{"id":"https://openalex.org/W2113081293","doi":"https://doi.org/10.1007/s00224-015-9632-6","title":"On Stability of Probability Laws with Respect to Small Violations of Algorithmic Randomness","display_name":"On Stability of Probability Laws with Respect to Small Violations of Algorithmic Randomness","publication_year":2015,"publication_date":"2015-04-23","ids":{"openalex":"https://openalex.org/W2113081293","doi":"https://doi.org/10.1007/s00224-015-9632-6","mag":"2113081293"},"language":"en","primary_location":{"id":"doi:10.1007/s00224-015-9632-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-015-9632-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","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/A5066730725","display_name":"Vladimir V. V\u2019yugin","orcid":"https://orcid.org/0000-0002-5336-206X"},"institutions":[{"id":"https://openalex.org/I118501908","display_name":"National Research University Higher School of Economics","ror":"https://ror.org/055f7t516","country_code":"RU","type":"education","lineage":["https://openalex.org/I118501908"]},{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210097085","https://openalex.org/I4210107660"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Vladimir V. V\u2019yugin","raw_affiliation_strings":["Institute for Information Transmission Problems, Moscow, Russia","National Research University Higher School of Economics, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Institute for Information Transmission Problems, Moscow, Russia","institution_ids":["https://openalex.org/I4210107660"]},{"raw_affiliation_string":"National Research University Higher School of Economics, Moscow, Russia","institution_ids":["https://openalex.org/I118501908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5066730725"],"corresponding_institution_ids":["https://openalex.org/I118501908","https://openalex.org/I4210107660"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.08179603,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"58","issue":"3","first_page":"403","last_page":"423"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9782000184059143,"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":0.9753999710083008,"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/ergodic-theory","display_name":"Ergodic theory","score":0.9070783853530884},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8050992488861084},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.7798414826393127},{"id":"https://openalex.org/keywords/law-of-the-iterated-logarithm","display_name":"Law of the iterated logarithm","score":0.7335180044174194},{"id":"https://openalex.org/keywords/stationary-ergodic-process","display_name":"Stationary ergodic process","score":0.6775612831115723},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.509409487247467},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5083081126213074},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.47141191363334656},{"id":"https://openalex.org/keywords/probability-measure","display_name":"Probability measure","score":0.47082096338272095},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.46388062834739685},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44545602798461914},{"id":"https://openalex.org/keywords/invariant-measure","display_name":"Invariant measure","score":0.4316663146018982},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.42624184489250183},{"id":"https://openalex.org/keywords/law-of-large-numbers","display_name":"Law of large numbers","score":0.42403510212898254},{"id":"https://openalex.org/keywords/iterated-logarithm","display_name":"Iterated logarithm","score":0.41988417506217957},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3675677478313446},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3319772481918335},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.29812508821487427},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.2681944966316223},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.20030945539474487},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1891108751296997},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.100180983543396},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0996764600276947}],"concepts":[{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.9070783853530884},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8050992488861084},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.7798414826393127},{"id":"https://openalex.org/C139907963","wikidata":"https://www.wikidata.org/wiki/Q198740","display_name":"Law of the iterated logarithm","level":3,"score":0.7335180044174194},{"id":"https://openalex.org/C151424130","wikidata":"https://www.wikidata.org/wiki/Q17123911","display_name":"Stationary ergodic process","level":4,"score":0.6775612831115723},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.509409487247467},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5083081126213074},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.47141191363334656},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.47082096338272095},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.46388062834739685},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44545602798461914},{"id":"https://openalex.org/C115667082","wikidata":"https://www.wikidata.org/wiki/Q4200518","display_name":"Invariant measure","level":3,"score":0.4316663146018982},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.42624184489250183},{"id":"https://openalex.org/C185767445","wikidata":"https://www.wikidata.org/wiki/Q207952","display_name":"Law of large numbers","level":3,"score":0.42403510212898254},{"id":"https://openalex.org/C130594498","wikidata":"https://www.wikidata.org/wiki/Q2028293","display_name":"Iterated logarithm","level":3,"score":0.41988417506217957},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3675677478313446},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3319772481918335},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29812508821487427},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.2681944966316223},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.20030945539474487},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1891108751296997},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.100180983543396},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0996764600276947},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00224-015-9632-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-015-9632-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4099999964237213,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1485395638","https://openalex.org/W1540433006","https://openalex.org/W1596349158","https://openalex.org/W1638203394","https://openalex.org/W2008797389","https://openalex.org/W2021889628","https://openalex.org/W2041729769","https://openalex.org/W2062744773","https://openalex.org/W2063998075","https://openalex.org/W2068458312","https://openalex.org/W2076112250","https://openalex.org/W2101525278","https://openalex.org/W2101900964","https://openalex.org/W2103012681","https://openalex.org/W2107892052","https://openalex.org/W2116159147","https://openalex.org/W2139647880","https://openalex.org/W2140769273","https://openalex.org/W2154055950","https://openalex.org/W2792596250","https://openalex.org/W2963862725","https://openalex.org/W2964352066","https://openalex.org/W3139987342","https://openalex.org/W4205976284","https://openalex.org/W4230960895","https://openalex.org/W4233413206","https://openalex.org/W4234519821"],"related_works":["https://openalex.org/W2078024495","https://openalex.org/W2019269324","https://openalex.org/W2059864382","https://openalex.org/W2020632715","https://openalex.org/W2130361051","https://openalex.org/W2000144604","https://openalex.org/W3098909566","https://openalex.org/W4366375461","https://openalex.org/W2090008796","https://openalex.org/W2373600854"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
