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- W3081437201 abstract "We study the recurrence of one-per-site frog model $text{FM}(d, p)$ on a $d$-ary tree with drift parameter $pin [0,1]$, which determines the bias of frogs' random walks. We are interested in the minimal drift $p_{d}$ so that the frog model is recurrent. Using a coupling argument together with a generating function technique, we prove that for all $d ge 2$, $p_{d}le 1/3$, which is the optimal universal upper bound." @default.
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- W3081437201 date "2020-08-20" @default.
- W3081437201 modified "2023-09-27" @default.
- W3081437201 title "On the minimal drift for recurrence in the frog model on $d$-ary trees" @default.
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- W3081437201 doi "https://doi.org/10.48550/arxiv.2008.09226" @default.
- W3081437201 hasPublicationYear "2020" @default.
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