{"id":"https://openalex.org/W2963729316","doi":"https://doi.org/10.1214/19-ejp293","title":"Annealed scaling relations for Voronoi percolation","display_name":"Annealed scaling relations for Voronoi percolation","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2963729316","doi":"https://doi.org/10.1214/19-ejp293","mag":"2963729316"},"language":"en","primary_location":{"id":"doi:10.1214/19-ejp293","doi":"https://doi.org/10.1214/19-ejp293","is_oa":true,"landing_page_url":"https://doi.org/10.1214/19-ejp293","pdf_url":"https://projecteuclid.org/journals/electronic-journal-of-probability/volume-24/issue-none/Annealed-scaling-relations-for-Voronoi-percolation/10.1214/19-EJP293.pdf","source":{"id":"https://openalex.org/S181633058","display_name":"Electronic Journal of Probability","issn_l":"1083-6489","issn":["1083-6489"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","jufo-2","norway-1","poland-100","russia-white-list-3"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Journal of Probability","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://projecteuclid.org/journals/electronic-journal-of-probability/volume-24/issue-none/Annealed-scaling-relations-for-Voronoi-percolation/10.1214/19-EJP293.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027911756","display_name":"Hugo Vanneuville","orcid":"https://orcid.org/0000-0002-1532-7052","observed_orcids":["https://orcid.org/0000-0002-1532-7052"]},"institutions":[{"id":"https://openalex.org/I203339264","display_name":"Universit\u00e9 de Lyon","ror":"https://ror.org/01rk35k63","country_code":"FR","type":"education","lineage":["https://openalex.org/I203339264"]},{"id":"https://openalex.org/I4210104796","display_name":"Institut Camille Jordan","ror":"https://ror.org/01ekw7f87","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210104796","https://openalex.org/I4405259976","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Hugo Vanneuville","raw_affiliation_strings":[", Institut Camille Jordan , 69100 Villeurbanne , France ,","Univ. Lyon","ICJ - Institut Camille Jordan (B\u00e2t. Jean Braconnier 43 bd du 11 novembre 1918 69622 VILLEURBANNE CEDEX - France)","PSPM - Probabilit\u00e9s, statistique, physique math\u00e9matique (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":", Institut Camille Jordan , 69100 Villeurbanne , France ,","institution_ids":["https://openalex.org/I4210104796"]},{"raw_affiliation_string":"Univ. Lyon","institution_ids":["https://openalex.org/I203339264"]},{"raw_affiliation_string":"ICJ - Institut Camille Jordan (B\u00e2t. Jean Braconnier 43 bd du 11 novembre 1918 69622 VILLEURBANNE CEDEX - France)","institution_ids":["https://openalex.org/I4210104796"]},{"raw_affiliation_string":"PSPM - Probabilit\u00e9s, statistique, physique math\u00e9matique (France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027911756"],"corresponding_institution_ids":["https://openalex.org/I203339264","https://openalex.org/I4210104796"],"apc_list":{"value":675,"currency":"USD","value_usd":675},"apc_paid":{"value":675,"currency":"USD","value_usd":675},"fwci":2.1123,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.85027527,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":98},"biblio":{"volume":"24","issue":"none","first_page":"1","last_page":"71"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9887999892234802,"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"}},"topics":[{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","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/T10591","display_name":"Theoretical and Computational Physics","score":0.005799999926239252,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.000699999975040555,"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/scaling-laws","display_name":"scaling laws","score":0.6940000057220459},{"id":"https://openalex.org/keywords/continuum-percolation","display_name":"continuum percolation","score":0.9559999704360962},{"id":"https://openalex.org/keywords/planar-percolation","display_name":"planar percolation","score":0.7960000038146973}],"concepts":[{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.769356369972229},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7367910146713257},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.7081618905067444},{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.6939594745635986},{"id":"https://openalex.org/C2729557","wikidata":"https://www.wikidata.org/wiki/Q7167170","display_name":"Percolation threshold","level":3,"score":0.5905348062515259},{"id":"https://openalex.org/C2780457167","wikidata":"https://www.wikidata.org/wiki/Q17156484","display_name":"Percolation (cognitive psychology)","level":2,"score":0.5642684698104858},{"id":"https://openalex.org/C177634923","wikidata":"https://www.wikidata.org/wiki/Q17005777","display_name":"Continuum percolation theory","level":5,"score":0.56419837474823},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5344746708869934},{"id":"https://openalex.org/C158574103","wikidata":"https://www.wikidata.org/wiki/Q7167168","display_name":"Percolation critical exponents","level":4,"score":0.5327923893928528},{"id":"https://openalex.org/C11557063","wikidata":"https://www.wikidata.org/wiki/Q900918","display_name":"Percolation theory","level":3,"score":0.49790024757385254},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.467207133769989},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.46419939398765564},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4565439224243164},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38526785373687744},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3252337574958801},{"id":"https://openalex.org/C164154869","wikidata":"https://www.wikidata.org/wiki/Q901927","display_name":"Critical exponent","level":3,"score":0.263178288936615},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2294611632823944},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.16843083500862122},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13800442218780518},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08420372009277344},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0828668475151062},{"id":"https://openalex.org/C69990965","wikidata":"https://www.wikidata.org/wiki/Q65402698","display_name":"Electrical resistivity and conductivity","level":2,"score":0.060969412326812744},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06051686406135559},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1214/19-ejp293","doi":"https://doi.org/10.1214/19-ejp293","is_oa":true,"landing_page_url":"https://doi.org/10.1214/19-ejp293","pdf_url":"https://projecteuclid.org/journals/electronic-journal-of-probability/volume-24/issue-none/Annealed-scaling-relations-for-Voronoi-percolation/10.1214/19-EJP293.pdf","source":{"id":"https://openalex.org/S181633058","display_name":"Electronic Journal of Probability","issn_l":"1083-6489","issn":["1083-6489"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","jufo-2","norway-1","poland-100","russia-white-list-3"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Journal of Probability","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1806.08452","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1806.08452","pdf_url":"https://arxiv.org/pdf/1806.08452","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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:CULeuclid:euclid.ejp/1554861841","doi":null,"is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.ejp/1554861841","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"pmh:oai:HAL:hal-01828334v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-01828334","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electronic Journal of Probability, 2019, 24 (none), ⟨10.1214/19-EJP293⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1806.08452","doi":"https://doi.org/10.48550/arxiv.1806.08452","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1806.08452","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1214/19-ejp293","doi":"https://doi.org/10.1214/19-ejp293","is_oa":true,"landing_page_url":"https://doi.org/10.1214/19-ejp293","pdf_url":"https://projecteuclid.org/journals/electronic-journal-of-probability/volume-24/issue-none/Annealed-scaling-relations-for-Voronoi-percolation/10.1214/19-EJP293.pdf","source":{"id":"https://openalex.org/S181633058","display_name":"Electronic Journal of Probability","issn_l":"1083-6489","issn":["1083-6489"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","jufo-2","norway-1","poland-100","russia-white-list-3"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Journal of Probability","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2963729316.pdf","grobid_xml":"https://content.openalex.org/works/W2963729316.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1487891262","https://openalex.org/W1569172390","https://openalex.org/W1585547156","https://openalex.org/W1590619386","https://openalex.org/W1639064963","https://openalex.org/W1639194677","https://openalex.org/W1789386170","https://openalex.org/W1919088489","https://openalex.org/W1973212662","https://openalex.org/W2001640886","https://openalex.org/W2016387789","https://openalex.org/W2031047649","https://openalex.org/W2039371968","https://openalex.org/W2068910459","https://openalex.org/W2078345182","https://openalex.org/W2080233228","https://openalex.org/W2081256580","https://openalex.org/W2097612342","https://openalex.org/W2130835223","https://openalex.org/W2131981330","https://openalex.org/W2135622945","https://openalex.org/W2145617053","https://openalex.org/W2156895775","https://openalex.org/W2157902765","https://openalex.org/W2165422922","https://openalex.org/W2182825501","https://openalex.org/W2396170257","https://openalex.org/W2613161350","https://openalex.org/W2744113941","https://openalex.org/W2949874440","https://openalex.org/W2950019662","https://openalex.org/W2962759144","https://openalex.org/W2962908106","https://openalex.org/W2963902600","https://openalex.org/W4249774010","https://openalex.org/W4250226066","https://openalex.org/W4407294191","https://openalex.org/W7214216924"],"related_works":["https://openalex.org/W4407294191","https://openalex.org/W2950989892","https://openalex.org/W3216573734","https://openalex.org/W1639064963","https://openalex.org/W7096787685","https://openalex.org/W3132181025","https://openalex.org/W7098846798","https://openalex.org/W3107915677","https://openalex.org/W7098533348","https://openalex.org/W2159029492"],"abstract_inverted_index":{"We":[0,25],"prove":[1],"annealed":[2,47,74],"scaling":[3,33],"relations":[4,34],"for":[5,20,35],"planar":[6],"Voronoi":[7],"percolation.":[8],"To":[9],"our":[10],"knowledge,":[11],"this":[12,18],"is":[13],"the":[14,30,42,53,69,80,83,90],"first":[15],"result":[16],"of":[17,32,71,76,82,87],"kind":[19],"a":[21],"continuum":[22],"percolation":[23,37],"model.":[24],"are":[26],"mostly":[27],"inspired":[28],"by":[29,38,50,58],"proof":[31],"Bernoulli":[36],"Kesten":[39],"[22].":[40],"Along":[41],"way,":[43],"we":[44],"show":[45],"an":[46],"quasi-multiplicativity":[48],"property":[49,56,86],"relying":[51],"on":[52],"quenched":[54,72,84],"box-crossing":[55,85],"proved":[57],"Ahlberg,":[59],"Griffiths,":[60],"Morris":[61],"and":[62,73,79],"Tassion":[63],"[3].":[64],"Intermediate":[65],"results":[66],"also":[67],"include":[68],"study":[70],"notions":[75],"pivotal":[77],"events":[78],"extension":[81],"[3]":[88],"to":[89],"near-critical":[91],"regime.":[92]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2019-07-30T00:00:00"}