{"id":"https://openalex.org/W1509661671","doi":"https://doi.org/10.1007/11779148_35","title":"Complexity of Degenerated Three Dimensional Billiard Words","display_name":"Complexity of Degenerated Three Dimensional Billiard Words","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1509661671","doi":"https://doi.org/10.1007/11779148_35","mag":"1509661671"},"language":"en","primary_location":{"id":"doi:10.1007/11779148_35","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11779148_35","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108475483","display_name":"Jean-Pierre Borel","orcid":null},"institutions":[{"id":"https://openalex.org/I65806277","display_name":"Universit\u00e9 de Limoges","ror":"https://ror.org/02cp04407","country_code":"FR","type":"education","lineage":["https://openalex.org/I65806277"]},{"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":"J. -P. Borel","raw_affiliation_strings":["XLim, UMR CNRS 6172, Universit\u00e9 de Limoges, 123 avenue Albert Thomas, F-87060 Cedex, Limoges, France"],"affiliations":[{"raw_affiliation_string":"XLim, UMR CNRS 6172, Universit\u00e9 de Limoges, 123 avenue Albert Thomas, F-87060 Cedex, Limoges, France","institution_ids":["https://openalex.org/I65806277","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5108475483"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I65806277"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.4184,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60112812,"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":"386","last_page":"396"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9988999962806702,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9980999827384949,"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/dynamical-billiards","display_name":"Dynamical billiards","score":0.9522786140441895},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7848085761070251},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.435712069272995},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.39669519662857056},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3429339528083801},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1509198248386383},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12197354435920715}],"concepts":[{"id":"https://openalex.org/C193605512","wikidata":"https://www.wikidata.org/wiki/Q2903467","display_name":"Dynamical billiards","level":2,"score":0.9522786140441895},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7848085761070251},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.435712069272995},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.39669519662857056},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3429339528083801},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1509198248386383},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12197354435920715}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11779148_35","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11779148_35","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W116429118","https://openalex.org/W1489341787","https://openalex.org/W1546637290","https://openalex.org/W1586417893","https://openalex.org/W1971237591","https://openalex.org/W1982970845","https://openalex.org/W1987374824","https://openalex.org/W2036769664","https://openalex.org/W2089093075","https://openalex.org/W2089806927","https://openalex.org/W2162697993","https://openalex.org/W2187202169","https://openalex.org/W2222296893","https://openalex.org/W2243895598","https://openalex.org/W2520278413","https://openalex.org/W2781145074","https://openalex.org/W3100640751","https://openalex.org/W4238159413"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2058697418","https://openalex.org/W1627627718","https://openalex.org/W3044371202","https://openalex.org/W4225685442","https://openalex.org/W4310285670","https://openalex.org/W2273579192","https://openalex.org/W2161552969","https://openalex.org/W2611989986"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
