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Creators/Authors contains: "Hoffman, Christopher"

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  1. ; ; (, Communications in Mathematical Physics)
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  2. ; ; (, Forum of Mathematics, Sigma)
    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 $$\unicode[STIX]{x1D707}$$ on the full $$d$$ -ary tree of height $$n$$ . If $$\unicode[STIX]{x1D707}=\unicode[STIX]{x1D6FA}(d^{2})$$ , all of the vertices are visited in time $$\unicode[STIX]{x1D6E9}(n\log n)$$ with high probability. Conversely, if $$\unicode[STIX]{x1D707}=O(d)$$ the cover time is $$\exp (\unicode[STIX]{x1D6E9}(\sqrt{n}))$$ with high probability. 
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  3. ; ; (, Electronic Journal of Probability)
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