{"id":"https://openalex.org/W3156157234","doi":"https://doi.org/10.46298/lmcs-20(4:11)2024","title":"Stochastic Processes with Expected Stopping Time","display_name":"Stochastic Processes with Expected Stopping Time","publication_year":2024,"publication_date":"2024-11-12","ids":{"openalex":"https://openalex.org/W3156157234","doi":"https://doi.org/10.46298/lmcs-20(4:11)2024","mag":"3156157234"},"language":"en","primary_location":{"id":"doi:10.46298/lmcs-20(4:11)2024","is_oa":true,"landing_page_url":"http://dx.doi.org/10.46298/lmcs-20(4:11)2024","pdf_url":"https://lmcs.episciences.org/14723/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/14723/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052607806","display_name":"Krishnendu Chatterjee","orcid":"https://orcid.org/0000-0002-4561-241X"},"institutions":[{"id":"https://openalex.org/I157556583","display_name":"Institute of Science and Technology Austria","ror":"https://ror.org/03gnh5541","country_code":"AT","type":"education","lineage":["https://openalex.org/I157556583"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Krishnendu Chatterjee","raw_affiliation_strings":["IST Austria"],"affiliations":[{"raw_affiliation_string":"IST Austria","institution_ids":["https://openalex.org/I157556583"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102787606","display_name":"Laurent Doyen","orcid":"https://orcid.org/0000-0003-3714-6145"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"other","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Laurent Doyen","raw_affiliation_strings":["CNRS & LMF, ENS Paris-Saclay, France"],"affiliations":[{"raw_affiliation_string":"CNRS & LMF, ENS Paris-Saclay, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I29607241","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052607806"],"corresponding_institution_ids":["https://openalex.org/I157556583"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00497833,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"Volume 20, Issue 4","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9837999939918518,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.98089998960495,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stopping-time","display_name":"Stopping time","score":0.5280600190162659},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3743506073951721},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3449839651584625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32285740971565247},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21232280135154724},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17435386776924133}],"concepts":[{"id":"https://openalex.org/C99888217","wikidata":"https://www.wikidata.org/wiki/Q1288707","display_name":"Stopping time","level":2,"score":0.5280600190162659},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3743506073951721},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3449839651584625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32285740971565247},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21232280135154724},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17435386776924133}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.46298/lmcs-20(4:11)2024","is_oa":true,"landing_page_url":"http://dx.doi.org/10.46298/lmcs-20(4:11)2024","pdf_url":"https://lmcs.episciences.org/14723/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2104.07278","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.07278","pdf_url":"https://arxiv.org/pdf/2104.07278","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:c48e9a32147f497ab947aabeaa5a2493","is_oa":true,"landing_page_url":"https://doaj.org/article/c48e9a32147f497ab947aabeaa5a2493","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 20, Issue 4 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.46298/lmcs-20(4:11)2024","is_oa":true,"landing_page_url":"http://dx.doi.org/10.46298/lmcs-20(4:11)2024","pdf_url":"https://lmcs.episciences.org/14723/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.6800000071525574,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3156157234.pdf","grobid_xml":"https://content.openalex.org/works/W3156157234.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W177913229","https://openalex.org/W565955800","https://openalex.org/W1479674952","https://openalex.org/W1496590343","https://openalex.org/W1498432697","https://openalex.org/W1538639190","https://openalex.org/W1583869287","https://openalex.org/W1790469418","https://openalex.org/W1797219784","https://openalex.org/W1834996031","https://openalex.org/W1972203711","https://openalex.org/W1977070092","https://openalex.org/W1991004801","https://openalex.org/W2020293036","https://openalex.org/W2028145673","https://openalex.org/W2028482316","https://openalex.org/W2032100464","https://openalex.org/W2051068608","https://openalex.org/W2067754486","https://openalex.org/W2109100253","https://openalex.org/W2114554615","https://openalex.org/W2122410182","https://openalex.org/W2134802714","https://openalex.org/W2135776689","https://openalex.org/W2321292752","https://openalex.org/W2334782222","https://openalex.org/W2623293810","https://openalex.org/W2964349030","https://openalex.org/W2965309826","https://openalex.org/W2966589477","https://openalex.org/W4212875940","https://openalex.org/W4213269876","https://openalex.org/W4230164823","https://openalex.org/W4287210961","https://openalex.org/W4300395467"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"Markov":[0,13,18,103,155],"chains":[1,19,104,156],"are":[2],"the":[3,36,42,64,67,80,88,98,106,113,130,133,138,142],"de":[4],"facto":[5],"finite-state":[6],"model":[7],"for":[8,102,117,154,161],"stochastic":[9],"dynamical":[10],"systems,":[11],"and":[12,27,157],"decision":[14],"processes":[15],"(MDPs)":[16],"extend":[17],"by":[20,52],"incorporating":[21],"non-deterministic":[22],"behaviors.":[23],"Given":[24,129],"an":[25],"MDP":[26,43],"rewards":[28],"on":[29],"states,":[30],"a":[31,53,60,75,126],"classical":[32],"optimization":[33],"criterion":[34],"is":[35,84,110],"maximal":[37],"expected":[38,81,89,99],"total":[39,90],"reward":[40],"where":[41,66],"stops":[44],"after":[45],"T":[46],"steps,":[47],"which":[48,118],"can":[49,70,148],"be":[50,71,125,149],"computed":[51],"simple":[54],"dynamic":[55],"programming":[56],"algorithm.":[57],"We":[58],"consider":[59,137],"natural":[61],"generalization":[62],"of":[63,97,132,141],"problem":[65,101,108],"stopping":[68,82],"times":[69],"chosen":[72],"according":[73],"to":[74,86,112],"probability":[76],"distribution,":[77],"such":[78],"that":[79,146],"time":[83,153],"T,":[85],"optimize":[87],"reward.":[91],"Quite":[92],"surprisingly":[93],"we":[94,136,144],"establish":[95],"inter-reducibility":[96],"stopping-time":[100],"with":[105],"Positivity":[107],"(which":[109],"related":[111],"well-known":[114],"Skolem":[115],"problem),":[116],"establishing":[119],"either":[120],"decidability":[121],"or":[122],"undecidability":[123],"would":[124],"major":[127],"breakthrough.":[128],"hardness":[131],"exact":[134],"problem,":[135],"approximate":[139],"version":[140],"problem:":[143],"show":[145],"it":[147],"solved":[150],"in":[151,158],"exponential":[152,159],"space":[160],"MDPs.":[162]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}