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arXiv · 1911.09949

Tertiles and the time constant

Daniel Ahlberg
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Abstract

We consider planar first-passage percolation and show that the time constant can be bounded by multiples of the first and second tertiles of the weight distribution. As a consequence we obtain a counter-example to a problem proposed by Alm and Deijfen.

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Daniel Ahlberg. 2019-11-22. Tertiles and the time constant. https://doi.org/10.1017/jpr.2020.9

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