{"id":"https://openalex.org/W2123177215","doi":"https://doi.org/10.37236/1804","title":"Multiple Pattern Avoidance with respect to Fixed Points and Excedances","display_name":"Multiple Pattern Avoidance with respect to Fixed Points and Excedances","publication_year":2004,"publication_date":"2004-07-29","ids":{"openalex":"https://openalex.org/W2123177215","doi":"https://doi.org/10.37236/1804","mag":"2123177215"},"language":"en","primary_location":{"id":"doi:10.37236/1804","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1804","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1r51/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1r51/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091007333","display_name":"Sergi Elizalde","orcid":"https://orcid.org/0000-0003-4116-2455"},"institutions":[{"id":"https://openalex.org/I4210110987","display_name":"IIT@MIT","ror":"https://ror.org/01wp8zh54","country_code":"US","type":"facility","lineage":["https://openalex.org/I30771326","https://openalex.org/I4210110987"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sergi Elizalde","raw_affiliation_strings":["Department of Mathematics MIT, Cambridge, MA 02139"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics MIT, Cambridge, MA 02139","institution_ids":["https://openalex.org/I4210110987"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5091007333"],"corresponding_institution_ids":["https://openalex.org/I4210110987"],"apc_list":null,"apc_paid":null,"fwci":1.0116,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.75255624,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"11","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9876000285148621,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.98089998960495,"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/bijection-injection-and-surjection","display_name":"Bijection, injection and surjection","score":0.9462406635284424},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8820276260375977},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6791504621505737},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4907151460647583},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.48596346378326416},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.42846155166625977},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.37915992736816406},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06125977635383606}],"concepts":[{"id":"https://openalex.org/C48659774","wikidata":"https://www.wikidata.org/wiki/Q4907197","display_name":"Bijection, injection and surjection","level":3,"score":0.9462406635284424},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8820276260375977},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6791504621505737},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4907151460647583},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.48596346378326416},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.42846155166625977},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.37915992736816406},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06125977635383606}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/1804","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1804","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1r51/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/1804","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1804","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i1r51/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2123177215.pdf","grobid_xml":"https://content.openalex.org/works/W2123177215.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W113072442","https://openalex.org/W1489169640","https://openalex.org/W1491961545","https://openalex.org/W1511486126","https://openalex.org/W1541035615","https://openalex.org/W1963954024","https://openalex.org/W2014559994","https://openalex.org/W2014724230","https://openalex.org/W2021535990","https://openalex.org/W2024532720","https://openalex.org/W2029389000","https://openalex.org/W2047474808","https://openalex.org/W2048655899","https://openalex.org/W2071070757","https://openalex.org/W2089343719","https://openalex.org/W2129036921","https://openalex.org/W2951799247","https://openalex.org/W2993773372","https://openalex.org/W2994579385","https://openalex.org/W4212838771","https://openalex.org/W4235551663","https://openalex.org/W4244594925","https://openalex.org/W4384817650","https://openalex.org/W6607530787","https://openalex.org/W6805331278"],"related_works":["https://openalex.org/W2952259524","https://openalex.org/W2160566290","https://openalex.org/W2806276129","https://openalex.org/W4299611798","https://openalex.org/W2963449060","https://openalex.org/W1893226401","https://openalex.org/W1582142388","https://openalex.org/W2885368579","https://openalex.org/W2110957471","https://openalex.org/W9509517"],"abstract_inverted_index":{"We":[0,24,63],"study":[1,108],"the":[2,5,27,66,102],"distribution":[3,67],"of":[4,8,13,19,21,29,32,50,55,68,76,78,94],"statistics":[6,70,103,111],"'number":[7,12],"fixed":[9],"points'":[10],"and":[11,91],"excedances'":[14],"in":[15,71,97,104],"permutations":[16,90,105],"avoiding":[17,73],"subsets":[18],"patterns":[20,49,77],"length":[22,79],"3.":[23,80],"solve":[25],"all":[26],"cases":[28,45],"simultaneous":[30],"avoidance":[31,54],"more":[33],"than":[34],"one":[35,56],"pattern,":[36],"giving":[37],"generating":[38],"functions":[39],"enumerating":[40],"these":[41,69],"two":[42],"statistics.":[43],"Some":[44],"are":[46,116],"generalized":[47],"to":[48,85,110,118],"arbitrary":[51],"length.":[52],"For":[53],"single":[57],"pattern":[58],"we":[59,107],"give":[60],"partial":[61],"results.":[62],"also":[64],"describe":[65],"involutions":[72],"any":[74],"subset":[75],"The":[81],"main":[82],"technique":[83],"is":[84],"use":[86],"bijections":[87],"between":[88],"pattern-avoiding":[89],"certain":[92],"kinds":[93],"Dyck":[95,113],"paths,":[96],"such":[98],"a":[99],"way":[100],"that":[101,106,115],"correspond":[109],"on":[112],"paths":[114],"easy":[117],"enumerate.":[119]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}