5 citations · 8 across the 4 of their papers we have counts for
8 papers
The frog model on non-amenable trees
Marcus Michelen, Josh Rosenberg
We examine an interacting particle system on trees commonly referred to as the frog model. For its initial state, it begins with a single active particle at the root and i.i.d. $\m…
The frog model on Galton-Watson trees
Marcus Michelen, Josh Rosenberg
We consider an interacting particle system on trees known as the frog model: initially, a single active particle begins at the root and i.i.d.~ many inactive par…
Maximal displacement of simple random walk bridge on Galton-Watson trees
Josh Rosenberg
We analyze simple random walk on a supercritical Galton-Watson tree, where the walk is conditioned to return to the root at time . Specifically, we establish the asymptotic ord…
Quenched Survival of Bernoulli Percolation on Galton-Watson Trees
Marcus Michelen, Robin Pemantle, Josh Rosenberg
We explore the survival function for percolation on Galton-Watson trees. Letting represent the probability a tree survives Bernoulli percolation with parameter , we…
Invasion Percolation on Galton-Watson Trees
Marcus Michelen, Robin Pemantle, Josh Rosenberg
We consider invasion percolation on Galton-Watson trees. On almost every Galton-Watson tree, the invasion cluster almost surely contains only one infinite path. This means that for…
The nonhomogeneous frog model on
Josh Rosenberg
We examine a system of interacting random walks with leftward drift on , which begins with a single active particle at the origin and some distribution of inactive part…