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math.PR2023
An update on lower bounds for the critical values of oriented percolation models
Olivier Couronné
We obtain new lower bounds on the critical points for various models of oriented percolation. The method is to provide a stochastic domination of the percolation processes by multi…
math.PR2023
Characterization of the threshold for multi-range percolation on oriented trees
Olivier Couronné
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-Wa…