21 citations · 39 across the 15 of their papers we have counts for
16 papers
Percolation on hierarchical lattices
Caio Alves, Rangel Baldasso, Carlos Gustavo Moreira +1
We consider independent Bernoulli percolation on top of sequences of hierarchical graphs. Given a graph with two distinguished vertices and , the hierarchica…
Exponential Bounds and Analyticity for the Tree Builder Random Walk
Caio Alves, Rodrigo Ribeiro
In this work we investigate a class of random walks that interacts with its environment called Tree Builder Random Walk (TBRW). In our settings, at each step, the walker adds a ran…
Probabilistic Context Neighborhood Model for Lattices
Debora F. Magalhaes, Aline M. Piroutek, Denise Duarte +1
We present the Probabilistic Context Neighborhood model designed for two-dimensional lattices as a variation of a Markov Random Field assuming discrete values. In this model, the n…
Clustering and Cliques in P.A random graphs with edge insertion
Caio Alves, Rodrigo Ribeiro, Rémy Sanchis
In this paper, we investigate the global clustering coefficient (a.k.a transitivity) and clique number of graphs generated by a preferential attachment random graph model with an a…
Cylinders' percolation: decoupling and applications
Caio Alves, Augusto Teixeira
In this paper we establish a strong decoupling inequality for the cylinder's percolation process introduced by Tykesson and Windisch in arXiv:1010.5338 . This model features a very…
Percolation phase transition on planar spin systems
Caio Alves, Gideon Amir, Rangel Baldasso +1
In this article we study the continuity and sharpness of the phase transition for percolation models defined on top of planar spin systems. The two examples that we treat in detail…