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Direct, physically motivated derivation of triggering probabilities for spreading processes on generalized random networks
Kameron Decker Harris, Joshua L. Payne, Peter Sheridan Dodds
We derive a general expression for the probability of global spreading starting from a single infected seed for contagion processes acting on generalized, correlated random network…
Direct, physically-motivated derivation of the contagion condition for spreading processes on generalized random networks
Peter Sheridan Dodds, Kameron Decker Harris, Joshua L. Payne
For a broad range single-seed contagion processes acting on generalized random networks, we derive a unifying analytic expression for the possibility of global spreading events in…
Universal behavior in a generalized model of contagion
P. S. Dodds, D. J. Watts
Models of contagion arise broadly both in the biological and social sciences, with applications ranging from the transmission of infectious diseases to the diffusion of innovations…
Packing-limited growth of irregular objects
Peter Sheridan Dodds, Joshua Weitz
We study growth limited by packing for irregular objects in two dimensions. We generate packings by seeding objects randomly in time and space and allowing each object to grow unti…
Identity and Search in Social Networks
D. J. Watts, P. S. Dodds, M. E. J. Newman
Social networks have the surprising property of being "searchable": Ordinary people are capable of directing messages through their network of acquaintances to reach a specific but…