{"id":"https://openalex.org/W2962696034","doi":"https://doi.org/10.1137/140998913","title":"Asymptotic Control for a Class of Piecewise Deterministic Markov Processes Associated to Temperate Viruses","display_name":"Asymptotic Control for a Class of Piecewise Deterministic Markov Processes Associated to Temperate Viruses","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2962696034","doi":"https://doi.org/10.1137/140998913","mag":"2962696034"},"language":"en","primary_location":{"id":"doi:10.1137/140998913","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140998913","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-01089528v4/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030027464","display_name":"Dan Goreac","orcid":"https://orcid.org/0000-0002-8693-6672"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Dan Goreac","raw_affiliation_strings":["PS (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"PS (France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5030027464"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9413,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.87841695,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"53","issue":"4","first_page":"1860","last_page":"1891"},"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":0.9708999991416931,"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":0.9708999991416931,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9200000166893005,"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/piecewise","display_name":"Piecewise","score":0.7001228928565979},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6543148756027222},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6174752116203308},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.5786823034286499},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.5760259032249451},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.5434740781784058},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5223156809806824},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4740200638771057},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4620935320854187},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4578408896923065},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4524591565132141},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.44818592071533203},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.4310181140899658},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37077879905700684},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2151247262954712},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17765936255455017},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09815788269042969},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08715453743934631}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7001228928565979},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6543148756027222},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6174752116203308},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.5786823034286499},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.5760259032249451},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.5434740781784058},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5223156809806824},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4740200638771057},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4620935320854187},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4578408896923065},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4524591565132141},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.44818592071533203},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.4310181140899658},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37077879905700684},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2151247262954712},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17765936255455017},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09815788269042969},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08715453743934631},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/140998913","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140998913","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01089528v4","is_oa":true,"landing_page_url":"https://hal.science/hal-01089528","pdf_url":"https://hal.science/hal-01089528v4/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization, 2015, 53 (4), pp.1860-1891. &#x27E8;10.1137/140998913&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01089528v4","is_oa":true,"landing_page_url":"https://hal.science/hal-01089528","pdf_url":"https://hal.science/hal-01089528v4/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization, 2015, 53 (4), pp.1860-1891. &#x27E8;10.1137/140998913&#x27E9;","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3029112069","display_name":"Pdmp : Inference, Evolution, Control and Ergodicity","funder_award_id":"ANR-12-JS01-0006","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6702880738","display_name":null,"funder_award_id":"ANR-12","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2962696034.pdf","grobid_xml":"https://content.openalex.org/works/W2962696034.grobid-xml"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W91439453","https://openalex.org/W152634631","https://openalex.org/W354839235","https://openalex.org/W1640060650","https://openalex.org/W1966871367","https://openalex.org/W1967281297","https://openalex.org/W1981132030","https://openalex.org/W1989068306","https://openalex.org/W1992759804","https://openalex.org/W1994167177","https://openalex.org/W1995171462","https://openalex.org/W1995641027","https://openalex.org/W1999716743","https://openalex.org/W2000961292","https://openalex.org/W2017032949","https://openalex.org/W2018219999","https://openalex.org/W2024042911","https://openalex.org/W2029457073","https://openalex.org/W2032671523","https://openalex.org/W2039569152","https://openalex.org/W2043733547","https://openalex.org/W2051631857","https://openalex.org/W2052109781","https://openalex.org/W2062736751","https://openalex.org/W2065326904","https://openalex.org/W2072750221","https://openalex.org/W2076100084","https://openalex.org/W2077062400","https://openalex.org/W2092487949","https://openalex.org/W2095561726","https://openalex.org/W2096430401","https://openalex.org/W2096877327","https://openalex.org/W2098745223","https://openalex.org/W2100679298","https://openalex.org/W2108566619","https://openalex.org/W2130401049","https://openalex.org/W2131926536","https://openalex.org/W2141616022","https://openalex.org/W2143706916","https://openalex.org/W2143948401","https://openalex.org/W2156992384","https://openalex.org/W2168053927","https://openalex.org/W2268101501","https://openalex.org/W2524112160","https://openalex.org/W2751862591","https://openalex.org/W3101860591","https://openalex.org/W3105417119","https://openalex.org/W4233803776","https://openalex.org/W4251849361"],"related_works":["https://openalex.org/W2371200319","https://openalex.org/W2367609594","https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W2133947431","https://openalex.org/W2490196280","https://openalex.org/W3208509670","https://openalex.org/W2100864966","https://openalex.org/W2109304297","https://openalex.org/W2083709218"],"abstract_inverted_index":{"We":[0],"aim":[1],"at":[2],"characterizing":[3],"the":[4,11,44,53,65,74,83,112],"asymptotic":[5],"behavior":[6],"of":[7,13,19,29,40,73,114],"value":[8,67,116],"functions":[9,117],"in":[10,107],"control":[12],"piecewise":[14,120],"deterministic":[15],"Markov":[16],"processes":[17,30],"(PDMP)":[18],"switch":[20],"type":[21],"under":[22],"nonexpansive":[23],"assumptions.":[24],"For":[25],"a":[26],"particular":[27],"class":[28],"inspired":[31],"by":[32],"temperate":[33],"viruses,":[34],"we":[35,110],"show":[36],"that":[37],"uniform":[38],"limits":[39],"discounted":[41,115],"problems":[42,51],"as":[43,52],"discount":[45],"decreases":[46],"to":[47,57,68,101],"zero":[48],"and":[49,60,76,95],"time-averaged":[50],"time":[54],"horizon":[55],"increases":[56],"infinity":[58],"exist":[59],"coincide.":[61],"The":[62,85],"arguments":[63],"allow":[64],"limit":[66],"depend":[69],"on":[70,82,89],"initial":[71],"configuration":[72],"system":[75],"do":[77],"not":[78],"require":[79],"dissipative":[80],"properties":[81],"dynamics.":[84],"approach":[86],"strongly":[87],"relies":[88],"viscosity":[90],"techniques,":[91],"linear":[92],"programming":[93],"arguments,":[94],"coupling":[96],"via":[97],"random":[98],"measures":[99],"associated":[100],"PDMP.":[102],"As":[103],"an":[104],"intermediate":[105],"step":[106],"our":[108],"approach,":[109],"present":[111],"approximation":[113],"when":[118],"using":[119],"constant":[121],"(in":[122],"time)":[123],"open-loop":[124],"policies.":[125]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
