{"id":"https://openalex.org/W1601488360","doi":"https://doi.org/10.1007/11786986_47","title":"Finite-State Dimension and Real Arithmetic","display_name":"Finite-State Dimension and Real Arithmetic","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1601488360","doi":"https://doi.org/10.1007/11786986_47","mag":"1601488360"},"language":"en","primary_location":{"id":"doi:10.1007/11786986_47","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11786986_47","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":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/cs/0602032","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061641572","display_name":"David Doty","orcid":"https://orcid.org/0000-0002-3922-172X"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"David Doty","raw_affiliation_strings":["Department of Computer Science, Iowa State University, Ames, IA, 50011, USA","Department of Computer Science, Iowa State University, Ames, IA 50011, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Iowa State University, Ames, IA, 50011, USA","institution_ids":["https://openalex.org/I173911158"]},{"raw_affiliation_string":"Department of Computer Science, Iowa State University, Ames, IA 50011, USA#TAB#","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064796448","display_name":"Jack H. Lutz","orcid":"https://orcid.org/0000-0003-1004-3891"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jack H. Lutz","raw_affiliation_strings":["Department of Computer Science, Iowa State University, Ames, IA, 50011, USA","Department of Computer Science, Iowa State University, Ames, IA 50011, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Iowa State University, Ames, IA, 50011, USA","institution_ids":["https://openalex.org/I173911158"]},{"raw_affiliation_string":"Department of Computer Science, Iowa State University, Ames, IA 50011, USA#TAB#","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047441815","display_name":"Satyadev Nandakumar","orcid":"https://orcid.org/0000-0002-0214-0598"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Satyadev Nandakumar","raw_affiliation_strings":["Department of Computer Science, Iowa State University, Ames, IA, 50011, USA","Department of Computer Science, Iowa State University, Ames, IA 50011, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Iowa State University, Ames, IA, 50011, USA","institution_ids":["https://openalex.org/I173911158"]},{"raw_affiliation_string":"Department of Computer Science, Iowa State University, Ames, IA 50011, USA#TAB#","institution_ids":["https://openalex.org/I173911158"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5061641572"],"corresponding_institution_ids":["https://openalex.org/I173911158"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.067364,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"205","issue":"11","first_page":"1640","last_page":"1651"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9997000098228455,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9997000098228455,"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":0.9937000274658203,"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":0.9879000186920166,"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/mathematics","display_name":"Mathematics","score":0.7986556887626648},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6700522899627686},{"id":"https://openalex.org/keywords/real-number","display_name":"Real number","score":0.5050130486488342},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5019559860229492},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.49577006697654724},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48062628507614136},{"id":"https://openalex.org/keywords/rational-number","display_name":"Rational number","score":0.4663723111152649},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.46513786911964417},{"id":"https://openalex.org/keywords/rational-point","display_name":"Rational point","score":0.4288896918296814},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.42757922410964966},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3609856367111206},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3576720356941223},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1257653832435608},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0703558623790741},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06691274046897888}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7986556887626648},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6700522899627686},{"id":"https://openalex.org/C94020503","wikidata":"https://www.wikidata.org/wiki/Q12916","display_name":"Real number","level":2,"score":0.5050130486488342},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5019559860229492},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.49577006697654724},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48062628507614136},{"id":"https://openalex.org/C46875033","wikidata":"https://www.wikidata.org/wiki/Q1244890","display_name":"Rational number","level":2,"score":0.4663723111152649},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.46513786911964417},{"id":"https://openalex.org/C156330621","wikidata":"https://www.wikidata.org/wiki/Q3393476","display_name":"Rational point","level":3,"score":0.4288896918296814},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.42757922410964966},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3609856367111206},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3576720356941223},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1257653832435608},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0703558623790741},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06691274046897888},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/11786986_47","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11786986_47","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"},{"id":"doi:10.1016/j.ic.2007.05.003","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.ic.2007.05.003","pdf_url":null,"source":{"id":"https://openalex.org/S59933527","display_name":"Information and Computation","issn_l":"0890-5401","issn":["0890-5401","1090-2651"],"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":"Information and Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:cs/0602032","is_oa":true,"landing_page_url":"http://arxiv.org/abs/cs/0602032","pdf_url":"https://arxiv.org/pdf/cs/0602032","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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:CiteSeerX.psu:10.1.1.121.4410","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.121.4410","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.iastate.edu/~ddoty/papers/fsdra-icalp.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.132.9345","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.132.9345","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.iastate.edu/~ddoty/papers/fsdra.ps","raw_type":"text"},{"id":"doi:10.48550/arxiv.cs/0602032","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.cs/0602032","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"mag:1601488360","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/journals/eccc/eccc13.html#DotyLN06","pdf_url":null,"source":{"id":"https://openalex.org/S11189987","display_name":"Electronic colloquium on computational complexity","issn_l":"1433-8092","issn":["1433-8092"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Electronic colloquium on computational complexity","raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:cs/0602032","is_oa":true,"landing_page_url":"http://arxiv.org/abs/cs/0602032","pdf_url":"https://arxiv.org/pdf/cs/0602032","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W349676325","https://openalex.org/W566109589","https://openalex.org/W589198329","https://openalex.org/W753951602","https://openalex.org/W1486790731","https://openalex.org/W1513702114","https://openalex.org/W1595653788","https://openalex.org/W1607458528","https://openalex.org/W1664039392","https://openalex.org/W1964013156","https://openalex.org/W1968212782","https://openalex.org/W1985086503","https://openalex.org/W1985345923","https://openalex.org/W2006309149","https://openalex.org/W2013665528","https://openalex.org/W2014106834","https://openalex.org/W2017261203","https://openalex.org/W2018302441","https://openalex.org/W2032121576","https://openalex.org/W2043927415","https://openalex.org/W2045535200","https://openalex.org/W2046937767","https://openalex.org/W2055910828","https://openalex.org/W2057621739","https://openalex.org/W2082201286","https://openalex.org/W2082647537","https://openalex.org/W2118349518","https://openalex.org/W2159540207","https://openalex.org/W2582697902","https://openalex.org/W2798707604","https://openalex.org/W4230960895","https://openalex.org/W4237711979","https://openalex.org/W4239648988","https://openalex.org/W4254788568","https://openalex.org/W4255333822","https://openalex.org/W6642122428"],"related_works":["https://openalex.org/W3100134283","https://openalex.org/W1595850104","https://openalex.org/W3124045804","https://openalex.org/W3185291499","https://openalex.org/W2907467900","https://openalex.org/W2809024290","https://openalex.org/W2082306434","https://openalex.org/W2963562046","https://openalex.org/W2964004910","https://openalex.org/W1488161544","https://openalex.org/W3105535124","https://openalex.org/W2404994878","https://openalex.org/W3103426939","https://openalex.org/W2067194335","https://openalex.org/W2314857747","https://openalex.org/W130153682","https://openalex.org/W2310226319","https://openalex.org/W3210194680","https://openalex.org/W3193812649","https://openalex.org/W2967472918"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}