293 citations · 1.3k across the 49 of their papers we have counts for
51 papers
Long time behaviour of one facilitated kinetically constrained models: results and open problems
Fabio Martinelli, Assaf Shapira, Cristina Toninelli
Kinetically constrained models (KCMs) are interacting particle systems introduced in the '80s by physicists to have accessible stochastic models with glassy-type dynamics. The key…
Kinetically constrained models
Ivailo Hartarsky, Cristina Toninelli
The goal of this book is to provide an introduction to the mathematical theory of Kinetically constrained models developed in the last twenty years, intended for both mathematician…
Fredrickson--Andersen model in two dimensions
Ivailo Hartarsky, Fabio Martinelli, Cristina Toninelli
The present expository article overviews recent mathematical advances on the Fredrickson--Andersen kinetically constrained spin model in two dimensions. It was introduced in physic…
Peierls bounds from Toom contours
Jan M. Swart, Réka Szabó, Cristina Toninelli
For deterministic monotone cellular automata on the -dimensional integer lattice, Toom has given necessary and sufficient conditions for the all-one fixed point to be stable aga…
Sharp threshold for the FA-2f kinetically constrained model
Ivailo Hartarsky, Fabio Martinelli, Cristina Toninelli
The Fredrickson-Andersen 2-spin facilitated model on (FA-2f) is a paradigmatic interacting particle system with kinetic constraints (KCM) featuring dynamical facilit…
Coalescing and branching simple symmetric exclusion process
Ivailo Hartarsky, Fabio Martinelli, Cristina Toninelli
Motivated by kinetically constrained interacting particle systems (KCM), we consider a reversible coalescing and branching simple exclusion process on a general finite graph $G=(V,…