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Tertiles and the time constant
Published online by Cambridge University Press: 16 July 2020
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 (2015).
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- © Applied Probability Trust 2020
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