{"id":"https://openalex.org/W3111764210","doi":"https://doi.org/10.1080/00029890.2020.1820837","title":"Escaping an Infinitude of Lions","display_name":"Escaping an Infinitude of Lions","publication_year":2020,"publication_date":"2020-11-25","ids":{"openalex":"https://openalex.org/W3111764210","doi":"https://doi.org/10.1080/00029890.2020.1820837","mag":"3111764210"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2020.1820837","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2020.1820837","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2012.11181","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017343893","display_name":"Mikkel Abrahamsen","orcid":"https://orcid.org/0000-0003-2734-4690"},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Mikkel Abrahamsen","raw_affiliation_strings":["Basic Algorithms Research Copenhagen (BARC), University of Copenhagen, Copenhagen, Denmark;"],"affiliations":[{"raw_affiliation_string":"Basic Algorithms Research Copenhagen (BARC), University of Copenhagen, Copenhagen, Denmark;","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025874799","display_name":"Jacob Holm","orcid":"https://orcid.org/0000-0001-6997-9251"},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Jacob Holm","raw_affiliation_strings":["BARC, University of Copenhagen, Copenhagen, Denmark;"],"affiliations":[{"raw_affiliation_string":"BARC, University of Copenhagen, Copenhagen, Denmark;","institution_ids":["https://openalex.org/I124055696"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004695759","display_name":"Eva Rotenberg","orcid":"https://orcid.org/0000-0001-5853-7909"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Eva Rotenberg","raw_affiliation_strings":["Technical University of Denmark, Kgs. Lyngby, Denmark"],"affiliations":[{"raw_affiliation_string":"Technical University of Denmark, Kgs. Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077977985","display_name":"Christian Wulff\u2010Nilsen","orcid":"https://orcid.org/0000-0002-3699-7821"},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Christian Wulff-Nilsen","raw_affiliation_strings":["Basic Algorithms Research Copenhagen (BARC), University of Copenhagen, Copenhagen, Denmark;"],"affiliations":[{"raw_affiliation_string":"Basic Algorithms Research Copenhagen (BARC), University of Copenhagen, Copenhagen, Denmark;","institution_ids":["https://openalex.org/I124055696"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5017343893"],"corresponding_institution_ids":["https://openalex.org/I124055696"],"apc_list":null,"apc_paid":null,"fwci":0.2706,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66028126,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"127","issue":"10","first_page":"880","last_page":"896"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11574","display_name":"Artificial Intelligence in Games","score":0.9987999796867371,"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":0.9987999796867371,"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/T12158","display_name":"Guidance and Control Systems","score":0.9657999873161316,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9585000276565552,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.7580567598342896},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.7534366846084595},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5148484110832214},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.5006546974182129},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49713972210884094},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.486736536026001},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4647981524467468},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3653624653816223},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36427873373031616},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28250652551651},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.25414419174194336},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17422714829444885},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"Mathematics education","score":0.07647249102592468}],"concepts":[{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.7580567598342896},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.7534366846084595},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5148484110832214},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.5006546974182129},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49713972210884094},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.486736536026001},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4647981524467468},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3653624653816223},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36427873373031616},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28250652551651},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25414419174194336},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17422714829444885},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.07647249102592468},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/00029890.2020.1820837","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2020.1820837","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2012.11181","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2012.11181","pdf_url":"https://arxiv.org/pdf/2012.11181","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/00515bb4-38ee-455d-8684-5903b0ed6f07","is_oa":true,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/00515bb4-38ee-455d-8684-5903b0ed6f07","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Abrahamsen , M , Holm , J , Rotenberg , E & Wulff-nilsen , C 2020 , ' Escaping an Infinitude of Lions ' , The American Mathematical Monthly , vol. 127 , no. 10 , pp. 880-896 . https://doi.org/10.1080/00029890.2020.1820837","raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:publications/c346c632-c4aa-45b2-8716-e1f9bce263be","is_oa":true,"landing_page_url":"https://orbit.dtu.dk/en/publications/c346c632-c4aa-45b2-8716-e1f9bce263be","pdf_url":null,"source":{"id":"https://openalex.org/S4306400705","display_name":"Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I96673099","host_organization_name":"Technical University of Denmark","host_organization_lineage":["https://openalex.org/I96673099"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Abrahamsen , M , Holm , J , Rotenberg , E & Wulff-Nilsen , C 2020 , ' Escaping an Infinitude of Lions ' , American Mathematical Monthly , vol. 127 , no. 10 , pp. 880-896 . https://doi.org/10.1080/00029890.2020.1820837","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2012.11181","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2012.11181","pdf_url":"https://arxiv.org/pdf/2012.11181","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322928","display_name":"Danmarks Frie Forskningsfond","ror":"https://ror.org/02sptwz63"},{"id":"https://openalex.org/F4320323153","display_name":"Danmarks Tekniske Universitet","ror":"https://ror.org/04qtj9h94"},{"id":"https://openalex.org/F4320327387","display_name":"Danmarks Frie Forskningsfond","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1668739223","https://openalex.org/W1913504200","https://openalex.org/W1975772011","https://openalex.org/W2013765672","https://openalex.org/W2022967387","https://openalex.org/W2050433809","https://openalex.org/W2053116350","https://openalex.org/W2065848091","https://openalex.org/W2100321776","https://openalex.org/W2105454433","https://openalex.org/W2466197628","https://openalex.org/W2547808144","https://openalex.org/W2568854391","https://openalex.org/W2604472098","https://openalex.org/W3111764210","https://openalex.org/W3170122799"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W4299610791","https://openalex.org/W2950866767","https://openalex.org/W1631776469","https://openalex.org/W3207604768","https://openalex.org/W3019662020","https://openalex.org/W4281680667","https://openalex.org/W3106300234","https://openalex.org/W4286900056","https://openalex.org/W4391383687"],"abstract_inverted_index":{"We":[0,37],"consider":[1],"the":[2,7,34,39,42],"following":[3],"game":[4],"played":[5],"in":[6,41],"Euclidean":[8],"plane:":[9],"There":[10],"is":[11],"any":[12,45],"countable":[13],"set":[14],"of":[15],"unit":[16],"speed":[17,27],"lions":[18],"and":[19],"one":[20],"fast":[21],"man":[22,35],"who":[23],"can":[24],"run":[25],"with":[26],"1+\u03b5":[28],"for":[29,44],"some":[30],"value":[31],"\u03b5>0.":[32,46],"Can":[33],"survive?":[36],"answer":[38],"question":[40],"affirmative":[43]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2021-01-05T00:00:00"}