2 papers
cond-mat.stat-mech2024
The SIS process on Erdös-Rényi graphs: determining the infected fraction
O. S. Awolude, H. Don, E. Cator
There are many methods to estimate the quasi-stationary infected fraction of the SIS process on (random) graphs. A challenge is to adequately incorporate correlations, which is esp…
math.PR2023
Random walks on with metastable Gaussian distribution caused by linear drift with application to the contact process on the complete graph
O. S. Awolude, E. Cator, H. Don
We study random walks on which have a linear (or almost linear) drift towards 0 in a range around 0. This drift leads to a metastable Gaussian distribution centered at…