{"id":"https://openalex.org/W2138248941","doi":"https://doi.org/10.1112/jlms/jdu078","title":"Local asymptotics for the area of random walk excursions","display_name":"Local asymptotics for the area of random walk excursions","publication_year":2015,"publication_date":"2015-01-18","ids":{"openalex":"https://openalex.org/W2138248941","doi":"https://doi.org/10.1112/jlms/jdu078","mag":"2138248941"},"language":"en","primary_location":{"id":"doi:10.1112/jlms/jdu078","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdu078","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://opus.bibliothek.uni-augsburg.de/opus4/files/54861/54861.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081456950","display_name":"Denis Denisov","orcid":"https://orcid.org/0000-0003-0025-7140"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Denis Denisov","raw_affiliation_strings":["School of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, United Kindom, denis.denisov@manchester.ac.uk"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, United Kindom, denis.denisov@manchester.ac.uk","institution_ids":["https://openalex.org/I28407311"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065730561","display_name":"Martin Kolb","orcid":"https://orcid.org/0009-0008-1152-421X"},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Martin Kolb","raw_affiliation_strings":["Mathematisches Institut der Universita\u0308t Paderborn, Warburger Str. 100, 33098 Paderborn, Germany","Mathematisches Institut der Universit\u00e4t PaderbornWarburger Str. 10033098 PaderbornGermany"],"affiliations":[{"raw_affiliation_string":"Mathematisches Institut der Universita\u0308t Paderborn, Warburger Str. 100, 33098 Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]},{"raw_affiliation_string":"Mathematisches Institut der Universit\u00e4t PaderbornWarburger Str. 10033098 PaderbornGermany","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054817942","display_name":"Vitali Wachtel","orcid":"https://orcid.org/0000-0003-0174-7539"},"institutions":[{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Vitali Wachtel","raw_affiliation_strings":["Mathematical Institute, University of Munich, Theresienstrasse 39, D-80333 Munich, Germany, wachtel@mathematik.uni-muenchen.de","Mathematical Institute, University of Munich, Theresienstrasse 39, D\u201080333 Munich, Germany, wachtel@mathematik.uni\u2010muenchen.de"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Munich, Theresienstrasse 39, D-80333 Munich, Germany, wachtel@mathematik.uni-muenchen.de","institution_ids":[]},{"raw_affiliation_string":"Mathematical Institute, University of Munich, Theresienstrasse 39, D\u201080333 Munich, Germany, wachtel@mathematik.uni\u2010muenchen.de","institution_ids":["https://openalex.org/I8204097"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065730561"],"corresponding_institution_ids":["https://openalex.org/I206945453"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":2.0567,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.84682404,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"91","issue":"2","first_page":"495","last_page":"513"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9998000264167786,"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":0.9998000264167786,"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/T11720","display_name":"Probability and Risk Models","score":0.9962999820709229,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9941999912261963,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/excursion","display_name":"Excursion","score":0.8938146829605103},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.8595800995826721},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6667994260787964},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5811577439308167},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5633007884025574},{"id":"https://openalex.org/keywords/central-limit-theorem","display_name":"Central limit theorem","score":0.5412279367446899},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.45436009764671326},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3855016231536865},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3038349151611328},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.24721336364746094},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14482799172401428}],"concepts":[{"id":"https://openalex.org/C2780550144","wikidata":"https://www.wikidata.org/wiki/Q1156976","display_name":"Excursion","level":2,"score":0.8938146829605103},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.8595800995826721},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6667994260787964},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5811577439308167},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5633007884025574},{"id":"https://openalex.org/C166785042","wikidata":"https://www.wikidata.org/wiki/Q190391","display_name":"Central limit theorem","level":2,"score":0.5412279367446899},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.45436009764671326},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3855016231536865},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3038349151611328},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24721336364746094},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14482799172401428},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1112/jlms/jdu078","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdu078","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:uni-augsburg.opus-bayern.de:54861","is_oa":true,"landing_page_url":"https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-548611","pdf_url":"https://opus.bibliothek.uni-augsburg.de/opus4/files/54861/54861.pdf","source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"pmh:oai:pub.uni-bielefeld.de:2980606","is_oa":false,"landing_page_url":"https://pub.uni-bielefeld.de/record/2980606","pdf_url":null,"source":{"id":"https://openalex.org/S4306401670","display_name":"PUB \u2013 Publications at Bielefeld University (Bielefeld University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20121455","host_organization_name":"Bielefeld University","host_organization_lineage":["https://openalex.org/I20121455"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"http://purl.org/coar/resource_type/c_6501"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/759bd357-7a6f-475d-856e-8f6f47317df1","is_oa":false,"landing_page_url":"https://research.manchester.ac.uk/en/publications/759bd357-7a6f-475d-856e-8f6f47317df1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Denisov, D, Kolb, M & Wachtel, V 2015, 'Local asymptotics for the area of random walk excursions', Journal of the London Mathematical Society. https://doi.org/10.1112/jlms/jdu078","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.atira.dk:publications/759bd357-7a6f-475d-856e-8f6f47317df1","is_oa":false,"landing_page_url":"http://jlms.oxfordjournals.org/content/early/2015/01/18/jlms.jdu078","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Denisov, D, Kolb, M & Wachtel, V 2015, 'Local asymptotics for the area of random walk excursions', Journal of the London Mathematical Society. https://doi.org/10.1112/jlms/jdu078","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:uni-augsburg.opus-bayern.de:54861","is_oa":true,"landing_page_url":"https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-548611","pdf_url":"https://opus.bibliothek.uni-augsburg.de/opus4/files/54861/54861.pdf","source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2138248941.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W609892630","https://openalex.org/W1550141240","https://openalex.org/W1552566358","https://openalex.org/W1968590690","https://openalex.org/W1975340857","https://openalex.org/W1976991876","https://openalex.org/W1979228272","https://openalex.org/W1988743789","https://openalex.org/W1999595185","https://openalex.org/W2010528660","https://openalex.org/W2016466781","https://openalex.org/W2025804280","https://openalex.org/W2041043703","https://openalex.org/W2052293692","https://openalex.org/W2067555633","https://openalex.org/W2069626006","https://openalex.org/W2082185731","https://openalex.org/W2092112491","https://openalex.org/W2098274133","https://openalex.org/W2130588964","https://openalex.org/W2132644772","https://openalex.org/W2141240899","https://openalex.org/W2320998714","https://openalex.org/W2332575504","https://openalex.org/W2751862591","https://openalex.org/W2790825170","https://openalex.org/W3100304466","https://openalex.org/W3102278326","https://openalex.org/W3102639043","https://openalex.org/W4230441600","https://openalex.org/W6677382749","https://openalex.org/W6680835014"],"related_works":["https://openalex.org/W1971411732","https://openalex.org/W2362407587","https://openalex.org/W4205248644","https://openalex.org/W3097042218","https://openalex.org/W1486720777","https://openalex.org/W2323144091","https://openalex.org/W2947935833","https://openalex.org/W4376652961","https://openalex.org/W2370629732","https://openalex.org/W2090422802"],"abstract_inverted_index":{"We":[0],"prove":[1],"a":[2],"local":[3],"limit":[4],"theorem":[5],"for":[6],"the":[7,10],"area":[8],"of":[9,13,28],"positive":[11],"excursion":[12],"random":[14],"walks":[15],"with":[16],"zero":[17],"mean":[18],"and":[19,30,37],"finite":[20],"variance.":[21],"Our":[22],"main":[23],"result":[24],"complements":[25],"previous":[26],"work":[27],"Caravenna":[29],"Chaumont;":[31],"Sohier,":[32],"as":[33,35],"well":[34],"Kim":[36],"Pittel.":[38]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}