{"id":"https://openalex.org/W2949281073","doi":"https://doi.org/10.1017/s0021900200013723","title":"Comparison of Cutoffs Between Lazy Walks and Markovian Semigroups","display_name":"Comparison of Cutoffs Between Lazy Walks and Markovian Semigroups","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2949281073","doi":"https://doi.org/10.1017/s0021900200013723","mag":"2949281073"},"language":"en","primary_location":{"id":"doi:10.1017/s0021900200013723","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0021900200013723","pdf_url":null,"source":{"id":"https://openalex.org/S160779208","display_name":"Journal of Applied Probability","issn_l":"0021-9002","issn":["0021-9002","1475-6072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","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/A5100783376","display_name":"Guan\u2010Yu Chen","orcid":"https://orcid.org/0000-0002-2374-3742"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Guan-Yu Chen","raw_affiliation_strings":["Department of Applied Mathematics"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067207257","display_name":"Laurent Saloff\u2010Coste","orcid":"https://orcid.org/0000-0001-6285-1845"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Laurent Saloff-Coste","raw_affiliation_strings":["cornell University"],"affiliations":[{"raw_affiliation_string":"cornell University","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100783376"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3256,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70160586,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"50","issue":"04","first_page":"943","last_page":"959"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.998199999332428,"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/T11476","display_name":"Graph theory and applications","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.8952330946922302},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.7399259209632874},{"id":"https://openalex.org/keywords/stochastic-matrix","display_name":"Stochastic matrix","score":0.6089522242546082},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.6011422872543335},{"id":"https://openalex.org/keywords/mixing","display_name":"Mixing (physics)","score":0.5903200507164001},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5758821964263916},{"id":"https://openalex.org/keywords/birth\u2013death-process","display_name":"Birth\u2013death process","score":0.5475174784660339},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5215563774108887},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.5103608965873718},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.47858619689941406},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.4676838517189026},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.43892353773117065},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.359498530626297},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35697779059410095},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35079139471054077},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33522310853004456},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3262892961502075},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2667562961578369},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0794021487236023}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8952330946922302},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.7399259209632874},{"id":"https://openalex.org/C49555168","wikidata":"https://www.wikidata.org/wiki/Q176583","display_name":"Stochastic matrix","level":3,"score":0.6089522242546082},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.6011422872543335},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.5903200507164001},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5758821964263916},{"id":"https://openalex.org/C65990518","wikidata":"https://www.wikidata.org/wiki/Q1456275","display_name":"Birth\u2013death process","level":3,"score":0.5475174784660339},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5215563774108887},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.5103608965873718},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.47858619689941406},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.4676838517189026},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.43892353773117065},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.359498530626297},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35697779059410095},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35079139471054077},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33522310853004456},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3262892961502075},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2667562961578369},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0794021487236023},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0021900200013723","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0021900200013723","pdf_url":null,"source":{"id":"https://openalex.org/S160779208","display_name":"Journal of Applied Probability","issn_l":"0021-9002","issn":["0021-9002","1475-6072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5487231515","display_name":null,"funder_award_id":"NSC100-","funder_id":"https://openalex.org/F4320321040","funder_display_name":"National Science Council"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","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"},{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1596709027","https://openalex.org/W1986979025","https://openalex.org/W2020053487","https://openalex.org/W2024316355","https://openalex.org/W2043236011","https://openalex.org/W2086490380","https://openalex.org/W2166134060","https://openalex.org/W2610857016","https://openalex.org/W2963315498"],"related_works":["https://openalex.org/W1597743604","https://openalex.org/W2038723108","https://openalex.org/W2011108310","https://openalex.org/W4239828886","https://openalex.org/W2321135796","https://openalex.org/W2108645095","https://openalex.org/W2090542186","https://openalex.org/W2026530380","https://openalex.org/W3036276378","https://openalex.org/W2008824346"],"abstract_inverted_index":{"We":[0],"make":[1],"a":[2,37],"connection":[3],"between":[4],"the":[5,15,44],"continuous":[6],"time":[7,11,21],"and":[8,19,32,35],"lazy":[9],"discrete":[10],"Markov":[12],"chains":[13,34],"through":[14],"comparison":[16],"of":[17,43],"cutoffs":[18,40],"mixing":[20],"in":[22],"total":[23],"variation":[24],"distance.":[25],"For":[26],"illustration,":[27],"we":[28],"consider":[29],"finite":[30],"birth":[31],"death":[33],"provide":[36],"criterion":[38],"on":[39],"using":[41],"eigenvalues":[42],"transition":[45],"matrix.":[46]},"counts_by_year":[{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-15T09:29:46.208133","created_date":"2025-10-10T00:00:00"}