From the 1 of 8 linked papers with an AI index.
8 papers
Epidemic Phase Transitions in the Zero-Range Process
Rangel Baldasso, Marcelo R. Hilario, Ian Ornelas
We consider a model for the spread of an infection within an interacting particle system on , generalizing a framework introduced by Kesten and Sidoravicius to a zero…
No infinite clusters at criticality for two-dimensional dependent percolation under abstract hypotheses
Rangel Baldasso
The paper provides a general set of conditions that guarantee no infinite clusters appear at the critical point for a wide range of two‑dimensional dependent percolation models, an…
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…
Marked random graphs with given degree sequence: large deviations on the local topology
Rangel Baldasso, Alan Pereira, Guilherme Reis
We investigate the behavior of the empirical neighborhood distribution of marked graphs in the framework of local weak convergence. Here we extend known results by considering unif…
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 ErdÅs-Rényi random graphs, obtained by decorating edges and vertices of a sparse ErdÅs-Rényi random graph w…
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…