{"id":"https://openalex.org/W4248802175","doi":"https://doi.org/10.1017/s002190020011335x","title":"First exit time of a L\u00e9vy flight from a bounded region in \u211dN","display_name":"First exit time of a L\u00e9vy flight from a bounded region in \u211dN","publication_year":2015,"publication_date":"2015-09-01","ids":{"openalex":"https://openalex.org/W4248802175","doi":"https://doi.org/10.1017/s002190020011335x"},"language":"en","primary_location":{"id":"doi:10.1017/s002190020011335x","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s002190020011335x","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/FF24EE3B7EF73CBE62AF0A286451A962/S002190020011335Xa.pdf/div-class-title-first-exit-time-of-a-levy-flight-from-a-bounded-region-in-span-class-sup-span-class-italic-n-span-span-div.pdf","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":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/FF24EE3B7EF73CBE62AF0A286451A962/S002190020011335Xa.pdf/div-class-title-first-exit-time-of-a-levy-flight-from-a-bounded-region-in-span-class-sup-span-class-italic-n-span-span-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066350144","display_name":"Yoora Kim","orcid":"https://orcid.org/0000-0002-5992-0130"},"institutions":[{"id":"https://openalex.org/I40542001","display_name":"University of Ulsan","ror":"https://ror.org/02c2f8975","country_code":"KR","type":"education","lineage":["https://openalex.org/I40542001"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Yoora Kim","raw_affiliation_strings":["University of Ulsan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Ulsan","institution_ids":["https://openalex.org/I40542001"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047348004","display_name":"Irem Koprulu","orcid":"https://orcid.org/0000-0002-0919-6471"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Irem Koprulu","raw_affiliation_strings":["The Ohio State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Ohio State University","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035752536","display_name":"Ness B. Shroff","orcid":"https://orcid.org/0000-0002-4606-6879"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ness B. Shroff","raw_affiliation_strings":["The Ohio State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Ohio State University","institution_ids":["https://openalex.org/I52357470"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035752536","https://openalex.org/A5047348004","https://openalex.org/A5066350144"],"corresponding_institution_ids":["https://openalex.org/I40542001","https://openalex.org/I52357470"],"apc_list":null,"apc_paid":null,"fwci":0.1478,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59502606,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"52","issue":"03","first_page":"649","last_page":"664"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9991000294685364,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9760000109672546,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8242347240447998},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7758294939994812},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.6033024787902832},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5400065183639526},{"id":"https://openalex.org/keywords/first-hitting-time-model","display_name":"First-hitting-time model","score":0.4971823990345001},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.49067795276641846},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4067167639732361},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40306174755096436},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3488606810569763},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20082354545593262}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8242347240447998},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7758294939994812},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.6033024787902832},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5400065183639526},{"id":"https://openalex.org/C186659197","wikidata":"https://www.wikidata.org/wiki/Q5452195","display_name":"First-hitting-time model","level":2,"score":0.4971823990345001},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.49067795276641846},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4067167639732361},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40306174755096436},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3488606810569763},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20082354545593262},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s002190020011335x","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s002190020011335x","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/FF24EE3B7EF73CBE62AF0A286451A962/S002190020011335Xa.pdf/div-class-title-first-exit-time-of-a-levy-flight-from-a-bounded-region-in-span-class-sup-span-class-italic-n-span-span-div.pdf","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":{"id":"doi:10.1017/s002190020011335x","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s002190020011335x","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/FF24EE3B7EF73CBE62AF0A286451A962/S002190020011335Xa.pdf/div-class-title-first-exit-time-of-a-levy-flight-from-a-bounded-region-in-span-class-sup-span-class-italic-n-span-span-div.pdf","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"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.550000011920929,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G233455741","display_name":null,"funder_award_id":"W911NF-12-1-0385","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G4422833668","display_name":null,"funder_award_id":"W911NF-12-1-0385","funder_id":"https://openalex.org/F4320333591","funder_display_name":"Multidisciplinary University Research Initiative"},{"id":"https://openalex.org/G7452299184","display_name":null,"funder_award_id":"W911NF","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G7775299180","display_name":null,"funder_award_id":"NRF-2014R1A1A2057793","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320333591","display_name":"Multidisciplinary University Research Initiative","ror":null},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4248802175.pdf","grobid_xml":"https://content.openalex.org/works/W4248802175.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W1991536141","https://openalex.org/W2000593856","https://openalex.org/W2013915547","https://openalex.org/W2060699057","https://openalex.org/W2066452322","https://openalex.org/W2066686577","https://openalex.org/W2090250666","https://openalex.org/W2100224106","https://openalex.org/W2164886010","https://openalex.org/W2317501045","https://openalex.org/W3103600232"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W4386900933","https://openalex.org/W4385301946","https://openalex.org/W4297797135","https://openalex.org/W3125672081","https://openalex.org/W1673581201","https://openalex.org/W2991991550","https://openalex.org/W64182352","https://openalex.org/W4289799755"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"characterize":[4,28],"the":[5,8,11,35,39,45,49],"mean":[6,50],"and":[7,31,43],"distribution":[9,37,60],"of":[10,15,38,48,58],"first":[12,40,51],"exit":[13,41,52],"time":[14,53],"a":[16,20,55],"L\u00e9vy":[17],"flight":[18],"from":[19],"bounded":[21],"region":[22],"in":[23],"N":[24],"-dimensional":[25],"spaces.":[26],"We":[27],"tight":[29],"upper":[30],"lower":[32],"bounds":[33],"on":[34],"tail":[36],"time,":[42],"provide":[44],"exact":[46],"asymptotics":[47],"for":[54],"given":[56],"range":[57],"step-length":[59],"parameters.":[61]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}