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math.PR2021
Multi-range percolation on oriented trees: critical curve and limit behavior
Bernardo N. B. de Lima, Réka Szabó, Daniel Valesin
We consider an inhomogeneous oriented percolation model introduced by de Lima, Rolla and Valesin. In this model, the underlying graph is an oriented rooted tree in which each verte…
math.PR2021
Generalised oriented site percolation
Ivailo Hartarsky, Réka Szabó
We consider a generalised oriented site percolation model (GOSP) on with arbitrary neighbourhood. The key additional difficulties as compared to standard oriented per…
math.PR2016
From survival to extinction of the contact process by the removal of a single edge
Réka Szabó, Daniel Valesin
We give a construction of a tree in which the contact process with any positive infection rate survives but, if a certain privileged edge is removed, one obtains two subtrees…