3 papers
math.PR2026
Interface for variants of the contact process
Isabella Alvarenga, Daniel Valesin
We study two one-dimensional variants of the contact process: the contact-and-barrier process, where the population evolves in a region delimited by a randomly moving barrier, and…
math.DS2026
Sharkovskiis theorem under small random perturbations
Isabella Alvarenga, Daniel Miranda Machado
We establish a Sharkovskii-type theorem for a class of discrete random dynamical systems via the random Conley index. Using the continuation property of the Conley index, we extend…
math.PR2025
The Rightmost Particle of the Contact Process on Dynamic Random Environments
Isabella Alvarenga, Aurelia Deshayes
We study the behaviour of the rightmost occupied site in two models: the Spont process and the contact process with inherited sterility, in dimension 1. Both can be viewed as conta…