4 citations · 9 across the 8 of their papers we have counts for
9 papers
Constrained-degree percolation on the hypercubic lattice: uniqueness and some of its consequences
Weberson S. Arcanjo, Alan S. Pereira, Diogo C. dos Santos +2
We consider the constrained-degree percolation (CDP) model on the hypercubic lattice. This is a continuous-time percolation model defined by a sequence …
Large deviations for marked sparse random graphs with applications to interacting diffusions
Rangel Baldasso, Roberto I Oliveira, Alan Pereira +1
We consider the empirical neighborhood distribution of marked sparse Erdős-Rényi random graphs, obtained by decorating edges and vertices of a sparse Erdős-Rényi random graph with…
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…
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…
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…
Large deviations for interacting diffusions with path-dependent McKean-Vlasov limit
Rangel Baldasso, Alan Pereira, Guilherme Reis
We consider a mean-field system of path-dependent stochastic interacting diffusions in random media over a finite time window. The interaction term is given as a function of the em…
Anisotropic oriented percolation in high dimensions
Pablo Almeida Gomes, Alan Pereira, Remy Sanchis
In this paper we study anisotropic oriented percolation on for and show that the local condition for phase transition is closely related to the mean-field…
Concentration in the Generalized Chinese Restaurant Process
Alan Pereira, Roberto I. Oliveira, Rodrigo Ribeiro
The Generalized Chinese Restaurant Process (GCRP) describes a sequence of exchangeable random partitions of the numbers . This process is related to the Ewens sampli…
Finding the seed of uniform attachment trees
Gabor Lugosi, Alan S. Pereira
A uniform attachment tree is a random tree that is generated dynamically. Starting from a fixed "seed" tree, vertices are added sequentially by attaching each vertex to an existing…