{"id":"https://openalex.org/W3043085417","doi":"https://doi.org/10.1007/978-3-030-61739-4_9","title":"The Collatz Process Embeds a Base Conversion Algorithm","display_name":"The Collatz Process Embeds a Base Conversion Algorithm","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3043085417","doi":"https://doi.org/10.1007/978-3-030-61739-4_9","mag":"3043085417"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-61739-4_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-61739-4_9","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2007.06979","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027140762","display_name":"Tristan St\u00e9rin","orcid":"https://orcid.org/0000-0002-2649-3718"},"institutions":[{"id":"https://openalex.org/I157286207","display_name":"National University of Ireland, Maynooth","ror":"https://ror.org/048nfjm95","country_code":"IE","type":"education","lineage":["https://openalex.org/I157286207"]}],"countries":["IE"],"is_corresponding":true,"raw_author_name":"Tristan St\u00e9rin","raw_affiliation_strings":["Hamilton Institute, Department of Computer Science, Maynooth University, Maynooth, Ireland"],"affiliations":[{"raw_affiliation_string":"Hamilton Institute, Department of Computer Science, Maynooth University, Maynooth, Ireland","institution_ids":["https://openalex.org/I157286207"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029275026","display_name":"Damien Woods","orcid":"https://orcid.org/0000-0002-0638-2690"},"institutions":[{"id":"https://openalex.org/I157286207","display_name":"National University of Ireland, Maynooth","ror":"https://ror.org/048nfjm95","country_code":"IE","type":"education","lineage":["https://openalex.org/I157286207"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Damien Woods","raw_affiliation_strings":["Hamilton Institute, Department of Computer Science, Maynooth University, Maynooth, Ireland"],"affiliations":[{"raw_affiliation_string":"Hamilton Institute, Department of Computer Science, Maynooth University, Maynooth, Ireland","institution_ids":["https://openalex.org/I157286207"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027140762"],"corresponding_institution_ids":["https://openalex.org/I157286207"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1564141,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"131","last_page":"147"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13720","display_name":"Benford\u2019s Law and Fraud Detection","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T13720","display_name":"Benford\u2019s Law and Fraud Detection","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9861000180244446,"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/T12357","display_name":"Digital Media Forensic Detection","score":0.954200029373169,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/collatz-conjecture","display_name":"Collatz conjecture","score":0.8509693145751953},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6457017660140991},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.608799397945404},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5613982081413269},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.544166088104248},{"id":"https://openalex.org/keywords/natural-number","display_name":"Natural number","score":0.5151585340499878},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5078874230384827},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5075961351394653},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4979238510131836},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4199390113353729},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.23531734943389893},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.2090100347995758}],"concepts":[{"id":"https://openalex.org/C128814272","wikidata":"https://www.wikidata.org/wiki/Q837314","display_name":"Collatz conjecture","level":3,"score":0.8509693145751953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6457017660140991},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.608799397945404},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5613982081413269},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.544166088104248},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.5151585340499878},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5078874230384827},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5075961351394653},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4979238510131836},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4199390113353729},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.23531734943389893},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2090100347995758},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/978-3-030-61739-4_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-61739-4_9","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":"pmh:oai:arXiv.org:2007.06979","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.06979","pdf_url":"https://arxiv.org/pdf/2007.06979","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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:mural.maynoothuniversity.ie:15714","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196372","display_name":"MURAL - Maynooth University Research Archive Library (National University of Ireland, Maynooth)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I157286207","host_organization_name":"National University of Ireland, Maynooth","host_organization_lineage":["https://openalex.org/I157286207"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"mag:3043085417","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/2007.06979","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2007.06979","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2007.06979","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2007.06979","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2007.06979","pdf_url":"https://arxiv.org/pdf/2007.06979","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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1931494","https://openalex.org/W43767022","https://openalex.org/W188597083","https://openalex.org/W567708786","https://openalex.org/W955504240","https://openalex.org/W1489267569","https://openalex.org/W1659236512","https://openalex.org/W1991903325","https://openalex.org/W2012140001","https://openalex.org/W2024091095","https://openalex.org/W2045583484","https://openalex.org/W2065597356","https://openalex.org/W2076882011","https://openalex.org/W2079207846","https://openalex.org/W2089218984","https://openalex.org/W2128110882","https://openalex.org/W2129722831","https://openalex.org/W2151214850","https://openalex.org/W2506960244","https://openalex.org/W2556588365","https://openalex.org/W2572372391","https://openalex.org/W2726776472","https://openalex.org/W2735435636","https://openalex.org/W2771956507","https://openalex.org/W2890985056","https://openalex.org/W2924454642","https://openalex.org/W2963314464","https://openalex.org/W3013971628","https://openalex.org/W3038064903","https://openalex.org/W3095461133"],"related_works":["https://openalex.org/W3095408166","https://openalex.org/W2978490715","https://openalex.org/W3176792490","https://openalex.org/W1832296079","https://openalex.org/W2059861247","https://openalex.org/W2103737357","https://openalex.org/W3133800261","https://openalex.org/W3036193953","https://openalex.org/W2963401517","https://openalex.org/W2157313018","https://openalex.org/W3103879793","https://openalex.org/W2973197960","https://openalex.org/W2042428691","https://openalex.org/W3110921455","https://openalex.org/W2951485032","https://openalex.org/W3100488283","https://openalex.org/W2588532775","https://openalex.org/W2885320505","https://openalex.org/W2150577938","https://openalex.org/W3146602196"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
