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math.PR2021★ 2 cited
Exponential decay for Constrained-degree percolation
Diogo C. dos Santos, Roger W. C. Silva
We consider the Constrained-degree percolation model in random environment (CDPRE) on the square lattice. In this model, each vertex has an independent random constraint …
math.ST2021
Fractional Poisson random sum and its associated normal variance mixture
Gabriela Oliveira, Wagner Barreto-Souza, Roger W. C. Silva
In this work, we study the partial sums of independent and identically distributed random variables with the number of terms following a fractional Poisson (FP) distribution. The F…