Transição de Fase no Processo de Percolação de Grau Restrito

Abstract

In the Constrained-degree Percolation model on a graph (...)) there are a sequence, (...), of i.i.d. random variables with distribution (...) and a positive integer k. Each bond (...) tries to open at time (...), it succeeds if both its extremos would have degrees at most (...). We prove a phase transition theorem for this model on the square lattice (...), as well on the d-ary regular tree.