{"id":"https://openalex.org/W1940054392","doi":"https://doi.org/10.1007/s10998-017-0193-0","title":"Almost sure local limit theorem for the Dickman distribution","display_name":"Almost sure local limit theorem for the Dickman distribution","publication_year":2017,"publication_date":"2017-07-28","ids":{"openalex":"https://openalex.org/W1940054392","doi":"https://doi.org/10.1007/s10998-017-0193-0","mag":"1940054392"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-017-0193-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-017-0193-0","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1309.1578","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014978191","display_name":"Rita Giuliano","orcid":"https://orcid.org/0000-0002-1638-2651"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Rita Giuliano","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Pisa, Largo Bruno Pontecorvo 5, 56127, Pisa, Italy","Dipartimento di Matematica Universit\u00e1 di Pisa, Pisa, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Pisa, Largo Bruno Pontecorvo 5, 56127, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]},{"raw_affiliation_string":"Dipartimento di Matematica Universit\u00e1 di Pisa, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078917433","display_name":"Zbigniew S. Szewczak","orcid":"https://orcid.org/0000-0002-7228-858X"},"institutions":[{"id":"https://openalex.org/I3019271933","display_name":"Nicolaus Copernicus University","ror":"https://ror.org/0102mm775","country_code":"PL","type":"education","lineage":["https://openalex.org/I3019271933"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Zbigniew S. Szewczak","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100, Toru\u0144, Poland","Faculty of Mathematics and Computer Science , Nicolaus Copernicus University , Torun, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100, Toru\u0144, Poland","institution_ids":["https://openalex.org/I3019271933"]},{"raw_affiliation_string":"Faculty of Mathematics and Computer Science , Nicolaus Copernicus University , Torun, Poland","institution_ids":["https://openalex.org/I3019271933"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041036701","display_name":"Michel Weber","orcid":"https://orcid.org/0000-0002-7688-707X"},"institutions":[{"id":"https://openalex.org/I4210118362","display_name":"Institut de Recherche Math\u00e9matique Avanc\u00e9e","ror":"https://ror.org/02hwgty18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210118362","https://openalex.org/I4210141950","https://openalex.org/I68947357"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Michel J. G. Weber","raw_affiliation_strings":["IRMA, Universit\u00e9 Louis-Pasteur et C.N.R.S., 7 rue Ren\u00e9 Descartes, 67084, Strasbourg Cedex, France","IRMA, Universit\u00e9 Louis-Pasteur et C.N.R.S., Strasbourg Cedex, France"],"affiliations":[{"raw_affiliation_string":"IRMA, Universit\u00e9 Louis-Pasteur et C.N.R.S., 7 rue Ren\u00e9 Descartes, 67084, Strasbourg Cedex, France","institution_ids":["https://openalex.org/I4210118362"]},{"raw_affiliation_string":"IRMA, Universit\u00e9 Louis-Pasteur et C.N.R.S., Strasbourg Cedex, France","institution_ids":["https://openalex.org/I4210118362"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014978191"],"corresponding_institution_ids":["https://openalex.org/I108290504"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5356,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.69827393,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"76","issue":"2","first_page":"155","last_page":"197"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11720","display_name":"Probability and Risk Models","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11720","display_name":"Probability and Risk Models","score":0.9991999864578247,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9988999962806702,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9980999827384949,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8686107993125916},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.7671216130256653},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5943422317504883},{"id":"https://openalex.org/keywords/central-limit-theorem","display_name":"Central limit theorem","score":0.5467161536216736},{"id":"https://openalex.org/keywords/uniform-limit-theorem","display_name":"Uniform limit theorem","score":0.5076788663864136},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.505113422870636},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5043841600418091},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4459013342857361},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.39969930052757263},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3373282551765442},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21557709574699402},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08017623424530029}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8686107993125916},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.7671216130256653},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5943422317504883},{"id":"https://openalex.org/C166785042","wikidata":"https://www.wikidata.org/wiki/Q190391","display_name":"Central limit theorem","level":2,"score":0.5467161536216736},{"id":"https://openalex.org/C65092005","wikidata":"https://www.wikidata.org/wiki/Q7885107","display_name":"Uniform limit theorem","level":2,"score":0.5076788663864136},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.505113422870636},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5043841600418091},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4459013342857361},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39969930052757263},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3373282551765442},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21557709574699402},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08017623424530029},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10998-017-0193-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-017-0193-0","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1309.1578","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1309.1578","pdf_url":"https://arxiv.org/pdf/1309.1578","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01277719v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01277719","pdf_url":null,"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Periodica Mathematica Hungarica, 2018, 76 (2), pp.155-197. ⟨10.1007/s10998-017-0193-0⟩","raw_type":"Journal articles"},{"id":"pmh:oai:arpi.unipi.it:11568/892748","is_oa":false,"landing_page_url":"http://hdl.handle.net/11568/892748","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1309.1578","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1309.1578","pdf_url":"https://arxiv.org/pdf/1309.1578","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W74502591","https://openalex.org/W1515891447","https://openalex.org/W1562455717","https://openalex.org/W1965155608","https://openalex.org/W1983031115","https://openalex.org/W1989148351","https://openalex.org/W1992422944","https://openalex.org/W2002330177","https://openalex.org/W2013150049","https://openalex.org/W2023135717","https://openalex.org/W2045706825","https://openalex.org/W2058333203","https://openalex.org/W2088772065","https://openalex.org/W2120062331","https://openalex.org/W2131722136","https://openalex.org/W2154675796","https://openalex.org/W2159045005","https://openalex.org/W2169553777","https://openalex.org/W2201329049","https://openalex.org/W2573469536","https://openalex.org/W2918466505","https://openalex.org/W2963045014","https://openalex.org/W2963366328","https://openalex.org/W4212799367","https://openalex.org/W4241418880","https://openalex.org/W4298295580"],"related_works":["https://openalex.org/W2032286573","https://openalex.org/W2377661431","https://openalex.org/W2026122413","https://openalex.org/W2368839310","https://openalex.org/W181468653","https://openalex.org/W2762984199","https://openalex.org/W2083627354","https://openalex.org/W4300264874","https://openalex.org/W2357970004","https://openalex.org/W2226326133"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}