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math.PR2024
Percolation with random one-dimensional reinforcements
A. Nascimento, R. Sanchis, D. Ungaretti
We study inhomogeneous Bernoulli bond percolation on the graph , where is a connected quasi-transitive graph. The inhomogeneity is introduced through a ran…
math.PR2024★ 2 cited
A note on oriented percolation with inhomogeneities and strict inequalities
Bernardo N. B. de Lima, Daniel Ungaretti, Maria Eulália Vares
This note was motivated by natural questions related to oriented percolation on a layered environment that introduces long range dependence. As a convenient tool, we are led to dea…