{"id":"https://openalex.org/W3032777455","doi":"https://doi.org/10.1017/s0963548321000055","title":"Tree limits and limits of random trees","display_name":"Tree limits and limits of random trees","publication_year":2021,"publication_date":"2021-03-31","ids":{"openalex":"https://openalex.org/W3032777455","doi":"https://doi.org/10.1017/s0963548321000055","mag":"3032777455"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548321000055","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548321000055","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/79B2934A78D3B54A0077E178688FEE56/S0963548321000055a.pdf/div-class-title-tree-limits-and-limits-of-random-trees-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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/79B2934A78D3B54A0077E178688FEE56/S0963548321000055a.pdf/div-class-title-tree-limits-and-limits-of-random-trees-div.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, SE-751 06Uppsala, Sweden","Alice Wallenberg Foundation. Department of Mathematics, Uppsala University, PO Box 480, SE-751 06 Uppsala, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Uppsala University, PO Box 480, SE-751 06Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]},{"raw_affiliation_string":"Alice Wallenberg Foundation. Department of Mathematics, Uppsala University, PO Box 480, SE-751 06 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":null,"apc_paid":null,"fwci":3.6387,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.9284157,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"30","issue":"6","first_page":"849","last_page":"893"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9998999834060669,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9902999997138977,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/weight-balanced-tree","display_name":"Weight-balanced tree","score":0.7622873783111572},{"id":"https://openalex.org/keywords/random-binary-tree","display_name":"Random binary tree","score":0.7352415323257446},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6903091669082642},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.6249545216560364},{"id":"https://openalex.org/keywords/random-tree","display_name":"Random tree","score":0.6110759973526001},{"id":"https://openalex.org/keywords/ternary-search-tree","display_name":"Ternary search tree","score":0.5903329849243164},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5729085206985474},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.5496594905853271},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.5439713597297668},{"id":"https://openalex.org/keywords/k-ary-tree","display_name":"K-ary tree","score":0.49489372968673706},{"id":"https://openalex.org/keywords/binary-search-tree","display_name":"Binary search tree","score":0.4706268310546875},{"id":"https://openalex.org/keywords/branching-process","display_name":"Branching process","score":0.445089727640152},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4330217242240906},{"id":"https://openalex.org/keywords/tree-structure","display_name":"Tree structure","score":0.303941011428833},{"id":"https://openalex.org/keywords/interval-tree","display_name":"Interval tree","score":0.2658311426639557},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22164800763130188},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09971299767494202}],"concepts":[{"id":"https://openalex.org/C57900377","wikidata":"https://www.wikidata.org/wiki/Q7979855","display_name":"Weight-balanced tree","level":4,"score":0.7622873783111572},{"id":"https://openalex.org/C11829167","wikidata":"https://www.wikidata.org/wiki/Q751292","display_name":"Random binary tree","level":3,"score":0.7352415323257446},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6903091669082642},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.6249545216560364},{"id":"https://openalex.org/C2776839635","wikidata":"https://www.wikidata.org/wiki/Q14942679","display_name":"Random tree","level":4,"score":0.6110759973526001},{"id":"https://openalex.org/C136519935","wikidata":"https://www.wikidata.org/wiki/Q2859802","display_name":"Ternary search tree","level":5,"score":0.5903329849243164},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5729085206985474},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.5496594905853271},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.5439713597297668},{"id":"https://openalex.org/C100560664","wikidata":"https://www.wikidata.org/wiki/Q3608019","display_name":"K-ary tree","level":4,"score":0.49489372968673706},{"id":"https://openalex.org/C91154448","wikidata":"https://www.wikidata.org/wiki/Q623818","display_name":"Binary search tree","level":3,"score":0.4706268310546875},{"id":"https://openalex.org/C177255742","wikidata":"https://www.wikidata.org/wiki/Q4109953","display_name":"Branching process","level":2,"score":0.445089727640152},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4330217242240906},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.303941011428833},{"id":"https://openalex.org/C84927040","wikidata":"https://www.wikidata.org/wiki/Q6057306","display_name":"Interval tree","level":4,"score":0.2658311426639557},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22164800763130188},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09971299767494202},{"id":"https://openalex.org/C81074085","wikidata":"https://www.wikidata.org/wiki/Q366872","display_name":"Motion planning","level":3,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1017/s0963548321000055","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548321000055","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/79B2934A78D3B54A0077E178688FEE56/S0963548321000055a.pdf/div-class-title-tree-limits-and-limits-of-random-trees-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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2005.13832","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.13832","pdf_url":"https://arxiv.org/pdf/2005.13832","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":"pmh:oai:DiVA.org:uu-468371","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-468371","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"}],"best_oa_location":{"id":"doi:10.1017/s0963548321000055","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548321000055","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/79B2934A78D3B54A0077E178688FEE56/S0963548321000055a.pdf/div-class-title-tree-limits-and-limits-of-random-trees-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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"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/W3032777455.pdf","grobid_xml":"https://content.openalex.org/works/W3032777455.grobid-xml"},"referenced_works_count":67,"referenced_works":["https://openalex.org/W58305343","https://openalex.org/W273178449","https://openalex.org/W1483679902","https://openalex.org/W1533473741","https://openalex.org/W1572167025","https://openalex.org/W1724824334","https://openalex.org/W1972836911","https://openalex.org/W2004079181","https://openalex.org/W2011224453","https://openalex.org/W2017170340","https://openalex.org/W2022069198","https://openalex.org/W2022718961","https://openalex.org/W2036758357","https://openalex.org/W2039852779","https://openalex.org/W2049189093","https://openalex.org/W2059663227","https://openalex.org/W2063388380","https://openalex.org/W2070263216","https://openalex.org/W2081564088","https://openalex.org/W2086000598","https://openalex.org/W2092816446","https://openalex.org/W2095181329","https://openalex.org/W2096775741","https://openalex.org/W2103052454","https://openalex.org/W2120450362","https://openalex.org/W2120547819","https://openalex.org/W2125816608","https://openalex.org/W2131491766","https://openalex.org/W2146732737","https://openalex.org/W2148672712","https://openalex.org/W2168790747","https://openalex.org/W2314537452","https://openalex.org/W2802739963","https://openalex.org/W2916538292","https://openalex.org/W2951470041","https://openalex.org/W2962801705","https://openalex.org/W2962939975","https://openalex.org/W2963017176","https://openalex.org/W2963161876","https://openalex.org/W2963870251","https://openalex.org/W2963996485","https://openalex.org/W2998517448","https://openalex.org/W3003200373","https://openalex.org/W3028961752","https://openalex.org/W3091874817","https://openalex.org/W3102736130","https://openalex.org/W3105615941","https://openalex.org/W3106045806","https://openalex.org/W3106534834","https://openalex.org/W3214365479","https://openalex.org/W4233522140","https://openalex.org/W4233762729","https://openalex.org/W4236341278","https://openalex.org/W4250012175","https://openalex.org/W4253577938","https://openalex.org/W4255611719","https://openalex.org/W4285719527","https://openalex.org/W4287774958","https://openalex.org/W4292027056","https://openalex.org/W4292070112","https://openalex.org/W4299533062","https://openalex.org/W4300515554","https://openalex.org/W6631953675","https://openalex.org/W6673470458","https://openalex.org/W6674787366","https://openalex.org/W6682021758","https://openalex.org/W6763865945"],"related_works":["https://openalex.org/W2091985989","https://openalex.org/W2501849745","https://openalex.org/W2144672948","https://openalex.org/W2364382882","https://openalex.org/W2061004850","https://openalex.org/W3169685561","https://openalex.org/W2004985727","https://openalex.org/W2038309235","https://openalex.org/W1510719821","https://openalex.org/W3032777455"],"abstract_inverted_index":{"Abstract":[0],"We":[1,24],"explore":[2],"the":[3],"tree":[4,16],"limits":[5,17],"recently":[6],"defined":[7,47,52],"by":[8,53],"Elek":[9],"and":[10,35,42,49,75],"Tardos.":[11],"In":[12],"particular,":[13],"we":[14],"find":[15],"for":[18,28,39,50,62],"many":[19],"classes":[20,30],"of":[21,31],"random":[22,64,69],"trees.":[23,78],"give":[25],"general":[26,59],"theorems":[27],"three":[29],"conditional":[32],"Galton\u2013Watson":[33],"trees":[34,41,45,51],"simply":[36],"generated":[37],"trees,":[38,66,68,71,74],"split":[40,44],"generalized":[43],"(as":[46],"here),":[48],"a":[54],"continuous-time":[55],"branching":[56],"process.":[57],"These":[58],"results":[60],"include,":[61],"example,":[63],"labelled":[65],"ordered":[67],"recursive":[70],"preferential":[72],"attachment":[73],"binary":[76],"search":[77]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
