Abstract: The Fredrickson-Andersen model of structural glass (FA) is a lattice spin system with constrained Glauber dynamics. It is closely related to the ubiquitous cellular automata known as bootstrap percolation. After introducing both models, we discuss the sharpest results available for the persistence time of a fixed spin for bootstrap percolation and for FA at equilibrium, as well as some of the techniques used to obtain them.
The talk is based on a joint works with Robert Morris arxiv.org/abs/1806.08931 and Fabio Martinelli and Cristina Toninelli arxiv.org/abs/2012.02557.