most citedFunnel Theorems for Spreading on Networks

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physics.soc-ph2024

Funnel theorems for spreading on networks

Gadi Fibich, Tomer Levin, Steven Schochet

We derive novel analytic tools for the Bass and SI models on networks for the spreading of innovations and epidemics on networks. We prove that the correlation between the nonadopt…

physics.soc-ph2024

Boundary Effects in the Diffusion of New Products on Cartesian Networks

Gadi Fibich, Tomer Levin, Kenneth Gillingham

We analyze the effect of boundaries in the discrete Bass model on D-dimensional Cartesian networks. In 2D, this model describes the diffusion of new products that spread primarily…