{"id":"https://openalex.org/W2164189437","doi":"https://doi.org/10.1016/s0304-3975(96)00025-4","title":"On topological dynamics of Turing machines","display_name":"On topological dynamics of Turing machines","publication_year":1997,"publication_date":"1997-03-01","ids":{"openalex":"https://openalex.org/W2164189437","doi":"https://doi.org/10.1016/s0304-3975(96)00025-4","mag":"2164189437"},"language":"en","primary_location":{"id":"doi:10.1016/s0304-3975(96)00025-4","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0304-3975(96)00025-4","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0304397596000254/pdf","source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0304397596000254/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037929944","display_name":"Petr K\u016frka","orcid":"https://orcid.org/0000-0002-1417-041X"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Petr K\u016frka","raw_affiliation_strings":["Faculty of Mathematics and Physics, Charles University in Prague, Malostransk\u00e9 n\u00e1m\u011bst\u00ed 25, 118 00 Praha 1, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Physics, Charles University in Prague, Malostransk\u00e9 n\u00e1m\u011bst\u00ed 25, 118 00 Praha 1, Czech Republic","institution_ids":["https://openalex.org/I21250087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5037929944"],"corresponding_institution_ids":["https://openalex.org/I21250087"],"apc_list":{"value":2600,"currency":"USD","value_usd":2600},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":62,"citation_normalized_percentile":{"value":0.28929344,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"174","issue":"1-2","first_page":"203","last_page":"216"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9997000098228455,"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":0.9997000098228455,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9994000196456909,"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/T11567","display_name":"semigroups and automata theory","score":0.9733999967575073,"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/conjecture","display_name":"Conjecture","score":0.68707275390625},{"id":"https://openalex.org/keywords/topological-entropy","display_name":"Topological entropy","score":0.6318864822387695},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.6268106698989868},{"id":"https://openalex.org/keywords/turing-machine","display_name":"Turing machine","score":0.591424822807312},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5912957787513733},{"id":"https://openalex.org/keywords/expansive","display_name":"Expansive","score":0.5604467391967773},{"id":"https://openalex.org/keywords/time-hierarchy-theorem","display_name":"Time hierarchy theorem","score":0.5440428256988525},{"id":"https://openalex.org/keywords/universal-turing-machine","display_name":"Universal Turing machine","score":0.5316002368927002},{"id":"https://openalex.org/keywords/turing","display_name":"Turing","score":0.5148955583572388},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3924734890460968},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37185990810394287},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34788990020751953},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3322122395038605},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20335304737091064},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0961000919342041}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.68707275390625},{"id":"https://openalex.org/C2780350623","wikidata":"https://www.wikidata.org/wiki/Q3055355","display_name":"Topological entropy","level":2,"score":0.6318864822387695},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.6268106698989868},{"id":"https://openalex.org/C29248071","wikidata":"https://www.wikidata.org/wiki/Q163310","display_name":"Turing machine","level":3,"score":0.591424822807312},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5912957787513733},{"id":"https://openalex.org/C2780502288","wikidata":"https://www.wikidata.org/wiki/Q28838156","display_name":"Expansive","level":3,"score":0.5604467391967773},{"id":"https://openalex.org/C48415503","wikidata":"https://www.wikidata.org/wiki/Q5251122","display_name":"Time hierarchy theorem","level":5,"score":0.5440428256988525},{"id":"https://openalex.org/C131671149","wikidata":"https://www.wikidata.org/wiki/Q2703890","display_name":"Universal Turing machine","level":4,"score":0.5316002368927002},{"id":"https://openalex.org/C9870796","wikidata":"https://www.wikidata.org/wiki/Q490481","display_name":"Turing","level":2,"score":0.5148955583572388},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3924734890460968},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37185990810394287},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34788990020751953},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3322122395038605},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20335304737091064},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0961000919342041},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.0},{"id":"https://openalex.org/C30407753","wikidata":"https://www.wikidata.org/wiki/Q186191","display_name":"Compressive strength","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0304-3975(96)00025-4","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0304-3975(96)00025-4","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0304397596000254/pdf","source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/s0304-3975(96)00025-4","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0304-3975(96)00025-4","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0304397596000254/pdf","source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309755","display_name":"Univerzita Karlova v Praze","ror":"https://ror.org/024d6js02"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2164189437.pdf","grobid_xml":"https://content.openalex.org/works/W2164189437.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1562895111","https://openalex.org/W1974584038","https://openalex.org/W1980118174","https://openalex.org/W2032010938","https://openalex.org/W2065597356","https://openalex.org/W2084699771","https://openalex.org/W2131486716","https://openalex.org/W2136233620","https://openalex.org/W2176805112","https://openalex.org/W2202870442","https://openalex.org/W2482150833","https://openalex.org/W2494489586","https://openalex.org/W2574056632","https://openalex.org/W4376453183","https://openalex.org/W6644021860","https://openalex.org/W6685523722"],"related_works":["https://openalex.org/W2156308118","https://openalex.org/W1526857708","https://openalex.org/W3029396041","https://openalex.org/W2341138125","https://openalex.org/W1483817375","https://openalex.org/W1646814793","https://openalex.org/W4254404873","https://openalex.org/W4312201671","https://openalex.org/W1969470083","https://openalex.org/W192442233"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-12T21:12:35.861297","created_date":"2025-10-10T00:00:00"}