{"id":"https://openalex.org/W1501660709","doi":"https://doi.org/10.1007/11839132_15","title":"The Number of Orbits of Periodic Box-Ball Systems","display_name":"The Number of Orbits of Periodic Box-Ball Systems","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1501660709","doi":"https://doi.org/10.1007/11839132_15","mag":"1501660709"},"language":"en","primary_location":{"id":"doi:10.1007/11839132_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11839132_15","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":"conference-paper","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/A5073833798","display_name":"Akihiro Mikoda","orcid":null},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Akihiro Mikoda","raw_affiliation_strings":["Graduate School of Mathematics, Kyushu University, Japan","Graduate School of Mathematics, Kyushu University, Japan#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Mathematics, Kyushu University, Japan","institution_ids":["https://openalex.org/I135598925"]},{"raw_affiliation_string":"Graduate School of Mathematics, Kyushu University, Japan#TAB#","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111815006","display_name":"Shuichi Inokuchi","orcid":null},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shuichi Inokuchi","raw_affiliation_strings":["Faculty of Mathematics, Kyushu University, Japan","Faculty of Mathematics,Kyushu University,Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Kyushu University, Japan","institution_ids":["https://openalex.org/I135598925"]},{"raw_affiliation_string":"Faculty of Mathematics,Kyushu University,Japan","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054312457","display_name":"Yoshihiro Mizoguchi","orcid":null},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yoshihiro Mizoguchi","raw_affiliation_strings":["Faculty of Mathematics, Kyushu University, Japan","Faculty of Mathematics,Kyushu University,Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Kyushu University, Japan","institution_ids":["https://openalex.org/I135598925"]},{"raw_affiliation_string":"Faculty of Mathematics,Kyushu University,Japan","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114078849","display_name":"Mitsuhiko Fujio","orcid":null},"institutions":[{"id":"https://openalex.org/I207014233","display_name":"Kyushu Institute of Technology","ror":"https://ror.org/02278tr80","country_code":"JP","type":"education","lineage":["https://openalex.org/I207014233"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Mitsuhiko Fujio","raw_affiliation_strings":["Department of Systems Innovation and Informatics, Kyushu Institute of Technology, Japan","Department of Systems Innovation and Informatics, Kyushu Institute of Technology, Japan#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Systems Innovation and Informatics, Kyushu Institute of Technology, Japan","institution_ids":["https://openalex.org/I207014233"]},{"raw_affiliation_string":"Department of Systems Innovation and Informatics, Kyushu Institute of Technology, Japan#TAB#","institution_ids":["https://openalex.org/I207014233"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.2944,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.40939597,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"181","last_page":"194"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9998999834060669,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9998999834060669,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9927999973297119,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9876000285148621,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cellular-automaton","display_name":"Cellular automaton","score":0.8097254037857056},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.583702564239502},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.5371080040931702},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5352974534034729},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.4153668284416199},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4148259162902832},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28864938020706177},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23279011249542236},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18465033173561096}],"concepts":[{"id":"https://openalex.org/C35527583","wikidata":"https://www.wikidata.org/wiki/Q189156","display_name":"Cellular automaton","level":2,"score":0.8097254037857056},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.583702564239502},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.5371080040931702},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5352974534034729},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.4153668284416199},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4148259162902832},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28864938020706177},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23279011249542236},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18465033173561096}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11839132_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11839132_15","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W2010905651","https://openalex.org/W2016811204","https://openalex.org/W2024248067","https://openalex.org/W2061996794","https://openalex.org/W2064871200","https://openalex.org/W2067107934","https://openalex.org/W2082149284","https://openalex.org/W2082889404","https://openalex.org/W3100263528"],"related_works":["https://openalex.org/W2164619678","https://openalex.org/W2113544496","https://openalex.org/W1669105318","https://openalex.org/W2360313292","https://openalex.org/W2067777412","https://openalex.org/W2359527201","https://openalex.org/W2353714615","https://openalex.org/W3091867061","https://openalex.org/W2370307662","https://openalex.org/W9202957"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}