{"paper":{"title":"A Spatial Model of City Growth and Formation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an"],"primary_cat":"physics.soc-ph","authors_text":"Bowen Huang, David Aldous","submitted_at":"2012-09-23T22:26:27Z","abstract_excerpt":"We introduce a model in which city populations grow at rates proportional to the area of their \"sphere of influence\", where the influence of a city depends on its population (to power \\alpha) and distance from city (to power -\\beta) and where new cities arise according to a certain random rule. A simple non-rigorous analysis of asymptotics indicates that for \\beta > 2\\alpha$ the system exhibits \"balanced growth\" in which there are an increasing number of large cities, whose populations have the same order of magnitude, whereas for \\beta < 2\\alpha$ the system exhibits \"unbalanced growth\" in whi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.5120","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"}