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math.PR2019
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…
math.PR2019
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…