{"id":"https://openalex.org/W2796546580","doi":"https://doi.org/10.1007/s00453-019-00586-5","title":"Patterns in Random Permutations Avoiding Some Sets of Multiple Patterns","display_name":"Patterns in Random Permutations Avoiding Some Sets of Multiple Patterns","publication_year":2019,"publication_date":"2019-06-11","ids":{"openalex":"https://openalex.org/W2796546580","doi":"https://doi.org/10.1007/s00453-019-00586-5","mag":"2796546580"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-019-00586-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-019-00586-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-019-00586-5.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00453-019-00586-5.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022615833","display_name":"Svante Janson","orcid":"https://orcid.org/0000-0002-9680-2790"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Svante Janson","raw_affiliation_strings":["Department of Mathematics, Uppsala University, PO Box 480, 751 06, Uppsala, Sweden","Department of Mathematics, Uppsala University,  Uppsala, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Uppsala University, PO Box 480, 751 06, Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]},{"raw_affiliation_string":"Department of Mathematics, Uppsala University,  Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5022615833"],"corresponding_institution_ids":["https://openalex.org/I123387679"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.5081,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.54167997,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"82","issue":"3","first_page":"616","last_page":"641"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9994000196456909,"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":0.9994000196456909,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9980000257492065,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9804999828338623,"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/random-permutation","display_name":"Random permutation","score":0.8008438348770142},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.7752209901809692},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6413264870643616},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6310509443283081},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6045804023742676},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5445369482040405},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5072066783905029},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3553699851036072},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2643435001373291},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09540212154388428},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"Symmetric group","score":0.08584806323051453},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06712621450424194}],"concepts":[{"id":"https://openalex.org/C200985842","wikidata":"https://www.wikidata.org/wiki/Q3375503","display_name":"Random permutation","level":3,"score":0.8008438348770142},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.7752209901809692},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6413264870643616},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6310509443283081},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6045804023742676},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5445369482040405},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5072066783905029},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3553699851036072},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2643435001373291},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09540212154388428},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.08584806323051453},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06712621450424194},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00453-019-00586-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-019-00586-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-019-00586-5.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1804.06071","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1804.06071","pdf_url":"https://arxiv.org/pdf/1804.06071","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2796546580","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1804.06071.pdf","pdf_url":null,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:DiVA.org:uu-406496","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-406496","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article in journal"},{"id":"doi:10.48550/arxiv.1804.06071","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1804.06071","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s00453-019-00586-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-019-00586-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-019-00586-5.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8683756101","display_name":null,"funder_award_id":"support","funder_id":"https://openalex.org/F4320322327","funder_display_name":"Knut och Alice Wallenbergs Stiftelse"}],"funders":[{"id":"https://openalex.org/F4320322327","display_name":"Knut och Alice Wallenbergs Stiftelse","ror":"https://ror.org/004hzzk67"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2796546580.pdf","grobid_xml":"https://content.openalex.org/works/W2796546580.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1483560004","https://openalex.org/W1551177513","https://openalex.org/W1586233502","https://openalex.org/W1595697955","https://openalex.org/W1678939467","https://openalex.org/W1984841421","https://openalex.org/W1996878220","https://openalex.org/W2038250522","https://openalex.org/W2065230098","https://openalex.org/W2126209209","https://openalex.org/W2130588964","https://openalex.org/W2280827206","https://openalex.org/W2400363291","https://openalex.org/W2605191630","https://openalex.org/W2686806474","https://openalex.org/W2949979695","https://openalex.org/W2963214692","https://openalex.org/W2964253717","https://openalex.org/W3102639043","https://openalex.org/W4212799367","https://openalex.org/W4212838771","https://openalex.org/W4234552994","https://openalex.org/W4237930722"],"related_works":["https://openalex.org/W2767868283","https://openalex.org/W2950047420","https://openalex.org/W2963364487","https://openalex.org/W2152783876","https://openalex.org/W2011844276","https://openalex.org/W2013231195","https://openalex.org/W1987129084","https://openalex.org/W1969575669","https://openalex.org/W2904990758","https://openalex.org/W1525122815","https://openalex.org/W1980076972","https://openalex.org/W2982645950","https://openalex.org/W3027102474","https://openalex.org/W3092911236","https://openalex.org/W3181569274","https://openalex.org/W3187064415","https://openalex.org/W2993773372","https://openalex.org/W2950662015","https://openalex.org/W3103271968","https://openalex.org/W2953210751"],"abstract_inverted_index":{"We":[0,24],"consider":[1],"a":[2,37,59],"random":[3],"permutation":[4],"drawn":[5],"from":[6],"the":[7,27,46,54],"set":[8,18],"of":[9,11,19,21,29,31,56,62],"permutations":[10,57],"length":[12,22,63],"n":[13],"that":[14,26],"avoid":[15],"some":[16],"given":[17],"patterns":[20],"3.":[23],"show":[25],"number":[28,47],"occurrences":[30],"another":[32],"pattern":[33,61],"$$\\sigma":[34],"$$":[35],"has":[36],"limit":[38],"distribution,":[39],"after":[40],"suitable":[41],"scaling.":[42],"In":[43],"several":[44],"cases,":[45],"is":[48],"asymptotically":[49],"normal;":[50],"this":[51],"contrasts":[52],"to":[53],"cases":[55],"avoiding":[58],"single":[60],"3":[64],"studied":[65],"in":[66],"earlier":[67],"papers.":[68]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2022-10-02T00:00:00"}