3 papers
math.PR2026
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…
math.PR2026
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)…
math.PR2024
Dynamic Phenomena in Interacting Particle Systems: Phase Transitions and Equilibrium
Célio Terra
This thesis investigates critical phenomena and equilibrium states in various stochastic models through three interconnected studies. In the first chapter, we analyze the Activated…