3 papers
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…
math.PR2023
Universal Bounds for Spreading on Networks
Gadi Fibich, Tomer Levin
Spreading (diffusion) of innovations is a stochastic process on social networks. When the key driving mechanism is peer effects (word of mouth), the rate at which the aggregate ado…