# Universality for critical KCM: infinite number of stable directions

@article{Hartarsky2020UniversalityFC,
title={Universality for critical KCM: infinite number of stable directions},
author={Ivailo Hartarsky and Laure Marêché and Cristina Toninelli},
journal={Probability Theory and Related Fields},
year={2020},
pages={1-38}
}
• Published 19 April 2019
• Mathematics
• Probability Theory and Related Fields
Kinetically constrained models (KCM) are reversible interacting particle systems on $${{\mathbb {Z}}} ^d$$ Z d with continuous-time constrained Glauber dynamics. They are a natural non-monotone stochastic version of the family of cellular automata with random initial state known as $${{\mathscr {U}}}$$ U -bootstrap percolation. KCM have an interest in their own right, owing to their use for modelling the liquid-glass transition in condensed matter physics. In two dimensions there are three…
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In this paper we consider kinetically constrained models (KCM) on Z2 with general update families U . For U belonging to the so-called “critical class” our focus is on the divergence of the infection
Universality for critical kinetically constrained models: infinite number of stable directions
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