4 citations · 9 across the 8 of their papers we have counts for
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math.PR2021★ 1 cited
A proof of Sanov's Theorem via discretizations
Rangel Baldasso, Roberto I. Oliveira, Alan Pereira +1
We present an alternative proof of Sanov's theorem for Polish spaces in the weak topology that follows via discretization arguments. We combine the simpler version of Sanov's Theor…
math.PR2021
Upper bounds for critical probabilities in Bernoulli Percolation models
Pablo A. Gomes, Alan Pereira, Remy Sanchis
We consider bond and site Bernoulli Percolation in both the oriented and the non-oriented cases on and obtain rigorous upper bounds for the critical points in those…
math.PR2021★ 1 cited
Anisotropic non-oriented bond percolation in high dimensions
Pablo A. Gomes, Alan Pereira, Remy Sanchis
We consider inhomogeneous non-oriented Bernoulli bond percolation on , where each edge has a parameter depending on its direction. We prove that, under certain condit…