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- W2979346064 abstract "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. $mathrm{Poiss}(lambda)$ many inactive particles at each non-root vertex. Active particles perform discrete time simple random walk and in the process activate any inactive particles they encounter. We show that for $textit{every}$ non-amenable tree with bounded degree there exists a phase transition from transience to recurrence (with a non-trivial intermediate phase sometimes sandwiched in between) as $lambda$ varies." @default.
- W2979346064 created "2019-10-18" @default.
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- W2979346064 date "2019-10-11" @default.
- W2979346064 modified "2023-09-27" @default.
- W2979346064 title "The frog model on non-amenable trees." @default.
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