{"id":"https://openalex.org/W1539116566","doi":"https://doi.org/10.1007/3-540-59042-0_111","title":"Malign distributions for average case circuit complexity","display_name":"Malign distributions for average case circuit complexity","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W1539116566","doi":"https://doi.org/10.1007/3-540-59042-0_111","mag":"1539116566"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-59042-0_111","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-59042-0_111","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":"book-chapter","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/A5053904278","display_name":"Andreas Jakoby","orcid":null},"institutions":[{"id":"https://openalex.org/I9341345","display_name":"University of L\u00fcbeck","ror":"https://ror.org/00t3r8h32","country_code":"DE","type":"education","lineage":["https://openalex.org/I9341345"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Andreas Jakoby","raw_affiliation_strings":["Med. Universit\u00e4t zu L\u00fcbeck, Germany","Med. Universit\u00e4t zu L\u00fcbeck"],"affiliations":[{"raw_affiliation_string":"Med. Universit\u00e4t zu L\u00fcbeck, Germany","institution_ids":["https://openalex.org/I9341345"]},{"raw_affiliation_string":"Med. Universit\u00e4t zu L\u00fcbeck","institution_ids":["https://openalex.org/I9341345"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089868014","display_name":"R\u00fcdiger Reischuk","orcid":"https://orcid.org/0000-0003-2031-3664"},"institutions":[{"id":"https://openalex.org/I9341345","display_name":"University of L\u00fcbeck","ror":"https://ror.org/00t3r8h32","country_code":"DE","type":"education","lineage":["https://openalex.org/I9341345"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"R\u00fcdiger Reischuk","raw_affiliation_strings":["Med. Universit\u00e4t zu L\u00fcbeck, Germany","Med. Universit\u00e4t zu L\u00fcbeck"],"affiliations":[{"raw_affiliation_string":"Med. Universit\u00e4t zu L\u00fcbeck, Germany","institution_ids":["https://openalex.org/I9341345"]},{"raw_affiliation_string":"Med. Universit\u00e4t zu L\u00fcbeck","institution_ids":["https://openalex.org/I9341345"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068757827","display_name":"Christian Schindelhauer","orcid":"https://orcid.org/0000-0002-8320-8581"},"institutions":[{"id":"https://openalex.org/I9341345","display_name":"University of L\u00fcbeck","ror":"https://ror.org/00t3r8h32","country_code":"DE","type":"education","lineage":["https://openalex.org/I9341345"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Schindelhauer","raw_affiliation_strings":["Med. Universit\u00e4t zu L\u00fcbeck, Germany","Med. Universit\u00e4t zu L\u00fcbeck"],"affiliations":[{"raw_affiliation_string":"Med. Universit\u00e4t zu L\u00fcbeck, Germany","institution_ids":["https://openalex.org/I9341345"]},{"raw_affiliation_string":"Med. Universit\u00e4t zu L\u00fcbeck","institution_ids":["https://openalex.org/I9341345"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053904278"],"corresponding_institution_ids":["https://openalex.org/I9341345"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.5536,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63571727,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"628","last_page":"639"},"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/T11567","display_name":"semigroups and automata theory","score":0.9988999962806702,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/boolean-function","display_name":"Boolean function","score":0.6670622825622559},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.6265319585800171},{"id":"https://openalex.org/keywords/circuit-complexity","display_name":"Circuit complexity","score":0.6078954935073853},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5122143626213074},{"id":"https://openalex.org/keywords/average-case-complexity","display_name":"Average-case complexity","score":0.4998650550842285},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49386006593704224},{"id":"https://openalex.org/keywords/turing-machine","display_name":"Turing machine","score":0.48420193791389465},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.481810986995697},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.481344074010849},{"id":"https://openalex.org/keywords/worst-case-complexity","display_name":"Worst-case complexity","score":0.4786154627799988},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4686412513256073},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45096638798713684},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4492892920970917},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.43889838457107544},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.42976775765419006},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4207088351249695},{"id":"https://openalex.org/keywords/contrast","display_name":"Contrast (vision)","score":0.4131774306297302},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3563961386680603},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.323302686214447},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.21415069699287415}],"concepts":[{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6670622825622559},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.6265319585800171},{"id":"https://openalex.org/C90702460","wikidata":"https://www.wikidata.org/wiki/Q1055112","display_name":"Circuit complexity","level":3,"score":0.6078954935073853},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5122143626213074},{"id":"https://openalex.org/C24604422","wikidata":"https://www.wikidata.org/wiki/Q4828244","display_name":"Average-case complexity","level":3,"score":0.4998650550842285},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49386006593704224},{"id":"https://openalex.org/C29248071","wikidata":"https://www.wikidata.org/wiki/Q163310","display_name":"Turing machine","level":3,"score":0.48420193791389465},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.481810986995697},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.481344074010849},{"id":"https://openalex.org/C96563100","wikidata":"https://www.wikidata.org/wiki/Q8037118","display_name":"Worst-case complexity","level":3,"score":0.4786154627799988},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4686412513256073},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45096638798713684},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4492892920970917},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.43889838457107544},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.42976775765419006},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4207088351249695},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.4131774306297302},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3563961386680603},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.323302686214447},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.21415069699287415},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/3-540-59042-0_111","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-59042-0_111","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:CiteSeerX.psu:10.1.1.30.9730","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.30.9730","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.itheoi.mu-luebeck.de/Forschung/A9506Neu.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.33.6443","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.33.6443","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.itheoi.mu-luebeck.de/pages/schindel/pubs/ic00.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.43.3927","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.43.3927","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www2.is.titech.ac.jp/~watanabe/comp-semi/97/6b.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W111357255","https://openalex.org/W568442581","https://openalex.org/W1480439018","https://openalex.org/W1517585663","https://openalex.org/W1587602953","https://openalex.org/W1635542106","https://openalex.org/W2001867051","https://openalex.org/W2081026687","https://openalex.org/W2081890049","https://openalex.org/W2100008268","https://openalex.org/W2107993699","https://openalex.org/W2117976956","https://openalex.org/W2131882306","https://openalex.org/W2155137960","https://openalex.org/W2165654745","https://openalex.org/W2171756291","https://openalex.org/W2173249896","https://openalex.org/W2497760164"],"related_works":["https://openalex.org/W2055594799","https://openalex.org/W3049543508","https://openalex.org/W4382322343","https://openalex.org/W2011469629","https://openalex.org/W3204916073","https://openalex.org/W2155097858","https://openalex.org/W1597080238","https://openalex.org/W1539116566","https://openalex.org/W2078940883","https://openalex.org/W1963823861"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
