47 citations · 297 across the 23 of their papers we have counts for
Showing 2018 · math.PRShow all
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math.PR2018★ 9 cited
Sensitivity of the frog model to initial conditions
Tobias Johnson, Leonardo T. Rolla
The frog model is an interacting particle system on a graph. Active particles perform independent simple random walks, while sleeping particles remain inert until visited by an act…
math.PR2018★ 5 cited
Random tree recursions: which fixed points correspond to tangible sets of trees?
Tobias Johnson, Moumanti Podder, Fiona Skerman
Let be the set of rooted trees containing an infinite binary subtree starting at the root. This set satisfies the metaproperty that a tree belongs to it if and only i…
math.PR2018★ 11 cited
Cover time for the frog model on trees
Christopher Hoffman, Tobias Johnson, Matthew Junge
The frog model is a branching random walk on a graph in which particles branch only at unvisited sites. Consider an initial particle density of on the full -ary tree of heig…