{"id":"https://openalex.org/W2031369582","doi":"https://doi.org/10.1007/s00373-012-1175-x","title":"Exact Mixing Times for Random Walks on Trees","display_name":"Exact Mixing Times for Random Walks on Trees","publication_year":2012,"publication_date":"2012-04-17","ids":{"openalex":"https://openalex.org/W2031369582","doi":"https://doi.org/10.1007/s00373-012-1175-x","mag":"2031369582"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-012-1175-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-012-1175-x","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-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/A5073404056","display_name":"Andrew Beveridge","orcid":"https://orcid.org/0000-0002-9823-2867"},"institutions":[{"id":"https://openalex.org/I5444425","display_name":"Macalester College","ror":"https://ror.org/04fceqm38","country_code":"US","type":"education","lineage":["https://openalex.org/I5444425"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Andrew Beveridge","raw_affiliation_strings":["Department of Mathematics, Statistics and Computer Science, Macalester College, Saint Paul, MN, 55105, USA","Department of Mathematics, Statistics and Computer Science, Macalester College, Saint Paul, USA 55105#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science, Macalester College, Saint Paul, MN, 55105, USA","institution_ids":["https://openalex.org/I5444425"]},{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science, Macalester College, Saint Paul, USA 55105#TAB#","institution_ids":["https://openalex.org/I5444425"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100377147","display_name":"Meng Wang","orcid":"https://orcid.org/0000-0002-3094-7735"},"institutions":[{"id":"https://openalex.org/I5444425","display_name":"Macalester College","ror":"https://ror.org/04fceqm38","country_code":"US","type":"education","lineage":["https://openalex.org/I5444425"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Meng Wang","raw_affiliation_strings":["Department of Mathematics, Statistics and Computer Science, Macalester College, Saint Paul, MN, 55105, USA","Department of Mathematics, Statistics and Computer Science, Macalester College, Saint Paul, USA 55105#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science, Macalester College, Saint Paul, MN, 55105, USA","institution_ids":["https://openalex.org/I5444425"]},{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science, Macalester College, Saint Paul, USA 55105#TAB#","institution_ids":["https://openalex.org/I5444425"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5073404056"],"corresponding_institution_ids":["https://openalex.org/I5444425"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.7285,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.63834285,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"29","issue":"4","first_page":"757","last_page":"772"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9998000264167786,"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":0.9998000264167786,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9991000294685364,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9742000102996826,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8463258743286133},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8107983469963074},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6239416003227234},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5198295712471008},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.5117997527122498},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.49027207493782043},{"id":"https://openalex.org/keywords/pi","display_name":"Pi","score":0.43407681584358215},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4281042814254761},{"id":"https://openalex.org/keywords/star","display_name":"Star (game theory)","score":0.41247791051864624},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35430413484573364},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.23051944375038147},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09969523549079895},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0976639986038208},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06579470634460449}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8463258743286133},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8107983469963074},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6239416003227234},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5198295712471008},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.5117997527122498},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.49027207493782043},{"id":"https://openalex.org/C53009064","wikidata":"https://www.wikidata.org/wiki/Q167","display_name":"Pi","level":2,"score":0.43407681584358215},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4281042814254761},{"id":"https://openalex.org/C2780897414","wikidata":"https://www.wikidata.org/wiki/Q7600592","display_name":"Star (game theory)","level":2,"score":0.41247791051864624},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35430413484573364},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.23051944375038147},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09969523549079895},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0976639986038208},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06579470634460449},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-012-1175-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-012-1175-x","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1514107797","https://openalex.org/W1586184796","https://openalex.org/W1589640982","https://openalex.org/W1964535518","https://openalex.org/W1968695868","https://openalex.org/W1998827794","https://openalex.org/W2026806328","https://openalex.org/W2028548064","https://openalex.org/W2030070978","https://openalex.org/W2035254573","https://openalex.org/W2036762370","https://openalex.org/W2078711343","https://openalex.org/W2149002473","https://openalex.org/W2170807097"],"related_works":["https://openalex.org/W2030762054","https://openalex.org/W3157618815","https://openalex.org/W2401345448","https://openalex.org/W255820224","https://openalex.org/W2278807000","https://openalex.org/W2964228179","https://openalex.org/W2628590989","https://openalex.org/W2742629407","https://openalex.org/W279885097","https://openalex.org/W1528607006"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}