{"id":"https://openalex.org/W7163996998","doi":"https://doi.org/10.1145/3798129.3800834","title":"Mixing of General Biased Adjacent Transposition Chains","display_name":"Mixing of General Biased Adjacent Transposition Chains","publication_year":2026,"publication_date":"2026-06-09","ids":{"openalex":"https://openalex.org/W7163996998","doi":"https://doi.org/10.1145/3798129.3800834"},"language":null,"primary_location":{"id":"doi:10.1145/3798129.3800834","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3798129.3800834","pdf_url":null,"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 58th Annual ACM Symposium on Theory of Computing","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1145/3798129.3800834","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085479654","display_name":"Reza Gheissari","orcid":"https://orcid.org/0000-0003-4236-9407"},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Reza Gheissari","raw_affiliation_strings":["Northwestern University, Chicago, USA"],"raw_orcid":"https://orcid.org/0000-0003-4236-9407","affiliations":[{"raw_affiliation_string":"Northwestern University, Chicago, USA","institution_ids":["https://openalex.org/I111979921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008139378","display_name":"Holden Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Holden Lee","raw_affiliation_strings":["Johns Hopkins University, Baltimore, USA"],"raw_orcid":"https://orcid.org/0000-0003-3534-8739","affiliations":[{"raw_affiliation_string":"Johns Hopkins University, Baltimore, USA","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051363868","display_name":"Eric Vigoda","orcid":null},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eric Vigoda","raw_affiliation_strings":["University of California, Santa Barbara, Santa Barbara, USA"],"raw_orcid":"https://orcid.org/0009-0001-4741-8303","affiliations":[{"raw_affiliation_string":"University of California, Santa Barbara, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.675,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1236","last_page":"1241"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.094200000166893,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10849","display_name":"Finite Group Theory Research","score":0.094200000166893,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.0551999993622303,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.05460000038146973,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/mixing","display_name":"Mixing (physics)","score":0.6621000170707703},{"id":"https://openalex.org/keywords/transposition","display_name":"Transposition (logic)","score":0.47609999775886536},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.30000001192092896},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.28679999709129333},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.26170000433921814}],"concepts":[{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.6621000170707703},{"id":"https://openalex.org/C12455157","wikidata":"https://www.wikidata.org/wiki/Q7835331","display_name":"Transposition (logic)","level":2,"score":0.47609999775886536},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40049999952316284},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3894999921321869},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31520000100135803},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.30000001192092896},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.28679999709129333},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2754000127315521},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.26170000433921814},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.22259999811649323}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3798129.3800834","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3798129.3800834","pdf_url":null,"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 58th Annual ACM Symposium on Theory of Computing","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3798129.3800834","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3798129.3800834","pdf_url":null,"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 58th Annual ACM Symposium on Theory of Computing","raw_type":"proceedings-article"},"sustainable_development_goals":[{"score":0.45184221863746643,"id":"https://metadata.un.org/sdg/13","display_name":"Climate action"}],"awards":[{"id":"https://openalex.org/G2960260557","display_name":"Dynamics of Lattice and Mean-Field Spin Systems","funder_award_id":"2246780","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4407217800","display_name":"AF: Small: New Techniques for Optimal Bounds on MCMC Algorithms","funder_award_id":"2147094","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7633900219","display_name":"CAREER: Analysis of Slowly Mixing Markov Chains","funder_award_id":"2440509","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W41049822","https://openalex.org/W1661853172","https://openalex.org/W1856287640","https://openalex.org/W2043805242","https://openalex.org/W2048726309","https://openalex.org/W2065163799","https://openalex.org/W2065354456","https://openalex.org/W2157044580","https://openalex.org/W2161611531","https://openalex.org/W2168256531","https://openalex.org/W2279676320","https://openalex.org/W2962825877","https://openalex.org/W2963954475","https://openalex.org/W4213265037","https://openalex.org/W4225256716","https://openalex.org/W4247306430","https://openalex.org/W4413470930"],"related_works":[],"abstract_inverted_index":{"We":[0,98],"analyze":[1],"the":[2,16,49,93,113,132,160,166],"general":[3,79,133],"biased":[4,134],"adjacent":[5,24],"transposition":[6,135],"shuffle":[7],"process,":[8],"which":[9],"is":[10,36,72,96,116,125],"a":[11,89,126,138,148],"well-studied":[12],"Markov":[13,45],"chain":[14,46,136],"on":[15],"symmetric":[17,167],"group":[18],"Sn.":[19],"In":[20,142],"each":[21],"step,":[22],"an":[23],"pair":[25],"of":[26,39,51,128,162],"elements":[27],"i":[28,35],"and":[29,33,58,68,88,118],"j":[30,40],"are":[31],"chosen,":[32],"then":[34],"placed":[37],"ahead":[38],"with":[41],"probability":[42,69],"pij.":[43],"This":[44],"arises":[47],"in":[48,54],"study":[50],"self-organizing":[52],"lists":[53],"theoretical":[55],"computer":[56],"science,":[57],"has":[59],"close":[60],"connections":[61],"to":[62,144,165],"exclusion":[63],"processes":[64],"from":[65,159],"statistical":[66],"physics":[67],"theory.":[70],"It":[71],"conjectured":[73],"(see":[74],"Fill":[75],"(2003))":[76],"that":[77,100],"for":[78,85,101,110,131,147,156],"pij":[80,82,108],"satisfying":[81],"\u2265":[83],"1/2":[84],"all":[86,111],"i<j":[87],"simple":[90],"monotonicity":[91],"condition,":[92],"mixing":[94,114,130,149,157],"time":[95,115,150],"polynomial.":[97],"prove":[99],"any":[102],"fixed":[103],"\u03b5>0,":[104],"as":[105,107],"long":[106],">1/2+\u03b5":[109],"i<j,":[112],"\u0398(n2)":[117],"exhibits":[119],"pre-cutoff.":[120],"Our":[121],"key":[122],"technical":[123],"result":[124],"form":[127],"spatial":[129],"after":[137],"suitable":[139],"burn-in":[140],"period.":[141],"order":[143],"use":[145],"this":[146],"bound,":[151],"we":[152],"adapt":[153],"multiscale":[154],"arguments":[155],"times":[158],"setting":[161],"spin":[163],"systems":[164],"group.":[168]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2026-06-10T00:00:00"}
