57 citations · 257 across the 30 of their papers we have counts for
5 papers · 1 filter
The Contact Process on Periodic Trees
Xiangying Huang, Rick Durrett
A little over 25 years ago Pemantle pioneered the study of the contact process on trees, and showed that on homogeneous trees the critical values and for global and loc…
Chase-escape with death on trees
Erin Beckman, Keisha Cook, Nicole Eikmeier +2
Chase-escape is a competitive growth process in which red particles spread to adjacent uncolored sites, while blue particles overtake adjacent red particles. We introduce the varia…
Two-type annihilating systems on the complete and star graph
Irina Cristali, Yufeng Jiang, Matthew Junge +3
Red and blue particles are placed in equal proportion through-out either the complete or star graph and iteratively sampled to take simple random walk steps. Mutual annihilation oc…
Critical percolation and A+B --> 2A dynamics
Matthew Junge
We study an interacting particle system in which moving particles activate dormant particles linked by the components of critical bond percolation. Addressing a conjecture from Bec…
SIR epidemics on evolving graphs
Yufeng Jiang, Remy Kassem, Grayson York +2
We consider evoSIR, a variant of the SIR model, on Erd\H os-Renyi random graphs in which susceptibles with an infected neighbor break that connection at rate and rewire to a ra…