{"id":"https://openalex.org/W4404553596","doi":"https://doi.org/10.1214/23-aihp1396","title":"Existence and uniqueness of the conformally covariant volume measure on conformal loop ensembles","display_name":"Existence and uniqueness of the conformally covariant volume measure on conformal loop ensembles","publication_year":2024,"publication_date":"2024-11-01","ids":{"openalex":"https://openalex.org/W4404553596","doi":"https://doi.org/10.1214/23-aihp1396"},"language":"fr","primary_location":{"id":"doi:10.1214/23-aihp1396","doi":"https://doi.org/10.1214/23-aihp1396","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1214/23-aihp1396","pdf_url":null,"source":{"id":"https://openalex.org/S4210228960","display_name":"Annales de l Institut Henri Poincar\u00e9 Probabilit\u00e9s et Statistiques","issn_l":"0246-0203","issn":["0246-0203","1778-7017"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","jufo-2","norway-1","poland-140","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319881","host_organization_name":"Institute of Mathematical Statistics","host_organization_lineage":["https://openalex.org/P4310319881"],"host_organization_lineage_names":["Institute of Mathematical Statistics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annales de l'Institut Henri Poincar\u00e9, Probabilit\u00e9s et Statistiques","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111464725","display_name":"Jason Miller","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jason Miller","raw_affiliation_strings":["Statslab, Centre for Mathematical Sciences, University of Cambridge, Cambridge, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Statslab, Centre for Mathematical Sciences, University of Cambridge, Cambridge, United Kingdom","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048124613","display_name":"Lukas Schoug","orcid":"https://orcid.org/0000-0003-2547-6059","observed_orcids":["https://orcid.org/0000-0003-2547-6059"]},"institutions":[{"id":"https://openalex.org/I133731052","display_name":"University of Helsinki","ror":"https://ror.org/040af2s02","country_code":"FI","type":"education","lineage":["https://openalex.org/I133731052"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Lukas Schoug","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Helsinki, Helsinki, Finland"],"raw_orcid":"https://orcid.org/0000-0003-2547-6059","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Helsinki, Helsinki, Finland","institution_ids":["https://openalex.org/I133731052"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6467,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66016665,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":96},"biblio":{"volume":"60","issue":"4","first_page":"2267","last_page":"2296"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9580000042915344,"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":0.9580000042915344,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.024399999529123306,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.0013000000035390258,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conformal-loop-ensembles","display_name":"conformal loop ensembles","score":0.9869999885559082},{"id":"https://openalex.org/keywords/markov-property","display_name":"Markov property","score":0.7590000033378601},{"id":"https://openalex.org/keywords/liouville-quantum-gravity","display_name":"Liouville quantum gravity","score":0.8560000061988831},{"id":"https://openalex.org/keywords/schramm-loewner-evolution","display_name":"Schramm-Loewner evolution","score":0.9459999799728394},{"id":"https://openalex.org/keywords/random-planar-maps","display_name":"random planar maps","score":0.6399999856948853}],"concepts":[{"id":"https://openalex.org/C9136319","wikidata":"https://www.wikidata.org/wiki/Q362640","display_name":"Covariant transformation","level":2,"score":0.9192530512809753},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.8001848459243774},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.7653917074203491},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.703241229057312},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.49628573656082153},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4404109716415405},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.4398617744445801},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.40949082374572754},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.39913493394851685},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28721749782562256},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15676549077033997},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13330486416816711},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.113596111536026},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.07503193616867065}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1214/23-aihp1396","doi":"https://doi.org/10.1214/23-aihp1396","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1214/23-aihp1396","pdf_url":null,"source":{"id":"https://openalex.org/S4210228960","display_name":"Annales de l Institut Henri Poincar\u00e9 Probabilit\u00e9s et Statistiques","issn_l":"0246-0203","issn":["0246-0203","1778-7017"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-a","jufo-2","norway-1","poland-140","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319881","host_organization_name":"Institute of Mathematical Statistics","host_organization_lineage":["https://openalex.org/P4310319881"],"host_organization_lineage_names":["Institute of Mathematical Statistics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annales de l'Institut Henri Poincar\u00e9, Probabilit\u00e9s et Statistiques","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1515397307","https://openalex.org/W1551488096","https://openalex.org/W1571200759","https://openalex.org/W1584610335","https://openalex.org/W1592052990","https://openalex.org/W1684407388","https://openalex.org/W1767750567","https://openalex.org/W1781718690","https://openalex.org/W1974133453","https://openalex.org/W2008137962","https://openalex.org/W2025576014","https://openalex.org/W2045180462","https://openalex.org/W2048825720","https://openalex.org/W2049505848","https://openalex.org/W2051515698","https://openalex.org/W2060090701","https://openalex.org/W2064172776","https://openalex.org/W2067662980","https://openalex.org/W2098932612","https://openalex.org/W2100137038","https://openalex.org/W2140070677","https://openalex.org/W2148139524","https://openalex.org/W2156895775","https://openalex.org/W2161319037","https://openalex.org/W2168122903","https://openalex.org/W2237459997","https://openalex.org/W2349285619","https://openalex.org/W2387298132","https://openalex.org/W2406858734","https://openalex.org/W2605906613","https://openalex.org/W2746409993","https://openalex.org/W2942932816","https://openalex.org/W2949895073","https://openalex.org/W2951944263","https://openalex.org/W2954681425","https://openalex.org/W2963341918","https://openalex.org/W2991589566","https://openalex.org/W3006249358","https://openalex.org/W3008568131","https://openalex.org/W3017358521","https://openalex.org/W3037316786","https://openalex.org/W3037618915","https://openalex.org/W3091810043","https://openalex.org/W3094268120","https://openalex.org/W3097541934","https://openalex.org/W3165612657","https://openalex.org/W4210758810","https://openalex.org/W4211219251","https://openalex.org/W4245728923","https://openalex.org/W4247588708"],"related_works":["https://openalex.org/W2444117518","https://openalex.org/W4407386059","https://openalex.org/W4404552773","https://openalex.org/W1767750567","https://openalex.org/W7097889348","https://openalex.org/W4403783989","https://openalex.org/W7097463950","https://openalex.org/W1799423362","https://openalex.org/W7154589209","https://openalex.org/W2247383200"],"abstract_inverted_index":{"Nous":[0],"prouvons":[1],"l\u2019existence":[2,42],"et":[3,11,24,68],"l\u2019unicit\u00e9":[4],"de":[5,8,19,29,36,38,43,52,56,72,79,92],"la":[6,27,39,44,53,76],"mesure":[7,45],"volume":[9],"canonique":[10,46],"conform\u00e9ment":[12],"covariante":[13],"sur":[14],"le":[15,32,50,62,89,95],"tapis/tamis":[16],"d\u2019un":[17],"ensemble":[18],"boucles":[20],"conformes":[21],"(CLE\u03ba,":[22],"\u03ba\u2208(8/3,8)),":[23],"qui":[25,87],"v\u00e9rifie":[26],"propri\u00e9t\u00e9":[28],"Markov":[30],"pour":[31,81],"CLE.":[33],"Le":[34],"point":[35],"d\u00e9part":[37],"construction":[40],"est":[41],"du":[47],"CLE":[48],"dans":[49,94],"contexte":[51],"gravit\u00e9":[54],"quantique":[55],"Liouville":[57],"(LQG)":[58],"pr\u00e9c\u00e9demment":[59],"construite":[60],"par":[61],"premier":[63],"auteur":[64],"ainsi":[65],"que":[66],"Sheffield":[67],"Werner.":[69],"En":[70],"guise":[71],"pr\u00e9ambule,":[73],"nous":[74],"construisons":[75],"param\u00e9trisation":[77],"naturelle":[78],"SLE\u03ba":[80],"\u03ba\u2208(4,8)":[82],"en":[83],"utilisant":[84],"LQG,":[85],"ce":[86],"compl\u00e8te":[88],"travail":[90],"ant\u00e9rieur":[91],"Benoist":[93],"cas":[96],"\u03ba\u2208(0,4).":[97]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-10-20T09:52:01.089006","created_date":"2024-11-21T00:00:00"}