{"id":"https://openalex.org/W2111115969","doi":"https://doi.org/10.1007/s00224-005-1265-8","title":"Local Limit Properties for Pattern Statistics and Rational Models","display_name":"Local Limit Properties for Pattern Statistics and Rational Models","publication_year":2005,"publication_date":"2005-11-16","ids":{"openalex":"https://openalex.org/W2111115969","doi":"https://doi.org/10.1007/s00224-005-1265-8","mag":"2111115969"},"language":"en","primary_location":{"id":"doi:10.1007/s00224-005-1265-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-005-1265-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"0025-5661","issn":["0025-5661","1432-4350","1433-0490"],"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":"Theory of Computing Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2434/4784","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109187092","display_name":"Alberto Bertoni","orcid":null},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Alberto Bertoni","raw_affiliation_strings":["Dipartimento di Scienze dell'Informazione, Universita degli Studi di Milano,\nVia Comelico 39/41, 20135 Milano, Italy","Dipartimento di Scienze dell'Informazione, Universita degli Studi di Milano,#N#Via Comelico 39/41, 20135 Milano"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze dell'Informazione, Universita degli Studi di Milano,\nVia Comelico 39/41, 20135 Milano, Italy","institution_ids":["https://openalex.org/I189158943"]},{"raw_affiliation_string":"Dipartimento di Scienze dell'Informazione, Universita degli Studi di Milano,#N#Via Comelico 39/41, 20135 Milano","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113563002","display_name":"Christian Choffrut","orcid":"https://orcid.org/0000-0002-9849-3514"},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210094115","display_name":"Laboratoire d'Informatique Algorithmique: Fondements et Applications","ror":"https://ror.org/00pbqgm18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210094115","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Christian Choffrut","raw_affiliation_strings":["L.I.A.F.A., Universite Paris VII, 2 Place Jussieu, 75221 Paris, France","L.I.A.F.A., Universite Paris VII, 2 Place Jussieu, 75221 Paris"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"L.I.A.F.A., Universite Paris VII, 2 Place Jussieu, 75221 Paris, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210094115"]},{"raw_affiliation_string":"L.I.A.F.A., Universite Paris VII, 2 Place Jussieu, 75221 Paris","institution_ids":["https://openalex.org/I204730241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063769823","display_name":"Massimiliano Goldwurm","orcid":"https://orcid.org/0000-0003-0903-4699"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Massimiliano Goldwurm","raw_affiliation_strings":["Dipartimento di Scienze dell'Informazione, Universita degli Studi di Milano,\nVia Comelico 39/41, 20135 Milano, Italy","Dipartimento di Scienze dell'Informazione, Universita degli Studi di Milano,#N#Via Comelico 39/41, 20135 Milano"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze dell'Informazione, Universita degli Studi di Milano,\nVia Comelico 39/41, 20135 Milano, Italy","institution_ids":["https://openalex.org/I189158943"]},{"raw_affiliation_string":"Dipartimento di Scienze dell'Informazione, Universita degli Studi di Milano,#N#Via Comelico 39/41, 20135 Milano","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102775777","display_name":"Violetta Lonati","orcid":"https://orcid.org/0000-0002-4722-244X"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Violetta Lonati","raw_affiliation_strings":["Dipartimento di Scienze dell'Informazione, Universita degli Studi di Milano,\nVia Comelico 39/41, 20135 Milano, Italy","Dipartimento di Scienze dell'Informazione, Universita degli Studi di Milano,#N#Via Comelico 39/41, 20135 Milano"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze dell'Informazione, Universita degli Studi di Milano,\nVia Comelico 39/41, 20135 Milano, Italy","institution_ids":["https://openalex.org/I189158943"]},{"raw_affiliation_string":"Dipartimento di Scienze dell'Informazione, Universita degli Studi di Milano,#N#Via Comelico 39/41, 20135 Milano","institution_ids":["https://openalex.org/I189158943"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063769823","https://openalex.org/A5102775777","https://openalex.org/A5109187092","https://openalex.org/A5113563002"],"corresponding_institution_ids":["https://openalex.org/I189158943","https://openalex.org/I204730241","https://openalex.org/I4210094115"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":0.6459,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.7280907,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"39","issue":"1","first_page":"209","last_page":"235"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9987999796867371,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.8552143573760986},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.7042445540428162},{"id":"https://openalex.org/keywords/formal-power-series","display_name":"Formal power series","score":0.6276035308837891},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5922482013702393},{"id":"https://openalex.org/keywords/central-limit-theorem","display_name":"Central limit theorem","score":0.5680480003356934},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5550937652587891},{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.5472509264945984},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5145894289016724},{"id":"https://openalex.org/keywords/power-series","display_name":"Power series","score":0.5004141330718994},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4750383198261261},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.44078707695007324},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3844435214996338},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3474026322364807},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32349759340286255},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1815212070941925}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8552143573760986},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.7042445540428162},{"id":"https://openalex.org/C151746172","wikidata":"https://www.wikidata.org/wiki/Q1003025","display_name":"Formal power series","level":3,"score":0.6276035308837891},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5922482013702393},{"id":"https://openalex.org/C166785042","wikidata":"https://www.wikidata.org/wiki/Q190391","display_name":"Central limit theorem","level":2,"score":0.5680480003356934},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5550937652587891},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.5472509264945984},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5145894289016724},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.5004141330718994},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4750383198261261},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.44078707695007324},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3844435214996338},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3474026322364807},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32349759340286255},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1815212070941925},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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":3,"locations":[{"id":"doi:10.1007/s00224-005-1265-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-005-1265-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"0025-5661","issn":["0025-5661","1432-4350","1433-0490"],"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":"Theory of Computing Systems","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00158299v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00158299","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theory of Computing Systems, 2006, 39 (1), pp.209--235. &#x27E8;10.1007/s00224-005-1265-8&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:air.unimi.it:2434/4784","is_oa":true,"landing_page_url":"http://hdl.handle.net/2434/4784","pdf_url":null,"source":{"id":"https://openalex.org/S4306400516","display_name":"Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189158943","host_organization_name":"University of Milan","host_organization_lineage":["https://openalex.org/I189158943"],"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":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:air.unimi.it:2434/4784","is_oa":true,"landing_page_url":"http://hdl.handle.net/2434/4784","pdf_url":null,"source":{"id":"https://openalex.org/S4306400516","display_name":"Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189158943","host_organization_name":"University of Milan","host_organization_lineage":["https://openalex.org/I189158943"],"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":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W72508915","https://openalex.org/W191775444","https://openalex.org/W585175573","https://openalex.org/W1506437980","https://openalex.org/W1578332044","https://openalex.org/W1600463518","https://openalex.org/W1607161872","https://openalex.org/W1997881370","https://openalex.org/W2015569722","https://openalex.org/W2017306457","https://openalex.org/W2030139351","https://openalex.org/W2049481601","https://openalex.org/W2060365990","https://openalex.org/W2072102045","https://openalex.org/W2079133396","https://openalex.org/W2094482767","https://openalex.org/W2105672294","https://openalex.org/W2109973210","https://openalex.org/W2141580699","https://openalex.org/W2164211169","https://openalex.org/W2165469059","https://openalex.org/W2326496616","https://openalex.org/W2911641212","https://openalex.org/W2912570624","https://openalex.org/W4379371327"],"related_works":["https://openalex.org/W4231167465","https://openalex.org/W4246456327","https://openalex.org/W1999045233","https://openalex.org/W2299016414","https://openalex.org/W1908930887","https://openalex.org/W1825355621","https://openalex.org/W1890075812","https://openalex.org/W131037327","https://openalex.org/W4251533179","https://openalex.org/W2044685772"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2016-06-24T00:00:00"}
