3 papers
physics.soc-ph2025
A phase transition in the Susceptible-Infected model on hypernetworks
Gadi Fibich, Guy Rothmann
We derive the master equations for the Susceptible-Infected (SI) model on general hypernetworks with~-body interactions. We solve these equations exactly for infinite~-regula…
math.PR2024
Explicit solutions of the SI and Bass models on sparse ErdÅs-Rényi and regular networks
Gadi Fibich, Yonatan Warman
We derive explicit expressions for the expected adoption and infection level in the Bass and SI models, respectively, on sparse ErdÅs-Rényi networks and on -regular networks.…
physics.soc-ph2024
Explicit solutions of the Bass and SI models on hypernetworks
Gadi Fibich, Juan G. Restrepo, Guy Rothmann
We analyze the Bass model and the Susceptible-Infected (SI) model on hypergraphs with 3-body interactions. We derive the master equations for general hypernetworks, and use them to…