Infection spread for the frog model on trees

ELECTRONIC JOURNAL OF PROBABILITY, 2019.

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Abstract:

The frog model is an infection process in which dormant particles begin moving and infecting others once they become infected. We show that on the rooted d-ary tree with particle density Omega(d(2)), the set of visited sites contains a linearly expanding ball and the number of visits to the root grows linearly with high probability.

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