{"id":"https://openalex.org/W2911983703","doi":"https://doi.org/10.37236/8623","title":"Universality for Random Surfaces in Unconstrained Genus","display_name":"Universality for Random Surfaces in Unconstrained Genus","publication_year":2019,"publication_date":"2019-10-11","ids":{"openalex":"https://openalex.org/W2911983703","doi":"https://doi.org/10.37236/8623","mag":"2911983703"},"language":"en","primary_location":{"id":"doi:10.37236/8623","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8623","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i4p2/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":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i4p2/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037364136","display_name":"Thomas Budzinski","orcid":null},"institutions":[{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]},{"id":"https://openalex.org/I4210103330","display_name":"\u00c9cole Normale Sup\u00e9rieure","ror":"https://ror.org/01dp7jr64","country_code":"BI","type":"education","lineage":["https://openalex.org/I4210103330"]},{"id":"https://openalex.org/I4210149507","display_name":"\u00c9cole des Neurosciences de Paris","ror":"https://ror.org/05re0sm29","country_code":"FR","type":"other","lineage":["https://openalex.org/I39804081","https://openalex.org/I4210149507"]}],"countries":["BI","FR"],"is_corresponding":true,"raw_author_name":"Thomas Budzinski","raw_affiliation_strings":["ENS Paris","\u00c9cole Normale Superieure"],"affiliations":[{"raw_affiliation_string":"ENS Paris","institution_ids":["https://openalex.org/I4210149507","https://openalex.org/I29607241"]},{"raw_affiliation_string":"\u00c9cole Normale Superieure","institution_ids":["https://openalex.org/I4210103330"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107933108","display_name":"Nicolas Curien","orcid":null},"institutions":[{"id":"https://openalex.org/I185839726","display_name":"Institut Universitaire de France","ror":"https://ror.org/055khg266","country_code":"FR","type":"education","lineage":["https://openalex.org/I185839726"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nicolas Curien","raw_affiliation_strings":["Universit\u00e9 Paris-Saclay and Institut Universitaire de France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Saclay and Institut Universitaire de France","institution_ids":["https://openalex.org/I185839726","https://openalex.org/I277688954"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001490932","display_name":"Bram Petri","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bram Petri","raw_affiliation_strings":["Universit\u00e4t Bonn","University of Bonn >  >  >  >"],"affiliations":[{"raw_affiliation_string":"Universit\u00e4t Bonn","institution_ids":["https://openalex.org/I135140700"]},{"raw_affiliation_string":"University of Bonn >  >  >  >","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5037364136"],"corresponding_institution_ids":["https://openalex.org/I29607241","https://openalex.org/I4210103330","https://openalex.org/I4210149507"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.0842315,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"26","issue":"4","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":0.9941999912261963,"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":0.9941999912261963,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/mathematics","display_name":"Mathematics","score":0.6774348020553589},{"id":"https://openalex.org/keywords/universality","display_name":"Universality (dynamical systems)","score":0.6569869518280029},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.627463161945343},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6203024983406067},{"id":"https://openalex.org/keywords/random-sequence","display_name":"Random sequence","score":0.4951256811618805},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.49097636342048645},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.4421299993991852},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.4245580732822418},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.4222652316093445},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3978598415851593},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37083667516708374},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16631367802619934},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14638599753379822},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10006654262542725},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07509109377861023}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6774348020553589},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.6569869518280029},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.627463161945343},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6203024983406067},{"id":"https://openalex.org/C186515451","wikidata":"https://www.wikidata.org/wiki/Q228191","display_name":"Random sequence","level":3,"score":0.4951256811618805},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.49097636342048645},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.4421299993991852},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.4245580732822418},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4222652316093445},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3978598415851593},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37083667516708374},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16631367802619934},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14638599753379822},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10006654262542725},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07509109377861023},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.37236/8623","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8623","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i4p2/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:arXiv.org:1902.01308","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.01308","pdf_url":"https://arxiv.org/pdf/1902.01308","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:2911983703","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1902.01308.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:HAL:hal-03287385v1","is_oa":false,"landing_page_url":"https://universite-paris-saclay.hal.science/hal-03287385","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The Electronic Journal of Combinatorics, 2019, 26 (4), &#x27E8;10.37236/8623&#x27E9;","raw_type":"Journal articles"},{"id":"doi:10.48550/arxiv.1902.01308","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1902.01308","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:10.37236/8623","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8623","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i4p2/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":[{"score":0.5799999833106995,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G2729499186","display_name":null,"funder_award_id":"ANR-14-CE25-001","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G4434454586","display_name":null,"funder_award_id":"ANR-14-CE25-0014","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6851345361","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8238292487","display_name":null,"funder_award_id":"14-CE25","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G904370389","display_name":null,"funder_award_id":"14-CE25-0014","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2911983703.pdf","grobid_xml":"https://content.openalex.org/works/W2911983703.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1585244820","https://openalex.org/W1638801631","https://openalex.org/W1963969361","https://openalex.org/W1997698259","https://openalex.org/W2005596072","https://openalex.org/W2019070040","https://openalex.org/W2027167649","https://openalex.org/W2034573815","https://openalex.org/W2091476183","https://openalex.org/W2097532582","https://openalex.org/W2114349008","https://openalex.org/W2297441690","https://openalex.org/W2590631470","https://openalex.org/W2618749536","https://openalex.org/W2963014963","https://openalex.org/W3098932440","https://openalex.org/W3099517722"],"related_works":["https://openalex.org/W2999799655","https://openalex.org/W3100868768","https://openalex.org/W3098932440","https://openalex.org/W3119795247","https://openalex.org/W2952738468","https://openalex.org/W2950577346","https://openalex.org/W2969396311","https://openalex.org/W3101499649","https://openalex.org/W2767102734","https://openalex.org/W3184599918","https://openalex.org/W2891925828","https://openalex.org/W1546866867","https://openalex.org/W2159850099","https://openalex.org/W2763730374","https://openalex.org/W1877846195","https://openalex.org/W2517243395","https://openalex.org/W2911491900","https://openalex.org/W3214535663","https://openalex.org/W1558271034","https://openalex.org/W3043042578"],"abstract_inverted_index":{"Starting":[0],"from":[1],"an":[2,15,84],"arbitrary":[3],"sequence":[4,43],"of":[5,33,36,44,75,87,91,94,106,112,132,147],"polygons":[6,37],"whose":[7],"total":[8,54],"perimeter":[9],"is":[10,50],"$2n$,":[11],"we":[12,38,82,119,142],"can":[13],"build":[14],"(oriented)":[16],"surface":[17],"by":[18,128],"pairing":[19],"their":[20],"sides":[21],"in":[22,53,124,155,164],"a":[23,60,88,122,133,148,158],"uniform":[24,134],"fashion.":[25],"Chmutov":[26,95],"&amp;":[27,96],"Pittel":[28,97],"have":[29],"shown":[30],"that,":[31],"regardless":[32],"the":[34,41,45,76,92,104,109,125,130,145],"configuration":[35],"started":[39],"with,":[40],"degree":[42],"graph":[46,77],"obtained":[47],"this":[48,117],"way":[49],"remarkably":[51],"constant":[52],"variation":[55],"distance":[56],"and":[57,101],"converges":[58,154],"towards":[59,157],"Poisson\u2013Dirichlet":[61],"partition":[62],"as":[63],"$n":[64],"\\to":[65],"\\infty$.":[66],"We":[67],"actually":[68],"show":[69,143],"that":[70,144],"several":[71],"other":[72],"geometric":[73],"properties":[74,131],"are":[78],"universal.":[79],"En":[80],"route":[81],"provide":[83],"alternative":[85],"proof":[86],"weak":[89],"version":[90],"result":[93],"using":[98],"probabilistic":[99],"techniques":[100],"related":[102],"to":[103],"circle":[105],"ideas":[107],"around":[108],"peeling":[110],"process":[111],"random":[113,135,149,159],"planar":[114],"maps.":[115],"At":[116],"occasion":[118],"also":[120],"fill":[121],"gap":[123],"existing":[126],"literature":[127],"surveying":[129],"map":[136,150],"with":[137,151],"$n$":[138,152],"edges.":[139],"In":[140],"particular":[141],"diameter":[146],"edges":[153],"law":[156],"variable":[160],"taking":[161],"only":[162],"values":[163],"$\\{2,3\\}$.":[165]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}
