{"id":"https://openalex.org/W2809338878","doi":"https://doi.org/10.1017/s0963548319000270","title":"The Infinite limit of random permutations avoiding patterns of length three","display_name":"The Infinite limit of random permutations avoiding patterns of length three","publication_year":2019,"publication_date":"2019-10-14","ids":{"openalex":"https://openalex.org/W2809338878","doi":"https://doi.org/10.1017/s0963548319000270","mag":"2809338878"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548319000270","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548319000270","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/793B9C66C85B2A43CF01862E91B8CD16/S0963548319000270a.pdf/div-class-title-the-infinite-limit-of-random-permutations-avoiding-patterns-of-length-three-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/793B9C66C85B2A43CF01862E91B8CD16/S0963548319000270a.pdf/div-class-title-the-infinite-limit-of-random-permutations-avoiding-patterns-of-length-three-div.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032276033","display_name":"Ross G. Pinsky","orcid":"https://orcid.org/0000-0002-0814-9331"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Ross G. Pinsky","raw_affiliation_strings":["Department of Mathematics, Technion\u2013Israel Institute of Technology, Haifa, 32000, Israel Email:"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Technion\u2013Israel Institute of Technology, Haifa, 32000, Israel Email:","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5032276033"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04433186,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"29","issue":"1","first_page":"137","last_page":"152"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9381999969482422,"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"}},"topics":[{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9381999969482422,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9336000084877014,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9168999791145325,"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/combinatorics","display_name":"Combinatorics","score":0.7570188045501709},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.7068749666213989},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.662561297416687},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5221731662750244},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5011081695556641},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4512667655944824},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4423854649066925},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43849048018455505},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3744508624076843},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33631381392478943},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09943276643753052},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09326064586639404},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06050172448158264}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7570188045501709},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.7068749666213989},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.662561297416687},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5221731662750244},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5011081695556641},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4512667655944824},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4423854649066925},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43849048018455505},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3744508624076843},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33631381392478943},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09943276643753052},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09326064586639404},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06050172448158264},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1017/s0963548319000270","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548319000270","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/793B9C66C85B2A43CF01862E91B8CD16/S0963548319000270a.pdf/div-class-title-the-infinite-limit-of-random-permutations-avoiding-patterns-of-length-three-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1806.07669","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1806.07669","pdf_url":"https://arxiv.org/pdf/1806.07669","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":null,"raw_type":"text"},{"id":"mag:2809338878","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1806.07669.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":"doi:10.48550/arxiv.1806.07669","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1806.07669","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:10.1017/s0963548319000270","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548319000270","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/793B9C66C85B2A43CF01862E91B8CD16/S0963548319000270a.pdf/div-class-title-the-infinite-limit-of-random-permutations-avoiding-patterns-of-length-three-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2809338878.pdf","grobid_xml":"https://content.openalex.org/works/W2809338878.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W604583610","https://openalex.org/W2080851052","https://openalex.org/W2121163456","https://openalex.org/W2400363291","https://openalex.org/W2498788949","https://openalex.org/W2777388334","https://openalex.org/W2963605795","https://openalex.org/W2964253717","https://openalex.org/W3099309143","https://openalex.org/W4237930722"],"related_works":["https://openalex.org/W2980348586","https://openalex.org/W3098469459","https://openalex.org/W2782285266","https://openalex.org/W2738408589","https://openalex.org/W3103692684","https://openalex.org/W2291321941","https://openalex.org/W2798325606","https://openalex.org/W3102586875","https://openalex.org/W2471383395","https://openalex.org/W3213776343","https://openalex.org/W3160382400","https://openalex.org/W2908328269","https://openalex.org/W2914279594","https://openalex.org/W1719959929","https://openalex.org/W2807880763","https://openalex.org/W2950059403","https://openalex.org/W2952781530","https://openalex.org/W3045963305","https://openalex.org/W2964112947","https://openalex.org/W1997952988"],"abstract_inverted_index":{"Abstract":[0],"For":[1,127],"$$\\tau":[2,20,129,159,170],"\\in":[3,107,130,171],"{S_3}$$":[4,131,172],",":[5,92,96,115,120,132],"let":[6],"$$\\mu":[7],"_n^\\tau":[8,143],"$$":[9,21,37,102,148],"denote":[10,43],"the":[11,17,46,135,139,157,166],"uniformly":[12],"random":[13],"probability":[14],"measure":[15],"on":[16,149],"set":[18],"of":[19,51,138],"-avoiding":[22],"permutations":[23,105,169],"in":[24],"$${S_n}$$":[25],".":[26,103,126,151,173],"Let":[27],"$${\\mathbb":[28,68],"{N}^*}":[29],"=":[30,55,60,89,100,113,146,160],"{\\mathbb":[31],"{N}}":[32],"\\cup":[33],"\\{":[34],"\\infty":[35,101],"\\}":[36,144],"with":[38],"an":[39],"appropriate":[40],"metric":[41,48],"and":[42,162],"by":[44,109],"$$S({\\mathbb{N}},{\\mathbb{N}^*})$$":[45,150],"compact":[47],"space":[49],"consisting":[50],"functions":[52],"$$\\sigma":[53,106],"{\\rm{":[54,62],"}}\\{":[56],"{\\sigma":[57],"_i}\\}":[58],"_{i":[59],"1}^\\infty":[61,147],"}}$$":[63],"from":[64],"$$\\mathbb":[65],"{N}$$":[66],"to":[67,77],"{N}^":[69],"*":[70],"}$$":[71],"which":[72],"are":[73],"injections":[74],"when":[75],"restricted":[76],"$${\\sigma":[78,87,98,111],"^{":[79],"-":[80],"1}}(\\mathbb":[81],"{N})$$":[82],";":[83],"that":[84],"is,":[85],"if":[86],"_i}{\\rm{":[88],"}}{\\sigma":[90],"_j}$$":[91],"$$i":[93],"\\ne":[94],"j$$":[95,114],"then":[97],"_i}":[99],"Extending":[104],"{S_n}$$":[108],"defining":[110],"_j}":[112],"for":[116,156,165],"$$j":[117],"\\gt":[118],"n$$":[119],"we":[121,133],"have":[122],"$${S_n}":[123],"\\subset":[124],"S({\\mathbb{N}},{{\\mathbb{N}}^*})$$":[125],"each":[128],"study":[134],"limiting":[136],"behaviour":[137],"measures":[140],"$$\\{":[141],"\\mu":[142],"_{n":[145],"We":[152],"obtain":[153],"partial":[154],"results":[155,164],"permutation":[158],"321$$":[161],"complete":[163],"other":[167],"five":[168]},"counts_by_year":[],"updated_date":"2026-03-21T08:13:44.787528","created_date":"2022-10-02T00:00:00"}
