6533b7d5fe1ef96bd1263b29
RESEARCH PRODUCT
A topological phase transition between small-worlds and fractal scaling in urban railway transportation networks?
Antonio Doménechsubject
Statistics and ProbabilityFractalFractal scalingData analysisSmall worldsRailway transportationTopological orderDiachronousStatistical physicsTotal populationCondensed Matter PhysicsMathematicsdescription
Abstract Fractal and small-worlds scaling laws are applied to study the growth of urban railway transportation networks using total length and total population as observational parameters. In spite of the variety of populations and urban structures, the variation of the total length of the railway network with the total population of conurbations follows similar patterns for large and middle metropolis. Diachronous analysis of data for urban transportation networks suggests that there is second-order phase transition from small-worlds behaviour to fractal scaling during their early stages of development.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-11-01 | Physica A: Statistical Mechanics and its Applications |