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arXiv · 2307.01554

Characterization of the threshold for multi-range percolation on oriented trees

Olivier Couronné
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Abstract

We give a characterization of the percolation threshold for a multirange model on oriented trees, as the first positive root of a polynomial, with the use of a multi-type Galton-Watson process. This gives in particular the exact value of the critical point for the model studied in [2] and [3] for k = 2.

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Olivier Couronné. 2023-07-04. Characterization of the threshold for multi-range percolation on oriented trees. https://arxiv.org/abs/2307.01554

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