{"id":"https://openalex.org/W4382788460","doi":"https://doi.org/10.37236/11619","title":"Random Cubic Planar Maps","display_name":"Random Cubic Planar Maps","publication_year":2023,"publication_date":"2023-06-30","ids":{"openalex":"https://openalex.org/W4382788460","doi":"https://doi.org/10.37236/11619"},"language":"en","primary_location":{"id":"doi:10.37236/11619","is_oa":true,"landing_page_url":"https://doi.org/10.37236/11619","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i2p51/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/v30i2p51/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111752862","display_name":"Michael Drmota","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Michael Drmota","raw_affiliation_strings":["Institute for Discrete Mathematics and Geometry of the Technische Universit\u00e4t Wien, Austria"],"affiliations":[{"raw_affiliation_string":"Institute for Discrete Mathematics and Geometry of the Technische Universit\u00e4t Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083605241","display_name":"Marc Noy","orcid":"https://orcid.org/0000-0002-2399-1359"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]},{"id":"https://openalex.org/I4210122226","display_name":"Centre de Recerca Matem\u00e0tica","ror":"https://ror.org/020s51w82","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210122226","https://openalex.org/I4387153040"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Marc Noy","raw_affiliation_strings":["Departament de Matem\u00e0tiques and Institut de Matem\u00e0tiques (IMTech) de la Universitat Polit\u00e8cnica de Catalunya (UPC), and Centre de Recerca Matem\u00e0tica (CRM), Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tiques and Institut de Matem\u00e0tiques (IMTech) de la Universitat Polit\u00e8cnica de Catalunya (UPC), and Centre de Recerca Matem\u00e0tica (CRM), Barcelona, Spain","institution_ids":["https://openalex.org/I4210122226","https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055051460","display_name":"Cl\u00e9ment Requil\u00e9","orcid":"https://orcid.org/0000-0002-7689-7972"},"institutions":[{"id":"https://openalex.org/I4210122226","display_name":"Centre de Recerca Matem\u00e0tica","ror":"https://ror.org/020s51w82","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210122226","https://openalex.org/I4387153040"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Cl\u00e9ment Requil\u00e9","raw_affiliation_strings":[", and Centre de Recerca Matem\u00e0tica (CRM), Barcelona, Spain"],"affiliations":[{"raw_affiliation_string":", and Centre de Recerca Matem\u00e0tica (CRM), Barcelona, Spain","institution_ids":["https://openalex.org/I4210122226"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083707360","display_name":"Juanjo Ru\u00e9","orcid":"https://orcid.org/0000-0002-6420-3179"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Juanjo Ru\u00e9","raw_affiliation_strings":["Universitat Polit\u00e8cnica de Catalunya"],"affiliations":[{"raw_affiliation_string":"Universitat Polit\u00e8cnica de Catalunya","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5111752862"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":null,"apc_paid":null,"fwci":1.0655,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69886885,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"30","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9987000226974487,"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":0.9987000226974487,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9887999892234802,"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/T12351","display_name":"Geometry and complex manifolds","score":0.9502000212669373,"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/mathematics","display_name":"Mathematics","score":0.8458051681518555},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7300649285316467},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5978397130966187},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5816321969032288},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5254470705986023},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.5033494830131531},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4523738622665405},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.44156578183174133},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.43138301372528076},{"id":"https://openalex.org/keywords/cubic-function","display_name":"Cubic function","score":0.41796639561653137},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4083486497402191},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24650463461875916},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1883690357208252}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8458051681518555},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7300649285316467},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5978397130966187},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5816321969032288},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5254470705986023},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.5033494830131531},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4523738622665405},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.44156578183174133},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.43138301372528076},{"id":"https://openalex.org/C65559279","wikidata":"https://www.wikidata.org/wiki/Q16667694","display_name":"Cubic function","level":2,"score":0.41796639561653137},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4083486497402191},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24650463461875916},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1883690357208252},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/11619","is_oa":true,"landing_page_url":"https://doi.org/10.37236/11619","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i2p51/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:upcommons.upc.edu:2117/395379","is_oa":true,"landing_page_url":"https://hdl.handle.net/2117/395379","pdf_url":"https://upcommons.upc.edu/bitstreams/1d9c4dc6-5a04-449c-bcaa-d2f27442d1a1/download","source":{"id":"https://openalex.org/S4210207057","display_name":"QRU Quaderns de Recerca en Urbanisme","issn_l":"2014-9689","issn":["2014-9689","2385-6777"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310322448","host_organization_name":"Q71272178","host_organization_lineage":["https://openalex.org/P4310322448"],"host_organization_lineage_names":["Q71272178"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.37236/11619","is_oa":true,"landing_page_url":"https://doi.org/10.37236/11619","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i2p51/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7599999904632568}],"awards":[{"id":"https://openalex.org/G102174830","display_name":null,"funder_award_id":"Beatriu de Pin\u00f3s","funder_id":"https://openalex.org/F4320334830","funder_display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca"},{"id":"https://openalex.org/G1419670400","display_name":null,"funder_award_id":"GB-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G1650125035","display_name":null,"funder_award_id":"B-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G2447788411","display_name":null,"funder_award_id":"unknown","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G2549575712","display_name":null,"funder_award_id":"SFB F50","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G3145880764","display_name":null,"funder_award_id":"MTM2017","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G3417140244","display_name":null,"funder_award_id":"CEX2020-001084-M","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G343272511","display_name":null,"funder_award_id":"801370","funder_id":"https://openalex.org/F4320334830","funder_display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca"},{"id":"https://openalex.org/G4063799218","display_name":null,"funder_award_id":"CEX2020-001084-M","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"},{"id":"https://openalex.org/G4538077655","display_name":null,"funder_award_id":"PID2020-113082GB-I00","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G5805502524","display_name":null,"funder_award_id":"PID2020","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G6589649124","display_name":null,"funder_award_id":"PID2020-","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G7053091872","display_name":null,"funder_award_id":"MTM2017-82166-P","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G7361098354","display_name":null,"funder_award_id":"F50-02","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G7978852330","display_name":null,"funder_award_id":"COFUND","funder_id":"https://openalex.org/F4320334830","funder_display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca"},{"id":"https://openalex.org/G8153271282","display_name":null,"funder_award_id":"801370","funder_id":"https://openalex.org/F4320332999","funder_display_name":"Horizon 2020 Framework Programme"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320328447","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31"},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320334830","display_name":"Ag\u00e8ncia de Gesti\u00f3 d'Ajuts Universitaris i de Recerca","ror":"https://ror.org/01n4pqe45"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4382788460.pdf"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1969971703","https://openalex.org/W1996008071","https://openalex.org/W1997149894","https://openalex.org/W2026293786","https://openalex.org/W2030997953","https://openalex.org/W2032139375","https://openalex.org/W2038132192","https://openalex.org/W2050967535","https://openalex.org/W2078935483","https://openalex.org/W2079265093","https://openalex.org/W2083916911","https://openalex.org/W2099787737","https://openalex.org/W2130519984","https://openalex.org/W2242593009","https://openalex.org/W2328363074","https://openalex.org/W2335491319","https://openalex.org/W2963812984","https://openalex.org/W2963855302","https://openalex.org/W2973214222","https://openalex.org/W2980410956","https://openalex.org/W2999060094","https://openalex.org/W3100234712","https://openalex.org/W3104343140","https://openalex.org/W3157135931","https://openalex.org/W3206872566","https://openalex.org/W4224107224","https://openalex.org/W4226229014","https://openalex.org/W4226247885","https://openalex.org/W4300073819","https://openalex.org/W4309554753","https://openalex.org/W4310263388","https://openalex.org/W4386110372","https://openalex.org/W6642686841","https://openalex.org/W6748690250","https://openalex.org/W6767907350","https://openalex.org/W6786303607"],"related_works":["https://openalex.org/W3161230432","https://openalex.org/W1487201914","https://openalex.org/W4206327962","https://openalex.org/W4367190712","https://openalex.org/W280458463","https://openalex.org/W2010009304","https://openalex.org/W2029404707","https://openalex.org/W1170131723","https://openalex.org/W4301429470","https://openalex.org/W2168900540"],"abstract_inverted_index":{"We":[0],"analyse":[1,160],"uniform":[2],"random":[3,60,84,110],"cubic":[4,34,111,125],"rooted":[5],"planar":[6,35],"maps":[7],"and":[8,48,137,152],"obtain":[9,55,64,154],"limiting":[10,91],"distributions":[11],"for":[12,27,80,95,119,138],"several":[13,31],"parameters":[14],"of":[15,20,30,33,67,70,83,98,122,134,141,164],"interest.From":[16],"the":[17,28,65,68,71,96,99,120,123,139,142],"enumerative":[18,57],"point":[19],"view,":[21],"we":[22,62,157],"present":[23],"a":[24,45,90,109,161],"unified":[25],"approach":[26,51],"enumeration":[29],"classes":[32,82],"maps,":[36,61],"which":[37,74,167],"allow":[38],"us":[39,53],"to":[40,54,159],"recover":[41],"known":[42],"results":[43,118,156],"in":[44,108],"more":[46],"general":[47],"transparent":[49],"way.This":[50],"allows":[52],"new":[56,162],"results.":[58],"Concerning":[59],"first":[63],"distribution":[66,93],"degree":[69,135],"root":[72],"face,":[73],"has":[75,168],"an":[76],"exponential":[77],"tail":[78],"as":[79],"other":[81],"maps.":[85],"Our":[86],"main":[87],"result":[88],"is":[89,105],"map-Airy":[92],"law":[94],"size":[97,121,140],"largest":[100,124,143],"block":[101],"$L$,":[102],"whose":[103,146],"expectation":[104],"asymptotically":[106],"$n/\\sqrt{3}$":[107],"map":[112],"with":[113],"$n+2$":[114],"faces.We":[115],"prove":[116],"analogous":[117],"block,":[126],"obtained":[127],"from":[128],"$L$":[129],"by":[130,172],"erasing":[131],"all":[132],"vertices":[133],"two,":[136],"3-connected":[144],"component,":[145],"expected":[147],"values":[148],"are":[149],"respectively":[150],"$n/2$":[151],"$n/4$.To":[153],"these":[155],"need":[158],"type":[163],"composition":[165],"scheme":[166],"not":[169],"been":[170],"treated":[171],"Banderier":[173],"et":[174],"al.":[175],"[Random":[176],"Structures":[177],"Algorithms":[178],"2001].":[179]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}