{"id":"https://openalex.org/W3012388601","doi":"https://doi.org/10.1007/978-3-030-43120-4_23","title":"Second Order Balance Property on\u00a0Christoffel Words","display_name":"Second Order Balance Property on\u00a0Christoffel Words","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3012388601","doi":"https://doi.org/10.1007/978-3-030-43120-4_23","mag":"3012388601"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-43120-4_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-43120-4_23","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.archives-ouvertes.fr/hal-02433984","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033136511","display_name":"Lama Tarsissi","orcid":"https://orcid.org/0000-0002-1932-4676"},"institutions":[{"id":"https://openalex.org/I4210144844","display_name":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es","ror":"https://ror.org/0581g8849","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I197681013","https://openalex.org/I4210141950","https://openalex.org/I4210144844","https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Lama Tarsissi","raw_affiliation_strings":["LAMA, Universit\u00e9 Gustave Eiffel, CNRS, 77454, Marne-la-Vall\u00e9e, France","LIGM, Universit\u00e9 Gustave Eiffel, CNRS, ESIEE Paris, 77454, Marne-la-Vall\u00e9e, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAMA, Universit\u00e9 Gustave Eiffel, CNRS, 77454, Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I4210144844","https://openalex.org/I1294671590","https://openalex.org/I4210154111"]},{"raw_affiliation_string":"LIGM, Universit\u00e9 Gustave Eiffel, CNRS, ESIEE Paris, 77454, Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I4210152518","https://openalex.org/I1294671590","https://openalex.org/I4210154111"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033058854","display_name":"Laurent Vuillon","orcid":"https://orcid.org/0000-0002-3707-659X"},"institutions":[{"id":"https://openalex.org/I70900168","display_name":"Universit\u00e9 Savoie Mont Blanc","ror":"https://ror.org/04gqg1a07","country_code":"FR","type":"education","lineage":["https://openalex.org/I70900168"]},{"id":"https://openalex.org/I4210144844","display_name":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es","ror":"https://ror.org/0581g8849","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I197681013","https://openalex.org/I4210141950","https://openalex.org/I4210144844","https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Laurent Vuillon","raw_affiliation_strings":["LAMA, Univ. Grenoble Alpes, Univ. Savoie Mont Blanc, CNRS, 73000, Chamb\u00e9ry, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAMA, Univ. Grenoble Alpes, Univ. Savoie Mont Blanc, CNRS, 73000, Chamb\u00e9ry, France","institution_ids":["https://openalex.org/I70900168","https://openalex.org/I4210144844","https://openalex.org/I1294671590","https://openalex.org/I899635006"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5033136511"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210144844","https://openalex.org/I4210152518","https://openalex.org/I4210154111"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.6079,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.6487941,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"295","last_page":"312"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":1.0,"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":1.0,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10181","display_name":"Natural Language Processing Techniques","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/christoffel-symbols","display_name":"Christoffel symbols","score":0.9277461767196655},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6058589220046997},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.5799615383148193},{"id":"https://openalex.org/keywords/balance","display_name":"Balance (ability)","score":0.5664886236190796},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5354533195495605},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5029861330986023},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.484793096780777},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4447079598903656},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4272046685218811},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41881227493286133},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2646162509918213},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.06876781582832336},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.060505419969558716}],"concepts":[{"id":"https://openalex.org/C77850982","wikidata":"https://www.wikidata.org/wiki/Q847816","display_name":"Christoffel symbols","level":2,"score":0.9277461767196655},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6058589220046997},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.5799615383148193},{"id":"https://openalex.org/C168031717","wikidata":"https://www.wikidata.org/wiki/Q1530280","display_name":"Balance (ability)","level":2,"score":0.5664886236190796},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5354533195495605},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5029861330986023},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.484793096780777},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4447079598903656},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4272046685218811},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41881227493286133},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2646162509918213},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.06876781582832336},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.060505419969558716},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C99508421","wikidata":"https://www.wikidata.org/wiki/Q2678675","display_name":"Physical medicine and rehabilitation","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-030-43120-4_23","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-43120-4_23","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-02433984v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02433984","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":"Mathematical Aspects of Computer and Information Sciences","raw_type":"info:eu-repo/semantics/bookPart"},{"id":"pmh:oai:HAL:hal-02433984v2","is_oa":true,"landing_page_url":"https://hal.science/hal-02433984","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":"Daniel Slamanig; Elias Tsigaridas; Zafeirakis Zafeirakopoulos. Mathematical Aspects of Computer and Information Sciences. 8th International Conference, MACIS 2019, Gebze, Turkey, November 13\u201315, 2019, Revised Selected Papers, 11989, Springer, pp.295-312, 2020, Lecture Notes in Computer Science, 978-3-030-43119-8. ⟨10.1007/978-3-030-43120-4_23⟩","raw_type":"info:eu-repo/semantics/bookPart"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-02433984v1","is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-02433984","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":"Mathematical Aspects of Computer and Information Sciences","raw_type":"info:eu-repo/semantics/bookPart"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.6600000262260437,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W76401133","https://openalex.org/W584208200","https://openalex.org/W1581077724","https://openalex.org/W1586417893","https://openalex.org/W1971237591","https://openalex.org/W1974623598","https://openalex.org/W1994716333","https://openalex.org/W2005868985","https://openalex.org/W2006661113","https://openalex.org/W2008873542","https://openalex.org/W2032510966","https://openalex.org/W2061205241","https://openalex.org/W2061491211","https://openalex.org/W2067989196","https://openalex.org/W2079612567","https://openalex.org/W2086715618","https://openalex.org/W2088339746","https://openalex.org/W2089806927","https://openalex.org/W2090062988","https://openalex.org/W2117973853","https://openalex.org/W2169887597","https://openalex.org/W2317201179","https://openalex.org/W2529747660","https://openalex.org/W2939756228","https://openalex.org/W3142091022","https://openalex.org/W4205168884","https://openalex.org/W4243313603","https://openalex.org/W4249400551","https://openalex.org/W4300566086"],"related_works":["https://openalex.org/W4254911055","https://openalex.org/W3091666534","https://openalex.org/W2005868985","https://openalex.org/W2951205465","https://openalex.org/W3021413549","https://openalex.org/W4242038214","https://openalex.org/W4301698192","https://openalex.org/W2258884864","https://openalex.org/W2952682824","https://openalex.org/W4300189291"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}