{"paper":{"title":"A case study on regularity in cellular network deployment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NI"],"primary_cat":"math.PR","authors_text":"Ana\\\"is Vergne (LTCI), Aur\\'elien Vasseur (LTCI), Jean-S\\'ebastien Gomez (LTCI), Laurent Decreusefond (LTCI), Philippe Martins (LTCI), Wei Chen","submitted_at":"2015-05-22T13:38:07Z","abstract_excerpt":"This paper aims to validate the $\\beta$-Ginibre point process as a model for the distribution of base station locations in a cellular network. The $\\beta$-Ginibre is a repulsive point process in which repulsion is controlled by the $\\beta$ parameter. When $\\beta$ tends to zero, the point process converges in law towards a Poisson point process. If $\\beta$ equals to one it becomes a Ginibre point process. Simulations on real data collected in Paris (France) show that base station locations can be fitted with a $\\beta$-Ginibre point process. Moreover we prove that their superposition tends to a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06073","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}