57 citations · 257 across the 30 of their papers we have counts for
40 papers
Diffusion-limited annihilating-coalescing systems
Sungwon Ahn, Matthew Junge, Hanbaek Lyu +3
We study a family of interacting particle systems with annihilating and coalescing reactions. Two types of particles are interspersed throughout a transitive unimodular graph. Both…
Critical drift estimates for the frog model on trees
Emma Bailey, Matthew Junge, Jiaqi Liu
Place an active particle at the root of a -ary tree and a single dormant particle at each non-root site. In discrete time, active particles move towards the root with probabilit…
Non-universality in clustered ballistic annihilation
Matthew Junge, Arturo Ortiz San Miguel, Lily Reeves +1
In ballistic annihilation, infinitely many particles with randomly assigned velocities move across the real line and mutually annihilate upon contact. We introduce a variant with s…
Arrivals are universal in coalescing ballistic annihilation
Darío Cruzado Padró, Matthew Junge, Lily Reeves
Coalescing ballistic annihilation is an interacting particle system intended to model features of certain chemical reactions. Particles are placed with independent and identically…
Distance-dependent chase-escape on trees
Sarai Hernandez-Torres, Matthew Junge, Naina Ray +1
We give a necessary and sufficient condition for species coexistence in a parasite-host growth process on infinite -ary trees. The novelty of this work is that the spreading and…
A stochastic combustion model with thresholds on trees
Matthew Junge, Zoe McDonald, Jean Pulla +1
Place one active particle at the root of a graph and a Poisson-distributed number of dormant particles at the other vertices. Active particles perform simple random walk. Once the…