3 papers
math.PR2025
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…
math.PR2024
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…