137 citations · 493 across the 26 of their papers we have counts for
28 papers
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…
Explicit solutions of the SI and Bass models on sparse Erdős-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 Erdős-Rényi networks and on -regular networks. Th…
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…
Diffusion of new products with heterogeneous consumers
Gadi Fibich, Amit Golan
Does a new product spread faster among heterogeneous or homogeneous consumers? We analyze this question using the stochastic discrete Bass model, in which consumers may differ in t…
Exact description of SIR-Bass epidemics on 1D lattices
Gadi Fibich, Samuel Nordmann
This paper is devoted to the study of a stochastic epidemiological model which is a variant of the SIR model to which we add an extra factor in the transition rate from susceptible…
Loss of Physical Reversibility in Reversible Systems
Amir Sagiv, Adi Ditkowski, Roy H. Goodman +1
A dynamical system is said to be reversible if, given an output, the input can always be recovered in a well-posed manner. Nevertheless, we argue that reversible systems that have…