The second phase transition of the contact process on a random regular graph
Abstract
The regular tree corresponds to the random regular graph as its local limit. For this reason the famous double phase transition of the contact process on regular tree has been seen to correspond to a phase transition on the large random regular graph, at least at the first critical value where logarithmic epidemics become exponential. We find a new phase transition on that large finite graph at the second critical value: between linear reinfections and reinfections following a long healthy period.
Fields of Study & Subjects
Stochastic processes and statistical mechanics
Theoretical and Computational Physics
Complex Network Analysis Techniques
Publication details
- Journal / source
- Electronic Journal of Probability
- Volume
- 31
- Issue
- none
- Publication date
- 1 January 2026
- Language
- EN