{"id":"https://openalex.org/W1879643999","doi":"https://doi.org/10.1007/978-3-642-03685-9_27","title":"Strong Parallel Repetition Theorem for Free Projection Games","display_name":"Strong Parallel Repetition Theorem for Free Projection Games","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1879643999","doi":"https://doi.org/10.1007/978-3-642-03685-9_27","mag":"1879643999"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-03685-9_27","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03685-9_27","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/A5102710346","display_name":"Boaz Barak","orcid":"https://orcid.org/0000-0002-4053-8927"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Boaz Barak","raw_affiliation_strings":["Department of Computer Science, Princeton University, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Princeton University, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035012558","display_name":"Anup Rao","orcid":"https://orcid.org/0000-0002-6449-9547"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anup Rao","raw_affiliation_strings":["Institute for Advanced Study, Israel"],"affiliations":[{"raw_affiliation_string":"Institute for Advanced Study, Israel","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041545934","display_name":"Ran Raz","orcid":"https://orcid.org/0009-0008-1656-2258"},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ran Raz","raw_affiliation_strings":["Faculty of mathematics and computer science, Weizmann Institute, Israel"],"affiliations":[{"raw_affiliation_string":"Faculty of mathematics and computer science, Weizmann Institute, Israel","institution_ids":["https://openalex.org/I53964585"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052786725","display_name":"Ricky Rosen","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ricky Rosen","raw_affiliation_strings":["Department of Computer Science, Tel-Aviv University, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Tel-Aviv University, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062263696","display_name":"Ronen Shaltiel","orcid":"https://orcid.org/0000-0002-5182-593X"},"institutions":[{"id":"https://openalex.org/I91203450","display_name":"University of Haifa","ror":"https://ror.org/02f009v59","country_code":"IL","type":"education","lineage":["https://openalex.org/I91203450"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ronen Shaltiel","raw_affiliation_strings":["Department of Computer Science, Haifa University, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Haifa University, Israel","institution_ids":["https://openalex.org/I91203450"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5102710346"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.7313,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.8614822,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"352","last_page":"365"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11574","display_name":"Artificial Intelligence in Games","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11574","display_name":"Artificial Intelligence in Games","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9872999787330627,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9776999950408936,"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/repetition","display_name":"Repetition (rhetorical device)","score":0.749226450920105},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.7104199528694153},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5407469272613525},{"id":"https://openalex.org/keywords/repeated-game","display_name":"Repeated game","score":0.5116856098175049},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.48431745171546936},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.477854460477829},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44993898272514343},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39185720682144165},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38968193531036377},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3784467577934265},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.30774980783462524},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.2427465319633484},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23904874920845032},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06792789697647095},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05659830570220947}],"concepts":[{"id":"https://openalex.org/C2776141515","wikidata":"https://www.wikidata.org/wiki/Q1274479","display_name":"Repetition (rhetorical device)","level":2,"score":0.749226450920105},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.7104199528694153},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5407469272613525},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.5116856098175049},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.48431745171546936},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.477854460477829},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44993898272514343},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39185720682144165},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38968193531036377},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3784467577934265},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.30774980783462524},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.2427465319633484},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23904874920845032},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06792789697647095},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05659830570220947},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-03685-9_27","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03685-9_27","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:10.1.1.150.3090","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.150.3090","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.wisdom.weizmann.ac.il/~ranraz/publications/PPPR.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1970259241","https://openalex.org/W2019374631","https://openalex.org/W2051184870","https://openalex.org/W2102373437","https://openalex.org/W2108684595","https://openalex.org/W2117417786","https://openalex.org/W2137955570","https://openalex.org/W2154386769","https://openalex.org/W2155618818","https://openalex.org/W3179843568","https://openalex.org/W4285719527","https://openalex.org/W6635373764"],"related_works":["https://openalex.org/W4389599330","https://openalex.org/W2276575217","https://openalex.org/W190963404","https://openalex.org/W2141950114","https://openalex.org/W2134321370","https://openalex.org/W4372324527","https://openalex.org/W2071306797","https://openalex.org/W1548919438","https://openalex.org/W4377081010","https://openalex.org/W4231475355"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":5}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}