Título: "Oriented Percolation Models: Further improvement for the critical probability on regular trees"
Palestrante: Jaime Utria (IME-UFF)
Local: C116 - Bloco C - CT – Instituto de Matemática – UFRJ.
Resumo: Let V be the vertex set of the regular tree of degree d + 1. We consider an oriented, dependent, and long-range bond percolation model. In this model, the underlying graph is the complete and oriented graph in which its vertex set is V. We derive a new upper bound for the critical probability of this model, and as a consequence, we retrieve and improve previous bounds for the critical probability of some particular models in the literature.
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