3 papers
math.PR2025
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…
math.PR2025
Cutoff for East models
Concetta Campailla, Fabio Martinelli
We consider the East model in , an example of a kinetically constrained interacting particle system with oriented constraints, together with one of its natural variant…
math.PR2019
Universality for critical KCM: finite number of stable directions
Ivailo Hartarsky, Fabio Martinelli, Cristina Toninelli
In this paper we consider kinetically constrained models (KCM) on with general update families . For belonging to the so-called "critical cla…