{"id":"https://openalex.org/W2977135734","doi":"https://doi.org/10.1109/lwc.2019.2957221","title":"On the Contact and Nearest-Neighbor Distance Distributions for the ${n}$ -Dimensional Mat\u00e9rn Cluster Process","display_name":"On the Contact and Nearest-Neighbor Distance Distributions for the ${n}$ -Dimensional Mat\u00e9rn Cluster Process","publication_year":2019,"publication_date":"2019-12-03","ids":{"openalex":"https://openalex.org/W2977135734","doi":"https://doi.org/10.1109/lwc.2019.2957221","mag":"2977135734"},"language":"en","primary_location":{"id":"doi:10.1109/lwc.2019.2957221","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lwc.2019.2957221","pdf_url":null,"source":{"id":"https://openalex.org/S2500830676","display_name":"IEEE Wireless Communications Letters","issn_l":"2162-2337","issn":["2162-2337","2162-2345"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Wireless Communications Letters","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1909.11422","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010853109","display_name":"Kaushlendra Pandey","orcid":"https://orcid.org/0000-0002-1776-9276"},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Kaushlendra Pandey","raw_affiliation_strings":["IIT Kanpur, Kanpur, India","Department of Electrical Engineering, IIT Kanpur, Kanpur, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IIT Kanpur, Kanpur, India","institution_ids":["https://openalex.org/I94234084"]},{"raw_affiliation_string":"Department of Electrical Engineering, IIT Kanpur, Kanpur, India","institution_ids":["https://openalex.org/I94234084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064063671","display_name":"Harpreet S. Dhillon","orcid":"https://orcid.org/0000-0003-2829-9449"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Harpreet S. Dhillon","raw_affiliation_strings":["Wireless@VT, Virginia Tech, Blacksburg, USA","Wireless @VT, Virginia Tech, Blacksburg, VA, USA"],"raw_orcid":"https://orcid.org/0000-0003-2829-9449","affiliations":[{"raw_affiliation_string":"Wireless@VT, Virginia Tech, Blacksburg, USA","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Wireless @VT, Virginia Tech, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100727391","display_name":"Abhishek Gupta","orcid":"https://orcid.org/0000-0002-4282-7407"},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Abhishek K. Gupta","raw_affiliation_strings":["IIT Kanpur, Kanpur, India","Department of Electrical Engineering, IIT Kanpur, Kanpur, India"],"raw_orcid":"https://orcid.org/0000-0002-4282-7407","affiliations":[{"raw_affiliation_string":"IIT Kanpur, Kanpur, India","institution_ids":["https://openalex.org/I94234084"]},{"raw_affiliation_string":"Department of Electrical Engineering, IIT Kanpur, Kanpur, India","institution_ids":["https://openalex.org/I94234084"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15758728,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"9","issue":"3","first_page":"394","last_page":"397"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9945999979972839,"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":0.9945999979972839,"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":0.9864000082015991,"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/T13187","display_name":"Diffusion and Search Dynamics","score":0.9793999791145325,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.7523059248924255},{"id":"https://openalex.org/keywords/k-nearest-neighbors-algorithm","display_name":"k-nearest neighbors algorithm","score":0.680605411529541},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5525335669517517},{"id":"https://openalex.org/keywords/cluster-size","display_name":"Cluster size","score":0.4904601275920868},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.43060770630836487},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.4274277687072754},{"id":"https://openalex.org/keywords/contact-process","display_name":"Contact process (mathematics)","score":0.4180726706981659},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3673378825187683},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36683380603790283},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.31895750761032104},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2012506127357483},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.14095070958137512},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1399678885936737},{"id":"https://openalex.org/keywords/nanotechnology","display_name":"Nanotechnology","score":0.10040983557701111},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.07683631777763367},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.06053420901298523}],"concepts":[{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.7523059248924255},{"id":"https://openalex.org/C113238511","wikidata":"https://www.wikidata.org/wiki/Q1071612","display_name":"k-nearest neighbors algorithm","level":2,"score":0.680605411529541},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5525335669517517},{"id":"https://openalex.org/C3017540586","wikidata":"https://www.wikidata.org/wiki/Q612728","display_name":"Cluster size","level":3,"score":0.4904601275920868},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.43060770630836487},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.4274277687072754},{"id":"https://openalex.org/C134247516","wikidata":"https://www.wikidata.org/wiki/Q5164846","display_name":"Contact process (mathematics)","level":2,"score":0.4180726706981659},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3673378825187683},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36683380603790283},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31895750761032104},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2012506127357483},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.14095070958137512},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1399678885936737},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.10040983557701111},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.07683631777763367},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.06053420901298523},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C86025842","wikidata":"https://www.wikidata.org/wiki/Q5358432","display_name":"Electronic structure","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/lwc.2019.2957221","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lwc.2019.2957221","pdf_url":null,"source":{"id":"https://openalex.org/S2500830676","display_name":"IEEE Wireless Communications Letters","issn_l":"2162-2337","issn":["2162-2337","2162-2345"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Wireless Communications Letters","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1909.11422","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1909.11422","pdf_url":"https://arxiv.org/pdf/1909.11422","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,"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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2977135734","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1909.11422.pdf","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,"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":"doi:10.48550/arxiv.1909.11422","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1909.11422","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,"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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1909.11422","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1909.11422","pdf_url":"https://arxiv.org/pdf/1909.11422","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,"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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2977135734.pdf","grobid_xml":"https://content.openalex.org/works/W2977135734.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1520991158","https://openalex.org/W1922696133","https://openalex.org/W2118166339","https://openalex.org/W2118306826","https://openalex.org/W2288489738","https://openalex.org/W2339070281","https://openalex.org/W2561533016","https://openalex.org/W2753271796","https://openalex.org/W2903566951","https://openalex.org/W2962780424","https://openalex.org/W2962879208","https://openalex.org/W2963281902","https://openalex.org/W2963368779","https://openalex.org/W2963654176","https://openalex.org/W2964267089","https://openalex.org/W3102806519","https://openalex.org/W4254041323"],"related_works":["https://openalex.org/W2962822540","https://openalex.org/W1020335440","https://openalex.org/W2088779313","https://openalex.org/W2072596762","https://openalex.org/W1497311297","https://openalex.org/W2571415506","https://openalex.org/W2115854352","https://openalex.org/W3139705570","https://openalex.org/W2103126319","https://openalex.org/W3173879714","https://openalex.org/W2084354115","https://openalex.org/W1635907167","https://openalex.org/W2121362329","https://openalex.org/W2296066893","https://openalex.org/W2468568002","https://openalex.org/W2978095271","https://openalex.org/W1508520827","https://openalex.org/W2041913883","https://openalex.org/W1496871153","https://openalex.org/W1977417358"],"abstract_inverted_index":{"This":[0],"letter":[1],"provides":[2],"exact":[3],"characterization":[4],"of":[5,46,56],"the":[6,13,53],"contact":[7],"and":[8,25,42],"nearest-neighbor":[9],"distance":[10],"distributions":[11,30],"for":[12],"n-dimensional":[14],"(n-D)":[15],"Mat\u00e9rn":[16],"cluster":[17],"process":[18],"(MCP).":[19],"We":[20],"also":[21],"provide":[22],"novel":[23],"upper":[24],"lower":[26],"bounds":[27],"to":[28,33,52],"these":[29,47],"in":[31],"order":[32],"gain":[34],"useful":[35],"insights":[36],"about":[37],"their":[38],"behavior.":[39],"The":[40],"two":[41],"three":[43],"dimensional":[44],"versions":[45],"results":[48],"are":[49],"directly":[50],"applicable":[51],"performance":[54],"analyses":[55],"wireless":[57],"networks":[58],"modeled":[59],"as":[60],"MCP.":[61]},"counts_by_year":[],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}
