108]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}
