21 citations · 58 across the 7 of their papers we have counts for
7 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…
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…
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…
The influence of dimension on the relaxation process of East-like models
Paul Chleboun, Alessandra Faggionato, Fabio Martinelli
We consider the relaxation process and the out-of-equilibrium dynamics of natural generalizations to arbitrary dimensions of the well known one dimensional East process. These faci…
Time scale separation in the low temperature East model: Rigorous results
Paul Chleboun, Alessandra Faggionato, Fabio Martinelli
We consider the non-equilibrium dynamics of the East model, a linear chain of 0-1 spins evolving under a simple Glauber dynamics in the presence of a kinetic constraint which forbi…
Kinetically constrained spin models on trees
F. Martinelli, C. Toninelli
We analyze kinetically constrained 0-1 spin models (KCSM) on rooted and unrooted trees of finite connectivity. We focus in particular on the class of Friedrickson-Andersen models F…
Aging through hierarchical coalescence in the East model
A. Faggionato, F. Martinelli, C. Roberto +1
We rigorously analyze the low temperature non-equilibrium dynamics of the East model, a special example of a one dimensional oriented kinetically constrained particle model, when t…