{"id":"https://openalex.org/W4254061945","doi":"https://doi.org/10.1017/s1079898600010672","title":"Algorithmic Randomness and Measures of Complexity","display_name":"Algorithmic Randomness and Measures of Complexity","publication_year":2013,"publication_date":"2013-09-01","ids":{"openalex":"https://openalex.org/W4254061945","doi":"https://doi.org/10.1017/s1079898600010672"},"language":"en","primary_location":{"id":"doi:10.1017/s1079898600010672","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s1079898600010672","pdf_url":null,"source":{"id":"https://openalex.org/S130801046","display_name":"Bulletin of Symbolic Logic","issn_l":"1079-8986","issn":["1079-8986","1943-5894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Bulletin of Symbolic Logic","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/A5071938003","display_name":"George Barmpalias","orcid":"https://orcid.org/0000-0002-9921-760X"},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"George Barmpalias","raw_affiliation_strings":["State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing 100190, P.O. BOX 8718, China E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing 100190, P.O. BOX 8718, China E-mail:","institution_ids":["https://openalex.org/I4210128818"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5071938003"],"corresponding_institution_ids":["https://openalex.org/I4210128818"],"apc_list":null,"apc_paid":null,"fwci":0.3724,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.71021287,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"19","issue":"3","first_page":"318","last_page":"350"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":1.0,"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":1.0,"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/T13720","display_name":"Benford\u2019s Law and Fraud Detection","score":0.9829000234603882,"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/T11567","display_name":"semigroups and automata theory","score":0.9782000184059143,"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/computability","display_name":"Computability","score":0.9030791521072388},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.8816184997558594},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.6308093070983887},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6116135120391846},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5458115339279175},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5035781264305115},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.43298426270484924},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4285874366760254},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.372974157333374},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3723917603492737},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3541235029697418},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.09922853112220764}],"concepts":[{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.9030791521072388},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.8816184997558594},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.6308093070983887},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6116135120391846},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5458115339279175},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5035781264305115},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.43298426270484924},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4285874366760254},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.372974157333374},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3723917603492737},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3541235029697418},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.09922853112220764},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s1079898600010672","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s1079898600010672","pdf_url":null,"source":{"id":"https://openalex.org/S130801046","display_name":"Bulletin of Symbolic Logic","issn_l":"1079-8986","issn":["1079-8986","1943-5894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Bulletin of Symbolic Logic","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":72,"referenced_works":["https://openalex.org/W10794601","https://openalex.org/W623765668","https://openalex.org/W993577733","https://openalex.org/W1574049752","https://openalex.org/W1579696469","https://openalex.org/W1967504445","https://openalex.org/W1967629533","https://openalex.org/W1968044640","https://openalex.org/W1976148933","https://openalex.org/W1978229737","https://openalex.org/W1989278477","https://openalex.org/W1997159225","https://openalex.org/W1997555168","https://openalex.org/W1997686864","https://openalex.org/W1998078201","https://openalex.org/W1999435051","https://openalex.org/W2004906655","https://openalex.org/W2006580730","https://openalex.org/W2007915800","https://openalex.org/W2014288728","https://openalex.org/W2019232231","https://openalex.org/W2019259942","https://openalex.org/W2020311636","https://openalex.org/W2023707737","https://openalex.org/W2026888287","https://openalex.org/W2032627084","https://openalex.org/W2034570600","https://openalex.org/W2034673847","https://openalex.org/W2035556343","https://openalex.org/W2037416374","https://openalex.org/W2038458144","https://openalex.org/W2040912355","https://openalex.org/W2046740277","https://openalex.org/W2049660564","https://openalex.org/W2052274014","https://openalex.org/W2058444173","https://openalex.org/W2067580807","https://openalex.org/W2069840355","https://openalex.org/W2070390550","https://openalex.org/W2070615365","https://openalex.org/W2071471193","https://openalex.org/W2072474105","https://openalex.org/W2081107054","https://openalex.org/W2084036268","https://openalex.org/W2087333392","https://openalex.org/W2087382793","https://openalex.org/W2089314015","https://openalex.org/W2090776193","https://openalex.org/W2097553438","https://openalex.org/W2104062136","https://openalex.org/W2104394421","https://openalex.org/W2110700919","https://openalex.org/W2110810047","https://openalex.org/W2118139375","https://openalex.org/W2135826414","https://openalex.org/W2137527449","https://openalex.org/W2153558687","https://openalex.org/W2159344545","https://openalex.org/W2161631645","https://openalex.org/W2162720511","https://openalex.org/W2164699156","https://openalex.org/W2488491595","https://openalex.org/W2499526401","https://openalex.org/W2502427080","https://openalex.org/W2724463085","https://openalex.org/W4210959615","https://openalex.org/W4213350211","https://openalex.org/W4230960895","https://openalex.org/W4232277851","https://openalex.org/W4234205087","https://openalex.org/W4246010551","https://openalex.org/W4291166496"],"related_works":["https://openalex.org/W3034924094","https://openalex.org/W3094954546","https://openalex.org/W2951103138","https://openalex.org/W4302764995","https://openalex.org/W1571617560","https://openalex.org/W4299568366","https://openalex.org/W2950344047","https://openalex.org/W2483853972","https://openalex.org/W3014725678","https://openalex.org/W2058853326"],"abstract_inverted_index":{"Abstract":[0],"We":[1,22],"survey":[2],"recent":[3],"advances":[4],"on":[5,17,24],"the":[6,30,38],"interface":[7],"between":[8],"computability":[9],"theory":[10],"and":[11,36,57,70],"algorithmic":[12,68],"randomness,":[13],"with":[14,62],"special":[15],"attention":[16],"measures":[18],"of":[19,34,40],"relative":[20],"complexity.":[21],"focus":[23],"(weak)":[25],"reducibilities":[26],"that":[27],"measure":[28],"(a)":[29],"initial":[31],"segment":[32],"complexity":[33],"reals":[35,41],"(b)":[37],"power":[39],"to":[42],"compress":[43],"strings,":[44],"when":[45],"they":[46],"are":[47,53,60],"used":[48],"as":[49],"oracles.":[50],"The":[51],"results":[52],"put":[54],"into":[55],"context":[56],"several":[58],"connections":[59],"made":[61],"various":[63],"central":[64],"issues":[65],"in":[66],"modern":[67],"randomness":[69],"computability.":[71]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}