46 citations · 271 across the 29 of their papers we have counts for
4 papers · 2 filters
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…
Avalanches in Critical Activated Random Walks
Manuel Cabezas, Leonardo T. Rolla
We consider Activated Random Walks on with totally asymmetric jumps and critical particle density, with different time scales for the progressive release of particles and the…
Slow-to-Start Traffic Model: Condensation, Saturation and Scaling Limits
Pablo A. Ferrari, Leonardo T. Rolla
We consider a one-dimensional traffic model with a slow-to-start rule. The initial position of the cars in is a Poisson process of parameter . Cars have speed 0 or 1…
Uniform threshold for fixation of the stochastic sandpile model on the line
Moumanti Podder, Leonardo T. Rolla
We consider the abelian stochastic sandpile model. In this model, a site is deemed unstable when it contains more than one particle. Each unstable site, independently, is toppled a…