13 citations · 30 across the 12 of their papers we have counts for
13 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…
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…
Results on the contact process with dynamic edges or under renewals
Marcelo Hilário, Daniel Ungaretti, Daniel Valesin +1
We analyze variants of the contact process that are built by modifying the percolative structure given by the graphical construction and develop a robust renormalization argument f…
Euclidean and chemical distances in ellipses percolation
Marcelo Hilário, Daniel Ungaretti
The ellipses model is a continuum percolation process in which ellipses with random orientation and eccentricity are placed in the plane according to a Poisson point process. A par…
Bernoulli Hyperplane Percolation
Marco Aymone, Marcelo R. Hilário, Bernardo N. B. de Lima +1
We study a dependent site percolation model on the -dimensional Euclidean lattice where, instead of single sites, entire hyperplanes are removed independently at random. We exte…
A note on the phase transition for independent alignment percolation
Marcelo Hilário, Daniel Ungaretti
We study the independent alignment percolation model on introduced by Beaton, Grimmett and Holmes [arXiv:1908.07203]. It is a model for random intersecting line segm…
Strict inequality for bond percolation on a dilute lattice with columnar disorder
Marcelo R. Hilário, Marcos Sá, Rémy Sanchis
We consider a dilute lattice obtained from the usual lattice by removing independently each of its columns with probability . In the remaining dilute lattice in…
Random walk on the simple symmetric exclusion process
Marcelo R. Hilário, Daniel Kious, Augusto Teixeira
We investigate the long-term behavior of a random walker evolving on top of the simple symmetric exclusion process (SSEP) at equilibrium, in dimension one. At each jump, the random…
Bernoulli line percolation
Marcelo R. Hilário, Vladas Sidoravicius
We introduce a percolation model on , , in which the discrete lines of vertices that are parallel to the coordinate axis are entirely removed at random and…
Random Walk on Random Walks
Marcelo Hilário, Frank den Hollander, Vladas Sidoravicius +2
In this paper we study a random walk in a one-dimensional dynamic random environment consisting of a collection of independent particles performing simple symmetric random walks in…
Embedding binary sequences into Bernoulli site percolation on
Marcelo R. Hilário, Bernardo N. B. de Lima, Pierre Nolin +1
We investigate the problem of embedding infinite binary sequences into Bernoulli site percolation on with parameter , known also as percolation of words.\ In 1995…
Escape of resources in distributed clustering processes
J. van den Berg, M. R. Hilário, Alexander E. Holroyd
In a distributed clustering algorithm introduced by Coffman, Courtois, Gilbert and Piret \cite{coffman91}, each vertex of receives an initial amount of a resource, a…
Fixation for Distributed Clustering Processes
Marcelo R. Hilario, Oren Louidor, Charles M. Newman +3
We study a discrete-time resource flow in , where wealthier vertices attract the resources of their less rich neighbors. For any translation-invariant probability distribution…