Roger W. C. Silva

activity

20102022

most citedDimensional Crossover in Anisotropic Percolation on

Z^{d + s}

3 citations · 11 across the 12 of their papers we have counts for

collaborators

Showing math.PRShow all

9 papers · 1 filter

math.PR2022

Percolation of words on the hypercubic lattice with one-dimensional long-range interactions

Pablo A. Gomes, Otávio Lima, Roger W C Silva

We investigate the problem of percolation of words in a random environment. To each vertex, we independently assign a letter $0$ or $1$ according to Bernoulli r.v.'s with parameter…

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 $v$ has an independent random constraint $κ_{v}$ …

math.PR2020★ 1 cited

Constrained-degree percolation in random environment

Rémy Sanchis, Diogo C. dos Santos, Roger W. C. Silva

We consider the Constrained-degree percolation model in random environment on the square lattice. In this model, each vertex $v$ has an independent random constraint $κ_{v}$ which ta…

math.PR2020

Convergence and inference for mixed Poisson random sums

Wagner Barreto-Souza, Gabriela Oliveira, Roger W. C. Silva

In this paper we obtain the limit distribution for partial sums with a random number of terms following a class of mixed Poisson distributions. The resulting weak limit is a mixing…

math.PR2019★ 3 cited

A note on the dimensional crossover critical exponent

Pablo A. Gomes, Remy Sanchis, Roger W. C. Silva

We consider independent anisotropic bond percolation on $Z^{d} \times Z^{s}$ where edges parallel to $Z^{d}$ are open with probability $p < p_{c} (Z^{d})$ and…

math.PR2017★ 3 cited

Dimensional Crossover in Anisotropic Percolation on $Z^{d + s}$

Rémy Sanchis, Roger W. C. Silva

We consider bond percolation on $Z^{d} \times Z^{s}$ where edges of $Z^{d}$ are open with probability $p < p_{c} (Z^{d})$ and edges of $Z^{s}$ are open with probability $q$ , independently of…

math.PR2016

On a Local Version of the Bak-Sneppen Model

Iddo Ben-Ari, Roger W. C. Silva

A major difficulty in studying the Bak-Sneppen model is in effectively comparing it with well-understood models. This stems from the use of two geometries: complete graph geometry…

math.PR2011

Critical Point and Percolation Probability in a Long Range Site Percolation Model on $Z^{d}$

Bernardo N. B. de Lima, Rémy Sanchis, Roger W. C. Silva

Consider an independent site percolation model with parameter $p \in (0, 1)$ on $Z^{d}, d \geq 2$ where there are only nearest neighbor bonds and long range bonds of length $k$ paral…

math.PR2010

Monotonicity of Percolation Probability on $Z^{d}$ with Long Range Connections