7 citations · 10 across the 4 of their papers we have counts for
10 papers
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…
Approximation on slabs and uniqueness for inhomogeneous percolation with a plane of defects
Bernardo N. B. de Lima, Sébastien Martineau, Humberto C. Sanna +1
Let be the -dimensional hypercubic lattice. We consider a model of inhomogeneous Bernoulli percolation on $ \mathbb{L}^{…
The contact process on random hyperbolic graphs: metastability and critical exponents
Amitai Linker, Dieter Mitsche, Bruno Schapira +1
We consider the contact process on the model of hyperbolic random graph, in the regime when the degree distribution obeys a power law with exponent (so that the degree…
Graph constructions for the contact process with a prescribed critical rate
Stein Andreas Bethuelsen, Gabriel Baptista da Silva, Daniel Valesin
We construct graphs (trees of bounded degree) on which the contact process has critical rate (which will be the same for both global and local survival) equal to any prescribed val…
Asymptotic Results of a Multiple-entry Reinforcement Process
Caio Alves, Rodrigo Ribeiro, Daniel Valesin
We introduce a class of stochastic processes with reinforcement consisting of a sequence of random partitions , where is a partition of…
Exponential rate for the contact process extinction time
Bruno Schapira, Daniel Valesin
We consider the extinction time of the contact process on increasing sequences of finite graphs obtained from a variety of random graph models. Under the assumption that the infect…