{"id":"https://openalex.org/W2952973791","doi":"https://doi.org/10.1017/s0021900200011414","title":"A Characterisation of Transient Random Walks on Stochastic Matrices with Dirichlet Distributed Limits","display_name":"A Characterisation of Transient Random Walks on Stochastic Matrices with Dirichlet Distributed Limits","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2952973791","doi":"https://doi.org/10.1017/s0021900200011414","mag":"2952973791"},"language":"en","primary_location":{"id":"doi:10.1017/s0021900200011414","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0021900200011414","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/A5061561209","display_name":"Shaun McKinlay","orcid":null},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"S. McKinlay","raw_affiliation_strings":["University of Melbourne"],"affiliations":[{"raw_affiliation_string":"University of Melbourne","institution_ids":["https://openalex.org/I165779595"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5061561209"],"corresponding_institution_ids":["https://openalex.org/I165779595"],"apc_list":null,"apc_paid":null,"fwci":1.3022,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.8292547,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"51","issue":"02","first_page":"542","last_page":"555"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9986000061035156,"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/T11716","display_name":"Random Matrices and Applications","score":0.9986000061035156,"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":0.9972000122070312,"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":0.9950000047683716,"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/mathematics","display_name":"Mathematics","score":0.8697359561920166},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.7670272588729858},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.6345466375350952},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.59231036901474},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5500697493553162},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4893731474876404},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.48199597001075745},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4494004249572754},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.421764612197876},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36319857835769653},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32976430654525757},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2317621111869812},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16472628712654114}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8697359561920166},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.7670272588729858},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.6345466375350952},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.59231036901474},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5500697493553162},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4893731474876404},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.48199597001075745},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4494004249572754},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.421764612197876},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36319857835769653},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32976430654525757},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2317621111869812},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16472628712654114},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0021900200011414","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0021900200011414","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W567951592","https://openalex.org/W584423923","https://openalex.org/W1522371103","https://openalex.org/W1969909675","https://openalex.org/W1985771424","https://openalex.org/W1988243855","https://openalex.org/W1988987655","https://openalex.org/W1993235143","https://openalex.org/W1993926823","https://openalex.org/W1999947563","https://openalex.org/W2000620449","https://openalex.org/W2002546119","https://openalex.org/W2012651852","https://openalex.org/W2021255549","https://openalex.org/W2022449909","https://openalex.org/W2027796801","https://openalex.org/W2059121108","https://openalex.org/W2061370939","https://openalex.org/W2064082362","https://openalex.org/W2086605818","https://openalex.org/W2121645996","https://openalex.org/W2141054227","https://openalex.org/W2166325326","https://openalex.org/W2315445438","https://openalex.org/W4241422078"],"related_works":["https://openalex.org/W2347733609","https://openalex.org/W2998167305","https://openalex.org/W2605475288","https://openalex.org/W1979026279","https://openalex.org/W2292976891","https://openalex.org/W2128683635","https://openalex.org/W4245457074","https://openalex.org/W4240383795","https://openalex.org/W2066502241","https://openalex.org/W2008809748"],"abstract_inverted_index":{"We":[0],"characterise":[1],"the":[2,12,15,51],"class":[3],"of":[4,6,31,41,73],"distributions":[5],"random":[7],"stochastic":[8],"matrices":[9],"X":[10,17,21,29,37,42],"with":[11],"property":[13],"that":[14,71],"products":[16],"(":[18,22,38],"n":[19,23,47],")":[20,40],"-":[24],"1)":[25],"\u00b7":[26,27,28],"(1)":[30],"independent":[32],"and":[33,50,62,65],"identically":[34],"distributed":[35],"copies":[36],"k":[39],"converge":[43],"almost":[44],"surely":[45],"as":[46],"\u2192":[48],"\u221e":[49],"limit":[52],"is":[53,66],"Dirichlet":[54],"distributed.":[55],"This":[56],"extends":[57],"a":[58],"result":[59],"by":[60,68],"Chamayou":[61],"Letac":[63],"(1994)":[64],"illustrated":[67],"several":[69],"examples":[70],"are":[72],"interest":[74],"in":[75],"applications.":[76]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
