{"id":"https://openalex.org/W2614323756","doi":"https://doi.org/10.23638/dmtcs-19-2-5","title":"Asymptotic distribution of fixed points of pattern-avoiding involutions","display_name":"Asymptotic distribution of fixed points of pattern-avoiding involutions","publication_year":2017,"publication_date":"2017-12-11","ids":{"openalex":"https://openalex.org/W2614323756","doi":"https://doi.org/10.23638/dmtcs-19-2-5","mag":"2614323756"},"language":"en","primary_location":{"id":"doi:10.23638/dmtcs-19-2-5","is_oa":true,"landing_page_url":"https://doi.org/10.23638/dmtcs-19-2-5","pdf_url":"https://dmtcs.episciences.org/4135/pdf","source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics &amp; Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://dmtcs.episciences.org/4135/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002330702","display_name":"Samuel Miner","orcid":null},"institutions":[{"id":"https://openalex.org/I177881444","display_name":"Pomona College","ror":"https://ror.org/0074grg94","country_code":"US","type":"education","lineage":["https://openalex.org/I177881444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Samuel Miner","raw_affiliation_strings":["Pomona College , Claremont CA , USA","Pomona College, Claremont CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pomona College , Claremont CA , USA","institution_ids":["https://openalex.org/I177881444"]},{"raw_affiliation_string":"Pomona College, Claremont CA, USA","institution_ids":["https://openalex.org/I177881444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027674847","display_name":"Douglas Rizzolo","orcid":"https://orcid.org/0009-0003-1886-5010"},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Douglas Rizzolo","raw_affiliation_strings":["University of Delaware , Newark DE , USA","University of Delaware, Newark DE, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Delaware , Newark DE , USA","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"University of Delaware, Newark DE, USA","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054700851","display_name":"Erik Slivken","orcid":"https://orcid.org/0000-0002-1277-8464"},"institutions":[{"id":"https://openalex.org/I169173203","display_name":"D\u00e9l\u00e9gation Paris 7","ror":"https://ror.org/00bw5n526","country_code":"FR","type":"government","lineage":["https://openalex.org/I154526488","https://openalex.org/I169173203"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Erik Slivken","raw_affiliation_strings":["University of Paris Diderot , Paris , France","University of Paris Diderot, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Paris Diderot , Paris , France","institution_ids":["https://openalex.org/I169173203","https://openalex.org/I204730241"]},{"raw_affiliation_string":"University of Paris Diderot, Paris, France","institution_ids":["https://openalex.org/I169173203","https://openalex.org/I204730241"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9591,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69341185,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"Vol. 19 no. 2, Permutation...","issue":"Permutation Patterns","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":0.9995999932289124,"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":0.9995999932289124,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/fixed-point","display_name":"Fixed point","score":0.6478854417800903},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.533771276473999},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5168709754943848},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20680347084999084}],"concepts":[{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.6478854417800903},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.533771276473999},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5168709754943848},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20680347084999084}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.23638/dmtcs-19-2-5","is_oa":true,"landing_page_url":"https://doi.org/10.23638/dmtcs-19-2-5","pdf_url":"https://dmtcs.episciences.org/4135/pdf","source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics &amp; Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1705.04801","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1705.04801","pdf_url":"https://arxiv.org/pdf/1705.04801","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:5c6cad455a3b41c49c1cd9328b250ec1","is_oa":true,"landing_page_url":"https://doaj.org/article/5c6cad455a3b41c49c1cd9328b250ec1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Mathematics & Theoretical Computer Science, Vol Vol. 19 no. 2, Permutation..., Iss Permutation Patterns (2017)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.23638/dmtcs-19-2-5","is_oa":true,"landing_page_url":"https://doi.org/10.23638/dmtcs-19-2-5","pdf_url":"https://dmtcs.episciences.org/4135/pdf","source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics &amp; Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5243178512","display_name":null,"funder_award_id":"680275","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2614323756.pdf","grobid_xml":"https://content.openalex.org/works/W2614323756.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W213406082","https://openalex.org/W604583610","https://openalex.org/W1483560004","https://openalex.org/W1539158444","https://openalex.org/W1551177513","https://openalex.org/W1924956554","https://openalex.org/W1963954024","https://openalex.org/W1984841421","https://openalex.org/W2066174946","https://openalex.org/W2071070757","https://openalex.org/W2152175091","https://openalex.org/W2267867414","https://openalex.org/W2280827206","https://openalex.org/W2340541605","https://openalex.org/W2400363291","https://openalex.org/W2506114045","https://openalex.org/W2517606327","https://openalex.org/W2914659449","https://openalex.org/W2963373551","https://openalex.org/W2963384515","https://openalex.org/W2963605795","https://openalex.org/W2963689107","https://openalex.org/W2999782851","https://openalex.org/W4212838771","https://openalex.org/W4235936977","https://openalex.org/W4237930722","https://openalex.org/W4300073819","https://openalex.org/W4300726738"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"For":[0,43,68],"a":[1,62],"variety":[2],"of":[3,14,32,40,65,71],"pattern-avoiding":[4],"classes,":[5],"we":[6,28,46,74],"describe":[7],"the":[8,12,48,76,86,104,108],"limiting":[9,105],"distribution":[10,106],"for":[11,17,85],"number":[13],"fixed":[15,83],"points":[16,84],"involutions":[18,60,87],"chosen":[19],"uniformly":[20],"at":[21,55],"random":[22],"from":[23,97,107],"that":[24,88,90],"class.":[25],"In":[26],"particular":[27],"consider":[29],"monotone":[30,44,63],"patterns":[31,39,45],"arbitrary":[33],"length":[34,41,66,72],"as":[35,37],"well":[36],"all":[38],"3.":[42],"utilize":[47],"connection":[49],"with":[50,54,80],"standard":[51],"Young":[52],"tableaux":[53],"most":[56],"$k$":[57],"rows":[58],"and":[59,92],"avoiding":[61],"pattern":[64,70],"$k$.":[67],"every":[69],"3":[73],"give":[75],"bivariate":[77],"generating":[78,109],"function":[79],"respect":[81],"to":[82,100],"avoid":[89],"pattern,":[91],"where":[93],"applicable":[94],"apply":[95],"tools":[96],"analytic":[98],"combinatorics":[99],"extract":[101],"information":[102],"about":[103],"function.":[110],"Many":[111],"well-known":[112],"distributions":[113],"appear.":[114],"Comment:":[115],"16":[116],"pages":[117]},"counts_by_year":[{"year":2020,"cited_by_count":2}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
