46 citations · 271 across the 29 of their papers we have counts for
36 papers
Explosivity in 1-d Activated Random Walk
Nicolas Forien, Christopher Hoffman, Tobias Johnson +3
We show that Activated Random Walk on is explosive above criticality. That is, activating a single particle in a supercritical state of sleeping particles triggers an…
The critical curve of long-range percolation on oriented trees
Olivier Couronné, Sandro Gallo, Leonardo T. Rolla
We consider a long-range percolation model on homogeneous oriented trees with several lengths. We obtain the critical surface as the set of zeros of a specific polynomial with coef…
On the uniqueness of quasi-stationary distributions for population models with spatial structure
Pablo Groisman, Leonardo T. Rolla, Célio Terra
Subcritical population processes are attracted to extinction and do not have non-trivial stationary distributions, which prompts the study of quasi-stationary distributions (QSDs)…
On the slow phase for fixed-energy Activated Random Walks
Bernardo N. B. de Lima, Leonardo T. Rolla, Célio Terra
We study the Activated Random Walk model on the one-dimensional ring, in the high density regime. We develop a toppling procedure that gradually builds an environment that can be u…
On the One-Dimensional Contact Process with Enhancements
Enrique Andjel, Leonardo T. Rolla
We study a one-dimensional contact process with two infection parameters, one giving the infection rates at the boundaries of a finite infected region and the other one the rates w…
Active Phase for Activated Random Walk on Z
Christopher Hoffman, Jacob Richey, Leonardo T. Rolla
We consider the Activated Random Walk model on . In this model, each particle performs a continuous-time simple symmetric random walk, and falls asleep at rate . A s…