A three-scale urn model of origin-destination trips converges to a universal mixed-Poisson law in the large sparse limit, yielding analytic formulas for occupancy, vacancy, coverage, and overflow.
Barthelemy, The structure and dynamics of cities, Cambridge University Press, 2016
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Urn Modeling of Random Graphs Across Granularity Scales: A Framework for Origin-Destination Human Mobility Networks
A three-scale urn model of origin-destination trips converges to a universal mixed-Poisson law in the large sparse limit, yielding analytic formulas for occupancy, vacancy, coverage, and overflow.