64 citations · 110 across the 23 of their papers we have counts for
26 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
We establish a general criterion ensuring the absence of infinite connected components at criticality for a broad class of two-dimensional dependent percolation models. Our assumpt…
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…
Voter Model stability with respect to conservative noises
Gideon Amir, Omer Angel, Rangel Baldasso +1
The notions of noise sensitivity and stability were recently extended for the voter model. In this model, the vertices of a graph have opinions that are updated by uniformly select…
The voter model on random regular graphs with random rewiring
Luca Avena, Rangel Baldasso, Rajat Subhra Hazra +2
We consider the voter model with binary opinions on a random regular graph with vertices of degree , subject to a rewiring dynamics in which pairs of edges are rewire…
Random Markov property for random walks in random environments
Julien Allasia, Rangel Baldasso, Oriane Blondel +1
We consider random walks in dynamic random environments and propose a criterion which, if satisfied, allows to decompose the random walk trajectory into i.i.d. increments, and ulti…
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…
Fluctuation bounds for symmetric random walks on dynamic environments via Russo-Seymour-Welsh
Rangel Baldasso, Marcelo R. Hilario, Daniel Kious +1
In this article, we prove a lower bound for the fluctuations of symmetric random walks on dynamic random environments in dimension in the perturbative regime where the walk…
Discordant edges for the voter model on regular random graphs
Luca Avena, Rangel Baldasso, Rajat Subhra Hazra +2
We consider the two-opinion voter model on a regular random graph with n vertices and degree . It is known that consensus is reached on time scale n and that on this time…
Law of large numbers for ballistic random walks in dynamic random environments under lateral decoupling
Weberson S. Arcanjo, Rangel Baldasso, Marcelo R. Hilário +1
We establish a strong law of large numbers for one-dimensional continuous-time random walks in dynamic random environments under two main assumptions: the environment is required t…
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…
Fire retainment on Cayley graphs
Gideon Amir, Rangel Baldasso, Maria Gerasimova +1
We study the fire-retaining problem on groups, a quasi-isometry invariant introduced by Martínez-Pedroza and Prytula [8], related to the firefighter problem. We prove that any Cayl…
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…
Dynamical noise sensitivity for the voter model
Gideon Amir, Omer Angel, Rangel Baldasso +1
We study noise sensitivity of the consensus opinion of the voter model on finite graphs, with respect to noise affecting the initial opinions and noise affecting the dynamics. We p…
Local and global survival for infections with recovery
Rangel Baldasso, Alexandre Stauffer
We establish two open problems from Kesten and Sidoravicius [8]. Particles are initially placed on with a given density and evolve as independent continuous-time random wa…
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…
Local survival of spread of infection among biased random walks
Rangel Baldasso, Alexandre Stauffer
We study infection spread among biased random walks on . The random walks move independently and an infected particle is placed at the origin at time zero. Infectio…
The firefighter problem on polynomial and intermediate growth groups
Gideon Amir, Rangel Baldasso, Gady Kozma
We prove that any Cayley graph with degree polynomial growth does not satisfy -containment for any . This settles the asymptotic behaviour of the fi…
Sharp threshold for two-dimensional majority dynamics percolation
Caio Alves, Rangel Baldasso
In this work we consider the two-dimensional percolation model arising from the majority dynamics process at a given time . We show the emergence of a sharp thres…
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…
Majority dynamics and the median process: connections, convergence and some new conjectures
Gideon Amir, Rangel Baldasso, Nissan Beilin
We consider the median dynamics process in general graphs. In this model, each vertex has an independent initial opinion uniformly distributed in the interval [0,1] and, with rate…
Percolation in majority dynamics
Gideon Amir, Rangel Baldasso
We consider two-dimensional dependent dynamical site percolation where sites perform majority dynamics. We introduce the critical percolation function at time t as the infimum dens…
Spread of an infection on the zero range process
Rangel Baldasso, Augusto Teixeira
We study the spread of an infection on top of a moving population. The environment evolves as a zero range process on the integer lattice starting in equilibrium. At time zero, the…
Noise sensitivity and Voronoi percolation
Daniel Ahlberg, Rangel Baldasso
In this paper we study noise sensitivity and threshold phenomena for Poisson Voronoi percolation on . In the setting of Boolean functions, both threshold phenomena an…