2 citations · 2 across the 3 of their papers we have counts for
5 papers · 1 filter
Spread of Infection over P.A. random graphs with edge insertion
Caio Alves, Rodrigo Ribeiro
In this work we investigate a bootstrap percolation process on random graphs generated by a random graph model which combines preferential attachment and edge insertion between pre…
Asymptotic Results of a Multiple-entry Reinforcement Process
Caio Alves, Rodrigo Ribeiro, Daniel Valesin
We introduce a class of stochastic processes with reinforcement consisting of a sequence of random partitions , where is a partition of…
Agglomeration in a preferential attachment random graph with edge-steps
Caio Alves, Rodrigo Ribeiro, Remy Sanchis
In this paper we investigate geometric properties of graphs generated by a preferential attachment random graph model with edge-steps. More precisely, at each time …
Decoupling inequalities and supercritical percolation for the vacant set of random walk loop soup
Caio Alves, Artem Sapozhnikov
It has been recently understood (arXiv:1212.2885, arXiv:1310.4764, arXiv:1410.0605) that for a general class of percolation models on satisfying suitable decoupling…
A note on truncated long-range percolation with heavy tails on oriented graphs
Caio T. M. Alves, Marcelo Hilário, Bernardo N. B. de Lima +1
We consider oriented long-range percolation on a graph with vertex set and directed edges of the form , for $x,y…