{"id":"https://openalex.org/W2296344829","doi":"https://doi.org/10.1007/978-3-319-25040-3_19","title":"The Extremal Index for a Random Tessellation","display_name":"The Extremal Index for a Random Tessellation","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2296344829","doi":"https://doi.org/10.1007/978-3-319-25040-3_19","mag":"2296344829"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-25040-3_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-25040-3_19","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5038227564","display_name":"Nicolas Chenavier","orcid":"https://orcid.org/0000-0001-7680-4361"},"institutions":[{"id":"https://openalex.org/I2802487185","display_name":"Universit\u00e9 du littoral c\u00f4te d'opale","ror":"https://ror.org/02gdcg342","country_code":"FR","type":"education","lineage":["https://openalex.org/I2802487185"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Nicolas Chenavier","raw_affiliation_strings":["Universit\u00e9 du Littoral C\u00f4te D\u2019Opale, 50 Rue Ferdinand Buisson, Calais, France","Universit\u00e9 du Littoral C\u00f4te D'Opale, 50 Rue Ferdinand Buisson, Calais, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 du Littoral C\u00f4te D\u2019Opale, 50 Rue Ferdinand Buisson, Calais, France","institution_ids":["https://openalex.org/I2802487185"]},{"raw_affiliation_string":"Universit\u00e9 du Littoral C\u00f4te D'Opale, 50 Rue Ferdinand Buisson, Calais, France","institution_ids":["https://openalex.org/I2802487185"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5038227564"],"corresponding_institution_ids":["https://openalex.org/I2802487185"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.14668652,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"171","last_page":"178"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9990000128746033,"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/T12351","display_name":"Geometry and complex manifolds","score":0.9908000230789185,"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"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.989799976348877,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/voronoi-diagram","display_name":"Voronoi diagram","score":0.6934558749198914},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6731467247009277},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.6578608751296997},{"id":"https://openalex.org/keywords/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.5923628807067871},{"id":"https://openalex.org/keywords/tessellation","display_name":"Tessellation (computer graphics)","score":0.5643990635871887},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.4675637185573578},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4660227298736572},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4374859929084778},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.41112589836120605},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3543137311935425},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3295668363571167},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26056674122810364},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14658823609352112}],"concepts":[{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.6934558749198914},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6731467247009277},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.6578608751296997},{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.5923628807067871},{"id":"https://openalex.org/C43817857","wikidata":"https://www.wikidata.org/wiki/Q9357547","display_name":"Tessellation (computer graphics)","level":2,"score":0.5643990635871887},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.4675637185573578},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4660227298736572},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4374859929084778},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.41112589836120605},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3543137311935425},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3295668363571167},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26056674122810364},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14658823609352112}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-319-25040-3_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-25040-3_19","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-03611365v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03611365","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Frank Nielsen; Fr\u00e9d\u00e9ric Barbaresco. Geometric Science of Information Second International Conference, GSI 2015, Palaiseau, France, October 28-30, 2015, Proceedings, 9389, Springer International Publishing, pp.171-178, 2015, : Lecture Notes in Computer Science (LNCS, volume 9389), 978-3-319-25039-7. ⟨10.1007/978-3-319-25040-3_19⟩","raw_type":"Book sections"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W411746464","https://openalex.org/W565214016","https://openalex.org/W630423399","https://openalex.org/W1777490248","https://openalex.org/W1965144608","https://openalex.org/W2000943710","https://openalex.org/W2006166592","https://openalex.org/W2017168731","https://openalex.org/W2079952702","https://openalex.org/W2092924973","https://openalex.org/W2104100203","https://openalex.org/W2104557602","https://openalex.org/W2138310067","https://openalex.org/W2161467796","https://openalex.org/W2297615509","https://openalex.org/W2492055736","https://openalex.org/W2506952443","https://openalex.org/W2509892980","https://openalex.org/W2951682990","https://openalex.org/W3102787992","https://openalex.org/W4239339957"],"related_works":["https://openalex.org/W2354869996","https://openalex.org/W1481755670","https://openalex.org/W2359751290","https://openalex.org/W2206755844","https://openalex.org/W2371448287","https://openalex.org/W2358109229","https://openalex.org/W2096247527","https://openalex.org/W431872879","https://openalex.org/W1997141012","https://openalex.org/W1516845492"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}