{"id":"https://openalex.org/W4254254303","doi":"https://doi.org/10.1017/s0021900200012924","title":"Upper Deviations for Split Times of Branching Processes","display_name":"Upper Deviations for Split Times of Branching Processes","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W4254254303","doi":"https://doi.org/10.1017/s0021900200012924"},"language":"en","primary_location":{"id":"doi:10.1017/s0021900200012924","is_oa":false,"landing_page_url":"http://doi.org/10.1017/s0021900200012924","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/A5005979835","display_name":"Hamed Amini","orcid":"https://orcid.org/0000-0001-9588-6374"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Hamed Amini","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5111986103","display_name":"Marc Lelarge","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marc Lelarge","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005979835"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4335,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.65765929,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"49","issue":"04","first_page":"1134","last_page":"1143"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":1.0,"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":1.0,"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":0.9976000189781189,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9034298658370972},{"id":"https://openalex.org/keywords/large-deviations-theory","display_name":"Large deviations theory","score":0.6314012408256531},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5924108028411865},{"id":"https://openalex.org/keywords/branching-process","display_name":"Branching process","score":0.5614479780197144},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.49616989493370056},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.49581965804100037},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.46447575092315674},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.45481714606285095},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.4347345232963562},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.42474448680877686},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.40495777130126953},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3846223056316376},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3377869725227356},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2567153573036194},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1267918050289154}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9034298658370972},{"id":"https://openalex.org/C75438885","wikidata":"https://www.wikidata.org/wiki/Q3403615","display_name":"Large deviations theory","level":2,"score":0.6314012408256531},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5924108028411865},{"id":"https://openalex.org/C177255742","wikidata":"https://www.wikidata.org/wiki/Q4109953","display_name":"Branching process","level":2,"score":0.5614479780197144},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.49616989493370056},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.49581965804100037},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.46447575092315674},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.45481714606285095},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.4347345232963562},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.42474448680877686},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.40495777130126953},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3846223056316376},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3377869725227356},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2567153573036194},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1267918050289154},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0021900200012924","is_oa":false,"landing_page_url":"http://doi.org/10.1017/s0021900200012924","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":[{"score":0.4699999988079071,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1981896702","https://openalex.org/W2049320821","https://openalex.org/W2053172003","https://openalex.org/W2060371851","https://openalex.org/W2080916265","https://openalex.org/W3105312468"],"related_works":["https://openalex.org/W2462424100","https://openalex.org/W2014836299","https://openalex.org/W2034871982","https://openalex.org/W2148974013","https://openalex.org/W2030362416","https://openalex.org/W4281493530","https://openalex.org/W2090969537","https://openalex.org/W4310804351","https://openalex.org/W4298328066","https://openalex.org/W2054432196"],"abstract_inverted_index":{"Upper":[0],"deviation":[1,57],"results":[2],"are":[3,35],"obtained":[4],"for":[5,25,45,54],"the":[6,20,26,29,33,46,55,60,66,72],"split":[7,30,61],"time":[8],"of":[9,22,32,59],"a":[10],"supercritical":[11],"continuous-time":[12],"Markov":[13],"branching":[14],"process.":[15],"More":[16],"precisely,":[17],"we":[18],"establish":[19],"existence":[21],"logarithmic":[23],"limits":[24],"likelihood":[27],"that":[28,65],"times":[31],"process":[34],"greater":[36],"than":[37],"an":[38,43,52],"identified":[39],"value":[40],"and":[41],"determine":[42],"expression":[44],"limiting":[47],"quantity.":[48],"We":[49],"also":[50],"give":[51],"estimation":[53],"lower":[56],"probability":[58],"times,":[62],"which":[63],"shows":[64],"scaling":[67],"is":[68],"completely":[69],"different":[70],"from":[71],"upper":[73],"deviations.":[74]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
