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cond-mat.stat-mech2007
Spatial Transportation Networks with Transfer Costs: Asymptotic Optimality of Hub and Spoke Models
David Aldous
Consider networks on vertices at average density 1 per unit area. We seek a network that minimizes total length subject to some constraint on journey times, averaged over sourc…
cond-mat.stat-mech2005
Percolation-like Scaling Exponents for Minimal Paths and Trees in the Stochastic Mean Field Model
David J. Aldous
In the mean field (or random link) model there are points and inter-point distances are independent random variables. For and in the limit, l…