{"id":"https://openalex.org/W2025268956","doi":"https://doi.org/10.1007/s10898-011-9819-6","title":"Markov chains, Hamiltonian cycles and volumes of convex bodies","display_name":"Markov chains, Hamiltonian cycles and volumes of convex bodies","publication_year":2011,"publication_date":"2011-11-22","ids":{"openalex":"https://openalex.org/W2025268956","doi":"https://doi.org/10.1007/s10898-011-9819-6","mag":"2025268956"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-011-9819-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-011-9819-6","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","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/A5018541798","display_name":"Vivek S. Borkar","orcid":"https://orcid.org/0000-0003-0756-5402"},"institutions":[{"id":"https://openalex.org/I11947397","display_name":"Tata Institute of Fundamental Research","ror":"https://ror.org/03ht1xw27","country_code":"IN","type":"education","lineage":["https://openalex.org/I11947397","https://openalex.org/I2799351866","https://openalex.org/I3149292468"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Vivek S. Borkar","raw_affiliation_strings":["School of Technology and Computer Science, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, 400005, India","School of Technology and Computer Science, Tata Institute of Fundamental Research, Mumbai, India 400005#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Technology and Computer Science, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, 400005, India","institution_ids":["https://openalex.org/I11947397"]},{"raw_affiliation_string":"School of Technology and Computer Science, Tata Institute of Fundamental Research, Mumbai, India 400005#TAB#","institution_ids":["https://openalex.org/I11947397"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090477818","display_name":"Jerzy A. Filar","orcid":"https://orcid.org/0000-0001-5587-2541"},"institutions":[{"id":"https://openalex.org/I169541294","display_name":"Flinders University","ror":"https://ror.org/01kpzv902","country_code":"AU","type":"education","lineage":["https://openalex.org/I169541294"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Jerzy A. Filar","raw_affiliation_strings":["School of Computer Science, Engineering and Mathematics, Flinders University, Bedford Park, Adelaide, SA, 5042, Australia","School of Computer Science, Engineering and Mathematics, Flinders University, Adelaide, Australia 5042"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Engineering and Mathematics, Flinders University, Bedford Park, Adelaide, SA, 5042, Australia","institution_ids":["https://openalex.org/I169541294"]},{"raw_affiliation_string":"School of Computer Science, Engineering and Mathematics, Flinders University, Adelaide, Australia 5042","institution_ids":["https://openalex.org/I169541294"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018541798"],"corresponding_institution_ids":["https://openalex.org/I11947397"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.10914236,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"55","issue":"3","first_page":"633","last_page":"639"},"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":0.9919999837875366,"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":0.9919999837875366,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9894000291824341,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9825000166893005,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8427664041519165},{"id":"https://openalex.org/keywords/hamiltonian-path-problem","display_name":"Hamiltonian path problem","score":0.6379608511924744},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6339597105979919},{"id":"https://openalex.org/keywords/hamiltonian-path","display_name":"Hamiltonian path","score":0.6108146905899048},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5700349807739258},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5385734438896179},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5089294910430908},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.45275282859802246},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.44903329014778137},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.3602215349674225},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33575400710105896},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.31467998027801514},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.30601930618286133},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.27251625061035156},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11233925819396973}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8427664041519165},{"id":"https://openalex.org/C104737047","wikidata":"https://www.wikidata.org/wiki/Q987652","display_name":"Hamiltonian path problem","level":4,"score":0.6379608511924744},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6339597105979919},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.6108146905899048},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5700349807739258},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5385734438896179},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5089294910430908},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.45275282859802246},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.44903329014778137},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.3602215349674225},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33575400710105896},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.31467998027801514},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.30601930618286133},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.27251625061035156},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11233925819396973},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10898-011-9819-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-011-9819-6","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:55:y:2013:i:3:p:633-639","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10898-011-9819-6","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:espace.library.uq.edu.au:UQ:414610","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402388","display_name":"Queensland's institutional digital repository (The University of Queensland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I165143802","host_organization_name":"The University of Queensland","host_organization_lineage":["https://openalex.org/I165143802"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","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":19,"referenced_works":["https://openalex.org/W89046493","https://openalex.org/W634962210","https://openalex.org/W1518931405","https://openalex.org/W1987679122","https://openalex.org/W1999342195","https://openalex.org/W2004640191","https://openalex.org/W2008636632","https://openalex.org/W2034738080","https://openalex.org/W2049620520","https://openalex.org/W2063342497","https://openalex.org/W2070593991","https://openalex.org/W2077789482","https://openalex.org/W2109532129","https://openalex.org/W2147487384","https://openalex.org/W2150757233","https://openalex.org/W2158126207","https://openalex.org/W2485544084","https://openalex.org/W4205961889","https://openalex.org/W4212998659"],"related_works":["https://openalex.org/W2613706597","https://openalex.org/W2092413117","https://openalex.org/W2618111812","https://openalex.org/W2087158646","https://openalex.org/W2027012440","https://openalex.org/W2600212144","https://openalex.org/W2029516767","https://openalex.org/W3160071949","https://openalex.org/W4287184329","https://openalex.org/W3024747504"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
