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- W4311349400 abstract "We consider the frog model with geometric lifetime (parameter $1-p$) on homogeneous trees of dimension $d$. In 2002, cite{alves2002-2} proved that there exists a critical lifetime parameter $p_cin(0,1)$ above which infinitely many frogs are activated with positive probability, and they gave lower and upper bounds for $p_c$. Since then, the literature on this model focussed on refinements of the upper bound. In the present paper we improve the bounds for $p_c$ emph{on both sides}. We also provide a discussion comparing the bounds of the literature and their proofs. Our proofs are based on coupling." @default.
- W4311349400 created "2022-12-25" @default.
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- W4311349400 date "2022-12-13" @default.
- W4311349400 modified "2023-10-18" @default.
- W4311349400 title "Critical Parameter of the Frog Model on Homogeneous Trees with Geometric Lifetime" @default.
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- W4311349400 doi "https://doi.org/10.1007/s10955-022-03049-4" @default.
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