{"id":"https://openalex.org/W2952845189","doi":"https://doi.org/10.1017/s0021900200009219","title":"Lie Algebra Solution of Population Models Based on Time-Inhomogeneous Markov Chains","display_name":"Lie Algebra Solution of Population Models Based on Time-Inhomogeneous Markov Chains","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W2952845189","doi":"https://doi.org/10.1017/s0021900200009219","mag":"2952845189"},"language":"en","primary_location":{"id":"doi:10.1017/s0021900200009219","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0021900200009219","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/A5051842696","display_name":"Thomas House","orcid":"https://orcid.org/0000-0001-5835-8062"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Thomas House","raw_affiliation_strings":["University of Warwick"],"affiliations":[{"raw_affiliation_string":"University of Warwick","institution_ids":["https://openalex.org/I39555362"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5051842696"],"corresponding_institution_ids":["https://openalex.org/I39555362"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.32222295,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"49","issue":"02","first_page":"472","last_page":"481"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9811000227928162,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9575999975204468,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7241025567054749},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6501033306121826},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.6419179439544678},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.5796769261360168},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5710757374763489},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.456875205039978},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.44905877113342285},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4223533868789673},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3273387551307678},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3251979947090149},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1229846179485321},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12241774797439575}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7241025567054749},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6501033306121826},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6419179439544678},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.5796769261360168},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5710757374763489},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.456875205039978},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.44905877113342285},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4223533868789673},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3273387551307678},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3251979947090149},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1229846179485321},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12241774797439575},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0021900200009219","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0021900200009219","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/G1934935867","display_name":null,"funder_award_id":"Engineering and Physical Sciences R","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1997286235","https://openalex.org/W2000518810","https://openalex.org/W2007171191","https://openalex.org/W2019740931","https://openalex.org/W2042812053","https://openalex.org/W2071461214","https://openalex.org/W2092721168","https://openalex.org/W2130727150","https://openalex.org/W2132192754","https://openalex.org/W2132775530","https://openalex.org/W2166022262","https://openalex.org/W2950733010","https://openalex.org/W3125172844"],"related_works":["https://openalex.org/W1660242800","https://openalex.org/W2077211377","https://openalex.org/W3152686072","https://openalex.org/W1006270037","https://openalex.org/W3129238073","https://openalex.org/W2379651310","https://openalex.org/W2113019827","https://openalex.org/W1541249122","https://openalex.org/W2413828414","https://openalex.org/W2367222340"],"abstract_inverted_index":{"Many":[0],"natural":[1],"populations":[2],"are":[3],"well":[4],"modelled":[5],"through":[6],"time-inhomogeneous":[7],"stochastic":[8],"processes.":[9],"Such":[10],"processes":[11],"have":[12],"been":[13],"analysed":[14],"in":[15],"the":[16,46],"physical":[17],"sciences":[18],"using":[19],"a":[20,63],"method":[21],"based":[22],"on":[23],"Lie":[24,47],"algebras,":[25],"but":[26],"this":[27,42,61],"methodology":[28],"is":[29,62,67],"not":[30],"widely":[31],"used":[32],"for":[33],"models":[34],"with":[35],"ecological,":[36],"medical,":[37],"and":[38,50],"social":[39],"applications.":[40],"In":[41],"paper":[43],"we":[44],"present":[45],"algebraic":[48],"method,":[49],"apply":[51],"it":[52],"to":[53],"three":[54],"biologically":[55],"well-motivated":[56],"examples.":[57],"The":[58],"result":[59],"of":[60],"solution":[64],"form":[65],"that":[66],"often":[68],"highly":[69],"computationally":[70],"advantageous.":[71]},"counts_by_year":[{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-11T06:11:40.159057","created_date":"2025-10-10T00:00:00"}
