Random walk, cluster growth, and the morphology of urban conglomerations
M. Pica Ciamarra, A. Coniglio
Abstract
We propose a new model of cluster growth according to which the probability that a new unit is placed in a point at a distance r from the city center is a Gaussian with mean equal to the cluster radius and variance proportional to the mean, modulated by the local density ρ(r). The model is analytically solvable in d=2 dimensions, where the density profile varies as a complementary error function. The model reproduces experimental observations relative to the morphology of cities, determined via an original analysis of digital maps with a very high spatial resolution, and helps understanding the emergence of vehicular traffic.
Create a lesson
Related papers
Distinct routes to phase transitions in spatial activation systems
Jialu Zhang, Guanyu Zhang, Leyang Xue et al.
District-Level Food Environment Indicators and Social Vulnerability in São Paulo
Pedro Lemes Sixel Lobo, Eric Tokuda, Kuruvilla Joseph Abraham et al.
Prompt Sensitivity of Generative Agents: Evidence from an Epidemic Model
Ross Williams, Niyousha Hosseinichimeh
Giant strongly biconnected components of directed networks: a generating function approach
Minsoo Yang, Reinhard Laubenbacher, Byungjoon Min
(k,n)-core percolation on hypergraphs with anchor nodes
Hoseung Jang, Byungjoon Min, Ginestra Bianconi
The complex relationship between anti-immigrant sentiment and exposure in the Netherlands
Benedikt Meylahn, Tommaso Giommoni, Mike Lees et al.