{"id":"https://openalex.org/W2049518999","doi":"https://doi.org/10.1142/s0218127409024591","title":"MIXING PROPERTY AND ENTROPY CONJUGACY OF \u2124<sup>2</sup> SUBSHIFT OF FINITE TYPE: A CASE STUDY","display_name":"MIXING PROPERTY AND ENTROPY CONJUGACY OF \u2124<sup>2</sup> SUBSHIFT OF FINITE TYPE: A CASE STUDY","publication_year":2009,"publication_date":"2009-09-01","ids":{"openalex":"https://openalex.org/W2049518999","doi":"https://doi.org/10.1142/s0218127409024591","mag":"2049518999"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127409024591","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409024591","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},"type":"article","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/A5022934610","display_name":"Jung\u2010Chao Ban","orcid":"https://orcid.org/0000-0002-4920-6945"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]},{"id":"https://openalex.org/I33096239","display_name":"National Dong Hwa University","ror":"https://ror.org/00mng9617","country_code":"TW","type":"education","lineage":["https://openalex.org/I33096239"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"JUNG-CHAO BAN","raw_affiliation_strings":["Department of Mathematics, National Hualien University of Education, Hualien 97063, Taiwan","Taida Institute for Mathematical Sciences, National Taiwan University, Taipei 10617, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Hualien University of Education, Hualien 97063, Taiwan","institution_ids":["https://openalex.org/I33096239"]},{"raw_affiliation_string":"Taida Institute for Mathematical Sciences, National Taiwan University, Taipei 10617, Taiwan","institution_ids":["https://openalex.org/I16733864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103761836","display_name":"Szu\u2010Yu Lin","orcid":null},"institutions":[{"id":"https://openalex.org/I33096239","display_name":"National Dong Hwa University","ror":"https://ror.org/00mng9617","country_code":"TW","type":"education","lineage":["https://openalex.org/I33096239"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"SZU-YU LIN","raw_affiliation_strings":["Department of Mathematics, National Hualien University of Education, Hualien 97063, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Hualien University of Education, Hualien 97063, Taiwan","institution_ids":["https://openalex.org/I33096239"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042519428","display_name":"Yin-Heng Lin","orcid":null},"institutions":[{"id":"https://openalex.org/I22265921","display_name":"National Central University","ror":"https://ror.org/00944ve71","country_code":"TW","type":"education","lineage":["https://openalex.org/I22265921"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"YIN-HENG LIN","raw_affiliation_strings":["Department of Mathematics, National Central University, Chung-Li 32054, Taiwan","Department of Mathematics, National Central University, Chung-Li, 32054, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Central University, Chung-Li 32054, Taiwan","institution_ids":["https://openalex.org/I22265921"]},{"raw_affiliation_string":"Department of Mathematics, National Central University, Chung-Li, 32054, Taiwan","institution_ids":["https://openalex.org/I22265921"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.11956178,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"19","issue":"09","first_page":"2979","last_page":"2991"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9993000030517578,"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":0.9993000030517578,"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":0.998199999332428,"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/T11567","display_name":"semigroups and automata theory","score":0.9810000061988831,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conjugacy-class","display_name":"Conjugacy class","score":0.9306641817092896},{"id":"https://openalex.org/keywords/subshift-of-finite-type","display_name":"Subshift of finite type","score":0.7849594354629517},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7154166102409363},{"id":"https://openalex.org/keywords/mixing","display_name":"Mixing (physics)","score":0.6720545291900635},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6050310134887695},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5897179841995239},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5645915865898132},{"id":"https://openalex.org/keywords/conjugate","display_name":"Conjugate","score":0.554073691368103},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3559001684188843},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3390887975692749},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18444550037384033},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.10897567868232727},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07881271839141846}],"concepts":[{"id":"https://openalex.org/C87945829","wikidata":"https://www.wikidata.org/wiki/Q1353233","display_name":"Conjugacy class","level":2,"score":0.9306641817092896},{"id":"https://openalex.org/C105932330","wikidata":"https://www.wikidata.org/wiki/Q7631990","display_name":"Subshift of finite type","level":2,"score":0.7849594354629517},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7154166102409363},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.6720545291900635},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6050310134887695},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5897179841995239},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5645915865898132},{"id":"https://openalex.org/C197336794","wikidata":"https://www.wikidata.org/wiki/Q5161150","display_name":"Conjugate","level":2,"score":0.554073691368103},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3559001684188843},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3390887975692749},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18444550037384033},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.10897567868232727},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07881271839141846},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127409024591","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127409024591","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1965855349","https://openalex.org/W1976792869","https://openalex.org/W1993693726","https://openalex.org/W1995082460","https://openalex.org/W2024691179","https://openalex.org/W2056717940","https://openalex.org/W2061161772","https://openalex.org/W2066926166","https://openalex.org/W2074670256","https://openalex.org/W2108378218","https://openalex.org/W2109384700","https://openalex.org/W2151162785","https://openalex.org/W2160121923","https://openalex.org/W2560896015"],"related_works":["https://openalex.org/W2143004018","https://openalex.org/W1746507502","https://openalex.org/W1966743441","https://openalex.org/W2952093284","https://openalex.org/W2952853222","https://openalex.org/W2325428140","https://openalex.org/W2049518999","https://openalex.org/W2108378218","https://openalex.org/W2293972507","https://openalex.org/W2963096440"],"abstract_inverted_index":{"In":[0],"the":[1,3,23,28],"paper,":[2],"mixing":[4,29],"property":[5,24,30,47],"of":[6,10,25,35,59],"\u2124":[7],"2":[8],"subshift":[9],"finite":[11],"type":[12],"(SFT)":[13],"is":[14,31],"studied,":[15],"some":[16],"checkable":[17],"conditions":[18],"are":[19,67],"provided":[20],"to":[21,40],"examine":[22],"mixing.":[26],"Once":[27],"checked,":[32],"a":[33],"class":[34],"examples":[36],"can":[37],"be":[38],"found":[39],"show":[41],"it":[42],"possesses":[43],"an":[44,57],"entropy":[45,68],"conjugacy":[46],"proposed":[48],"in":[49],"[Quas":[50],"&amp;":[51],"Trow,":[52],"2000].":[53],"Finally,":[54],"we":[55],"construct":[56],"example":[58],"two":[60],"shift":[61],"spaces":[62],"X":[63],"and":[64],"Y":[65],"that":[66],"conjugate":[69],"but":[70],"not":[71],"conjugate.":[72]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
