{"id":"https://openalex.org/W3099026996","doi":"https://doi.org/10.1080/00029890.2018.1401875","title":"Entropy of Subordinate Shift Spaces","display_name":"Entropy of Subordinate Shift Spaces","publication_year":2018,"publication_date":"2018-01-30","ids":{"openalex":"https://openalex.org/W3099026996","doi":"https://doi.org/10.1080/00029890.2018.1401875","mag":"3099026996"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2018.1401875","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2018.1401875","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1401.5969","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077748336","display_name":"Marcin Kulczycki","orcid":"https://orcid.org/0000-0001-8530-8861"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]},{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Marcin Kulczycki","raw_affiliation_strings":["Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University in Krak\u00f3w, ul. \u0141ojasiewicza 6, 30-348 Krak\u00f3w, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University in Krak\u00f3w, ul. \u0141ojasiewicza 6, 30-348 Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746","https://openalex.org/I4210137370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059220472","display_name":"Dominik Kwietniak","orcid":"https://orcid.org/0000-0002-7794-2835"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]},{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Dominik Kwietniak","raw_affiliation_strings":["Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University in Krak\u00f3w, ul. \u0141ojasiewicza 6, 30-348 Krak\u00f3w, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University in Krak\u00f3w, ul. \u0141ojasiewicza 6, 30-348 Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746","https://openalex.org/I4210137370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019927720","display_name":"Jian Li","orcid":"https://orcid.org/0000-0002-8724-3050"},"institutions":[{"id":"https://openalex.org/I32574673","display_name":"Shantou University","ror":"https://ror.org/01a099706","country_code":"CN","type":"education","lineage":["https://openalex.org/I32574673"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Li","raw_affiliation_strings":["Department of Mathematics, Shantou University, Shantou, Guangdong 515063, P.R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shantou University, Shantou, Guangdong 515063, P.R. China","institution_ids":["https://openalex.org/I32574673"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5077748336"],"corresponding_institution_ids":["https://openalex.org/I126596746","https://openalex.org/I4210137370"],"apc_list":null,"apc_paid":null,"fwci":1.1078,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.76967983,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"125","issue":"2","first_page":"141","last_page":"148"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9955999851226807,"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"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9955999851226807,"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/T12812","display_name":"Meromorphic and Entire Functions","score":0.9864000082015991,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.982699990272522,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.5429984331130981},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.44162315130233765},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37061795592308044},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16707977652549744},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.04612523317337036}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5429984331130981},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.44162315130233765},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37061795592308044},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16707977652549744},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.04612523317337036}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/00029890.2018.1401875","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2018.1401875","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1401.5969","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1401.5969","pdf_url":"https://arxiv.org/pdf/1401.5969","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:ruj.uj.edu.pl:item/49941","is_oa":true,"landing_page_url":"https://ruj.uj.edu.pl/xmlui/handle/item/49941","pdf_url":null,"source":{"id":"https://openalex.org/S4306400316","display_name":"Homo Politicus (Academy of Humanities and Economics in Lodz)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"artyku\u0142 w czasopi\u015bmie"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1401.5969","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1401.5969","pdf_url":"https://arxiv.org/pdf/1401.5969","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.6200000047683716}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W566109589","https://openalex.org/W1514094136","https://openalex.org/W1565611252","https://openalex.org/W1971361630","https://openalex.org/W1971400678","https://openalex.org/W1971662168","https://openalex.org/W1975322101","https://openalex.org/W2015558828","https://openalex.org/W2020913456","https://openalex.org/W2023295354","https://openalex.org/W2134654202","https://openalex.org/W2949295483","https://openalex.org/W2951444921","https://openalex.org/W2963516387","https://openalex.org/W3152478022","https://openalex.org/W4206252072","https://openalex.org/W4212873484","https://openalex.org/W4213022453","https://openalex.org/W4231009334","https://openalex.org/W4294830154"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2,28],"new":[3],"family":[4],"of":[5],"shift":[6,29],"spaces\u2014the":[7],"subordinate":[8,11],"shifts.":[9],"Using":[10],"shifts,":[12],"we":[13],"prove":[14],"in":[15],"an":[16],"elementary":[17],"way":[18],"that":[19],"for":[20],"every":[21],"nonnegative":[22],"real":[23],"number":[24],"t":[25],"there":[26],"is":[27],"space":[30],"with":[31],"entropy":[32],"t.":[33]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-28T08:17:26.163206","created_date":"2025-10-10T00:00:00"}
