{"id":"https://openalex.org/W1970804496","doi":"https://doi.org/10.1109/wiopt.2009.5291572","title":"Palm calculus for stationary Cox processes on iterated random tessellations","display_name":"Palm calculus for stationary Cox processes on iterated random tessellations","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W1970804496","doi":"https://doi.org/10.1109/wiopt.2009.5291572","mag":"1970804496"},"language":"en","primary_location":{"id":"doi:10.1109/wiopt.2009.5291572","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wiopt.2009.5291572","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks","raw_type":"proceedings-article"},"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":null,"display_name":"F. Voss","orcid":null},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"F. Voss","raw_affiliation_strings":["Institute of Stochastics, ULM University, Ulm, Germany","Institute of Stochastics, Ulm University, Helmholtzstra\u00dfe 18, 89069, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Stochastics, ULM University, Ulm, Germany","institution_ids":[]},{"raw_affiliation_string":"Institute of Stochastics, Ulm University, Helmholtzstra\u00dfe 18, 89069, Germany","institution_ids":["https://openalex.org/I196349391"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053891417","display_name":"Catherine Gloaguen","orcid":null},"institutions":[{"id":"https://openalex.org/I19370010","display_name":"Orange (France)","ror":"https://ror.org/035j0tq82","country_code":"FR","type":"company","lineage":["https://openalex.org/I19370010"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"C. Gloaguen","raw_affiliation_strings":["Orange Laboratories, Issy-les-Moulineaux, France","Orange Labs, 38-40 rue du G\u00e9n\u00e9ral Leclerc, 92131 Issy-les-Moulineaux, France"],"affiliations":[{"raw_affiliation_string":"Orange Laboratories, Issy-les-Moulineaux, France","institution_ids":["https://openalex.org/I19370010"]},{"raw_affiliation_string":"Orange Labs, 38-40 rue du G\u00e9n\u00e9ral Leclerc, 92131 Issy-les-Moulineaux, France","institution_ids":["https://openalex.org/I19370010"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112802139","display_name":"Volker Schmidt","orcid":null},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"V. Schmidt","raw_affiliation_strings":["Institute of Stochastics, ULM University, Ulm, Germany","Institute of Stochastics, Ulm University, Helmholtzstra\u00dfe 18, 89069, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Stochastics, ULM University, Ulm, Germany","institution_ids":[]},{"raw_affiliation_string":"Institute of Stochastics, Ulm University, Helmholtzstra\u00dfe 18, 89069, Germany","institution_ids":["https://openalex.org/I196349391"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I196349391"],"apc_list":null,"apc_paid":null,"fwci":1.2141,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.74433657,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"35","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9976000189781189,"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":0.9976000189781189,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9926000237464905,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.991599977016449,"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/combinatorics","display_name":"Combinatorics","score":0.4588310420513153},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4505052864551544},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3905121684074402},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35796108841896057},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3440391421318054},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32284677028656006}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4588310420513153},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4505052864551544},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3905121684074402},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35796108841896057},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3440391421318054},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32284677028656006}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/wiopt.2009.5291572","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wiopt.2009.5291572","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6499999761581421,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W565214016","https://openalex.org/W1519822382","https://openalex.org/W1552861460","https://openalex.org/W1983436429","https://openalex.org/W1983948765","https://openalex.org/W2011270663","https://openalex.org/W2019927617","https://openalex.org/W2041281626","https://openalex.org/W2052197092","https://openalex.org/W2054402644","https://openalex.org/W2065765415","https://openalex.org/W2075717793","https://openalex.org/W2088521668","https://openalex.org/W2118166339","https://openalex.org/W2122945599","https://openalex.org/W2134858037","https://openalex.org/W2137775453","https://openalex.org/W2145873277","https://openalex.org/W2157552453","https://openalex.org/W2168428394","https://openalex.org/W2317392131","https://openalex.org/W2341223996","https://openalex.org/W2477449700","https://openalex.org/W2797024182","https://openalex.org/W4239339957","https://openalex.org/W6631067712","https://openalex.org/W6646287122"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"We":[0,88],"investigate":[1],"Cox":[2,23,69,183],"processes":[3,24,70,184],"of":[4,18,34,49,56,67,82,98,117,202,211],"random":[5,19,74,85],"point":[6],"patterns":[7],"in":[8,27,195],"the":[9,16,28,46,50,54,63,80,94,102,110,199,220],"Euclidean":[10],"plane,":[11],"which":[12,100,206],"are":[13,77,139,207],"located":[14],"on":[15,73,185],"edges":[17,81],"geometric":[20],"graphs.":[21],"Such":[22],"have":[25],"applications":[26],"performance":[29,209],"analysis":[30],"and":[31,37,109,129,159,232],"strategic":[32],"planning":[33],"both":[35,149],"wireless":[36],"wired":[38],"telecommunication":[39,212],"networks.":[40,213],"They":[41],"simultaneously":[42],"allow":[43],"to":[44,141,197],"represent":[45],"underlying":[47],"infrastructure":[48],"network":[51,57],"together":[52],"with":[53],"locations":[55],"components.":[58],"In":[59,214],"particular,":[60],"we":[61,138,218],"analyze":[62],"Palm":[64,95,123,161],"version":[65,96],"X*":[66,147,178],"stationary":[68],"X":[71],"living":[72],"graphs":[75],"that":[76,223],"built":[78],"by":[79],"an":[83],"iterated":[84],"tessellation":[86,104,112,231],"T.":[87],"derive":[89],"a":[90,143,215,229,238],"representation":[91],"formula":[92],"for":[93,146,177,182,193],"T*":[97,125,130,163,168],"T":[99,105,113,118,150,155,224,233],"includes":[101],"initial":[103],"<sub":[106,114,126,131,151,156,164,169,225,234],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[107,115,127,132,152,157,165,170,226,235],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">0</sub>":[108,128,153,166,227],"component":[111],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[116,133,158,171,236],"as":[119,121],"well":[120],"their":[122,160],"versions":[124,162],".":[134],"Using":[135],"this":[136],"formula,":[137],"able":[140],"construct":[142],"simulation":[144],"algorithm":[145,176],"if":[148],",":[154,167],"can":[172,190],"be":[173,191],"simulated.":[174],"This":[175],"extends":[179],"earlier":[180],"results":[181],"simpler":[186],"(non-iterated)":[187],"tessellations.":[188],"It":[189],"used,":[192],"example,":[194],"order":[196],"estimate":[198],"probability":[200],"densities":[201],"various":[203],"connection":[204],"distances,":[205],"important":[208],"characteristics":[210],"numerical":[216],"study":[217],"consider":[219],"particular":[221],"case":[222],"is":[228,237],"Poisson-Voronoi":[230],"Poisson":[239],"line":[240],"tessellation.":[241]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-25T23:56:10.502304","created_date":"2025-10-10T00:00:00"}
