{"id":"https://openalex.org/W1982190141","doi":"https://doi.org/10.1002/rsa.20431","title":"Comparison of Swendsen\u2010Wang and heat\u2010bath dynamics","display_name":"Comparison of Swendsen\u2010Wang and heat\u2010bath dynamics","publication_year":2012,"publication_date":"2012-05-11","ids":{"openalex":"https://openalex.org/W1982190141","doi":"https://doi.org/10.1002/rsa.20431","mag":"1982190141"},"language":"en","primary_location":{"id":"doi:10.1002/rsa.20431","doi":"https://doi.org/10.1002/rsa.20431","is_oa":false,"landing_page_url":"https://doi.org/10.1002/rsa.20431","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-2","norway-2","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures &amp; Algorithms","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1105.3665","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088907596","display_name":"Mario Ullrich","orcid":"https://orcid.org/0000-0003-1120-8467","observed_orcids":["https://orcid.org/0000-0003-1120-8467"]},"institutions":[{"id":"https://openalex.org/I76198965","display_name":"Friedrich Schiller University Jena","ror":"https://ror.org/05qpz1x62","country_code":"DE","type":"education","lineage":["https://openalex.org/I76198965"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Mario Ullrich","raw_affiliation_strings":["Mathematisches Institut, Universita\u0308t Jena Ernst-Abbe-Platz 2, 07743 Jena, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Universita\u0308t Jena Ernst-Abbe-Platz 2, 07743 Jena, Germany","institution_ids":["https://openalex.org/I76198965"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5088907596"],"corresponding_institution_ids":["https://openalex.org/I76198965"],"apc_list":{"value":4550,"currency":"USD","value_usd":4550},"apc_paid":null,"fwci":0.994,"has_fulltext":true,"cited_by_count":28,"citation_normalized_percentile":{"value":0.67092652,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"42","issue":"4","first_page":"520","last_page":"535"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.7178000211715698,"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"}},"topics":[{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.7178000211715698,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.1527000069618225,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"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":0.0949999988079071,"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/swendsen-wang-algorithm","display_name":"Swendsen-Wang algorithm","score":0.9929999709129333},{"id":"https://openalex.org/keywords/glauber-dynamics","display_name":"Glauber dynamics","score":0.9570000171661377},{"id":"https://openalex.org/keywords/spectral-gap","display_name":"spectral gap","score":0.8149999976158142},{"id":"https://openalex.org/keywords/potts-model","display_name":"Potts model","score":0.7720000147819519},{"id":"https://openalex.org/keywords/ising-model","display_name":"Ising model","score":0.9810000061988831},{"id":"https://openalex.org/keywords/rapid-mixing","display_name":"rapid mixing","score":0.878000020980835},{"id":"https://openalex.org/keywords/planar-graphs","display_name":"planar graphs","score":0.7580000162124634},{"id":"https://openalex.org/keywords/bounded-degree-graphs","display_name":"bounded degree graphs","score":0.7870000004768372},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.796999990940094},{"id":"https://openalex.org/keywords/critical-temperature","display_name":"critical temperature","score":0.593999981880188}],"concepts":[{"id":"https://openalex.org/C98925819","wikidata":"https://www.wikidata.org/wiki/Q7235385","display_name":"Potts model","level":3,"score":0.8901000022888184},{"id":"https://openalex.org/C2778114796","wikidata":"https://www.wikidata.org/wiki/Q7575194","display_name":"Spectral gap","level":2,"score":0.8197000026702881},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.8183000087738037},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7081999778747559},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.7071999907493591},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.632099986076355},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6007000207901001},{"id":"https://openalex.org/C107277493","wikidata":"https://www.wikidata.org/wiki/Q5101824","display_name":"Chiral Potts curve","level":4,"score":0.5321999788284302},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5214999914169312},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4569999873638153},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.43059998750686646},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.41429999470710754},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.39149999618530273},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.37290000915527344},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3310999870300293},{"id":"https://openalex.org/C154547637","wikidata":"https://www.wikidata.org/wiki/Q776602","display_name":"Expander graph","level":3,"score":0.310699999332428},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.29499998688697815},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.260699987411499},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2540999948978424}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1002/rsa.20431","doi":"https://doi.org/10.1002/rsa.20431","is_oa":false,"landing_page_url":"https://doi.org/10.1002/rsa.20431","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-2","norway-2","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures &amp; Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1105.3665","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1105.3665","pdf_url":"https://arxiv.org/pdf/1105.3665","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.225.9172","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.225.9172","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://users.minet.uni-jena.de/%7Eullrich/public/Ullrich-SWvsHB.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.764.6682","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.764.6682","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1105.3665.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1105.3665","doi":"https://doi.org/10.48550/arxiv.1105.3665","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1105.3665","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1105.3665","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1105.3665","pdf_url":"https://arxiv.org/pdf/1105.3665","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G8245911196","display_name":null,"funder_award_id":"GK 1523","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1982190141.pdf","grobid_xml":"https://content.openalex.org/works/W1982190141.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W195827557","https://openalex.org/W368930748","https://openalex.org/W1590167836","https://openalex.org/W1600293573","https://openalex.org/W1626881312","https://openalex.org/W1976418263","https://openalex.org/W1978935721","https://openalex.org/W1982328614","https://openalex.org/W1999150260","https://openalex.org/W2002456042","https://openalex.org/W2005897649","https://openalex.org/W2011373957","https://openalex.org/W2023502716","https://openalex.org/W2037139490","https://openalex.org/W2039387159","https://openalex.org/W2068908731","https://openalex.org/W2077810240","https://openalex.org/W2079416076","https://openalex.org/W2092260192","https://openalex.org/W2119565978","https://openalex.org/W2135481845","https://openalex.org/W2146613875","https://openalex.org/W2147710758","https://openalex.org/W2149111899","https://openalex.org/W2152708178","https://openalex.org/W2172207011","https://openalex.org/W2279676320","https://openalex.org/W2471517265","https://openalex.org/W3104870879"],"related_works":["https://openalex.org/W3122801050","https://openalex.org/W1980404829","https://openalex.org/W2199025587","https://openalex.org/W2003628723","https://openalex.org/W7101109993","https://openalex.org/W2963496965","https://openalex.org/W2152708178","https://openalex.org/W2146613875","https://openalex.org/W2596176946","https://openalex.org/W1522816836"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"prove":[2,79],"that":[3],"the":[4,8,12,28,40,48,57,61,72,83],"spectral":[5,29],"gap":[6,30],"of":[7,31,71],"Swendsen\u2010Wang":[9,73],"process":[10],"for":[11,39,60,75,82],"Potts":[13,42,85],"model":[14,43],"on":[15],"graphs":[16,77],"with":[17],"bounded":[18,21],"degree":[19],"is":[20],"from":[22],"below":[23],"by":[24],"some":[25],"constant":[26],"times":[27],"any":[32],"single\u2010spin":[33],"dynamics.":[34],"This":[35],"implies":[36],"rapid":[37,54,80],"mixing":[38,55,81],"two\u2010dimensional":[41,84],"at":[44,56,87],"all":[45,88],"temperatures":[46],"above":[47],"critical":[49,58],"one,":[50],"as":[51,53],"well":[52],"temperature":[59],"Ising":[62],"model.":[63],"After":[64],"this":[65],"we":[66],"introduce":[67],"a":[68],"modified":[69],"version":[70],"algorithm":[74],"planar":[76],"and":[78],"models":[86],"non\u2010critical":[89],"temperatures.":[90],"\u00a9":[91],"2012":[92],"Wiley":[93],"Periodicals,":[94],"Inc.":[95],"Random":[96],"Struct.":[97],"Alg.,":[98],"42,":[99],"520\u2013535,":[100],"2013":[101]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}
