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Mathematics > Probability

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

Authors: Olivier Couronné (MODAL'X, FP2M)
(Submitted on 4 Jul 2023)
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.
Subjects: Probability (math.PR)
Cite as: arXiv:2307.01554 [math.PR]
  (or arXiv:2307.01554v1 [math.PR] for this version)

Submission history

From: Olivier Couronne [view email]
[v1] Tue, 4 Jul 2023 08:09:45 GMT (6kb)
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