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In this note, we consider the frog model on $\mathbb{Z}^d$ and a two-typeversion of it with two types of particles. For the one-type model, we show thatthe asymptotic shape does not depend on the initially activated set and theconfiguration there. For the two-type model, we show that the possibility forthe types to coexist in that both of them activate infinitely many particlesdoes not depend on the choice of the initially activated sets and theconfigurations there.

The initial set in the frog model is irrelevant