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arxiv: 1505.05006 · v2 · pith:L265PCU6new · submitted 2015-05-19 · 🧮 math.PR

The speed of frogs with drift on mathbb{Z}

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keywords speeddriftfrogfrogsmathbbadditionarticlebehaviour
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In this article we consider the frog model with drift on $\mathbb{Z}$ and investigate the behaviour of the cloud of the frogs. In particular, we show that the speed of the minimum equals the speed of a single frog and prove some properties of the speed of the maximum. In addition, we show a limit theorem for the empirical distribution.

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