{"id":"https://openalex.org/W2148508629","doi":"https://doi.org/10.1155/2014/409345","title":"Limit Properties of Transition Functions of Continuous-Time Markov Branching Processes","display_name":"Limit Properties of Transition Functions of Continuous-Time Markov Branching Processes","publication_year":2014,"publication_date":"2014-10-19","ids":{"openalex":"https://openalex.org/W2148508629","doi":"https://doi.org/10.1155/2014/409345","mag":"2148508629"},"language":"en","primary_location":{"id":"doi:10.1155/2014/409345","doi":"https://doi.org/10.1155/2014/409345","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/409345","pdf_url":null,"source":{"id":"https://openalex.org/S57081574","display_name":"International Journal of Stochastic Analysis","issn_l":"2090-3332","issn":["2090-3332","2090-3340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-b","cwts-core"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Stochastic Analysis","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1155/2014/409345","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025266662","display_name":"Azam Abdurakhimovich Imomov","orcid":"https://orcid.org/0000-0003-1082-0144","observed_orcids":["https://orcid.org/0000-0003-1082-0144"]},"institutions":[{"id":"https://openalex.org/I4210128068","display_name":"Karshi State University","ror":"https://ror.org/0350qvj56","country_code":"UZ","type":"education","lineage":["https://openalex.org/I4210128068"]}],"countries":["UZ"],"is_corresponding":true,"raw_author_name":"Azam A. Imomov","raw_affiliation_strings":["State Testing Center under Cabinet of Ministers of Republic of Uzbekistan, Karshi State University, 17 Kuchabag, 180100 Karshi, Uzbekistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Testing Center under Cabinet of Ministers of Republic of Uzbekistan, Karshi State University, 17 Kuchabag, 180100 Karshi, Uzbekistan","institution_ids":["https://openalex.org/I4210128068"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025266662"],"corresponding_institution_ids":["https://openalex.org/I4210128068"],"apc_list":null,"apc_paid":null,"fwci":0.4148,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.61947598,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9976000189781189,"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":0.9976000189781189,"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/T13500","display_name":"Probability and Statistical Research","score":0.00139999995008111,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.00019999999494757503,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/transition-maps","display_name":"transition functions","score":0.9900000095367432},{"id":"https://openalex.org/keywords/local-limit-theorem","display_name":"local limit theorem","score":0.9319999814033508},{"id":"https://openalex.org/keywords/limit-properties","display_name":"limit properties","score":0.6420000195503235},{"id":"https://openalex.org/keywords/invariance-properties","display_name":"invariance properties","score":0.8450000286102295}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.852141797542572},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6613339781761169},{"id":"https://openalex.org/C177255742","wikidata":"https://www.wikidata.org/wiki/Q4109953","display_name":"Branching process","level":2,"score":0.6260549426078796},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5740804672241211},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5686298608779907},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.5684181451797485},{"id":"https://openalex.org/C106666656","wikidata":"https://www.wikidata.org/wiki/Q6771323","display_name":"Markov kernel","level":5,"score":0.4431440532207489},{"id":"https://openalex.org/C98735484","wikidata":"https://www.wikidata.org/wiki/Q186971","display_name":"Time reversibility","level":5,"score":0.4387724995613098},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.42593562602996826},{"id":"https://openalex.org/C163540672","wikidata":"https://www.wikidata.org/wiki/Q1115431","display_name":"Markov renewal process","level":5,"score":0.4131712019443512},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40863901376724243},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33305293321609497},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32458800077438354},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2989324927330017},{"id":"https://openalex.org/C189973286","wikidata":"https://www.wikidata.org/wiki/Q176695","display_name":"Markov property","level":4,"score":0.28065162897109985},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.2680972218513489},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23041120171546936},{"id":"https://openalex.org/C54907487","wikidata":"https://www.wikidata.org/wiki/Q7915688","display_name":"Variable-order Markov model","level":4,"score":0.18498638272285461},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06466054916381836},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05296316742897034},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2014/409345","doi":"https://doi.org/10.1155/2014/409345","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/409345","pdf_url":null,"source":{"id":"https://openalex.org/S57081574","display_name":"International Journal of Stochastic Analysis","issn_l":"2090-3332","issn":["2090-3332","2090-3340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-b","cwts-core"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Stochastic Analysis","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jnijsa:409345","doi":null,"is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJSA/2014/409345.xml","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,"listed_in":[],"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"}],"best_oa_location":{"id":"doi:10.1155/2014/409345","doi":"https://doi.org/10.1155/2014/409345","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/409345","pdf_url":null,"source":{"id":"https://openalex.org/S57081574","display_name":"International Journal of Stochastic Analysis","issn_l":"2090-3332","issn":["2090-3332","2090-3340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-b","cwts-core"],"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Stochastic Analysis","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W316261418","https://openalex.org/W1983742722","https://openalex.org/W2041528866","https://openalex.org/W2046287086","https://openalex.org/W2066867848","https://openalex.org/W2080248938","https://openalex.org/W2082404215"],"related_works":["https://openalex.org/W2019735591","https://openalex.org/W4249175968","https://openalex.org/W4242346390","https://openalex.org/W2024318042","https://openalex.org/W2050665677","https://openalex.org/W4249319980","https://openalex.org/W2142406362","https://openalex.org/W2053574276","https://openalex.org/W2393621008","https://openalex.org/W1980477243"],"abstract_inverted_index":{"Consider":[0],"the":[1,12,25],"Markov":[2],"Branching":[3],"Process":[4],"with":[5],"continuous":[6],"time.":[7],"Our":[8],"focus":[9],"is":[10],"on":[11],"limit":[13,31],"properties":[14,39],"of":[15,18,24,40],"transition":[16],"functions":[17],"this":[19],"process.":[20,42],"Using":[21],"differential":[22],"analogue":[23],"Basic":[26],"Lemma":[27],"we":[28],"prove":[29],"local":[30],"theorems":[32],"for":[33],"all":[34],"cases":[35],"and":[36],"observe":[37],"invariant":[38],"considering":[41]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-09-22T06:50:58.402377","created_date":"2025-10-10T00:00:00"}