# Refined universality for critical KCM: upper bounds

@inproceedings{Hartarsky2021RefinedUF, title={Refined universality for critical KCM: upper bounds}, author={Ivailo Hartarsky}, year={2021} }

We study a general class of interacting particle systems called kinetically constrained models (KCM) in two dimensions tightly linked to the monotone cellular automata called bootstrap percolation. There are three classes of such models [5], the most studied being the critical one. Together with the companion paper by Marêché and the author [15], our work determines the logarithm of the infection time up to a constant factor for all critical KCM, which were previously known only up to…

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## 7 Citations

Refined universality for critical KCM: lower bounds

- MathematicsCombinatorics, Probability and Computing
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We study a general class of interacting particle systems called kinetically constrained models (KCM) in two dimensions tightly linked to the monotone cellular automata called bootstrap percolation.…

Universality for critical KCM: Finite number of stable directions

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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…

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To fixate or not to fixate in two-type annihilating branching random walks

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Universality for critical KCM: infinite number of stable directions

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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…

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Universality for critical KCM: Finite number of stable directions

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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…

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Kinetically constrained models (KCM) are reversible interacting particle systems on $\mathbb Z^d$ with continuous time Markov dynamics of Glauber type, which represent a natural stochastic (and…

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Kinetically constrained models (KCM) are reversible interacting particle systems on $${\mathbb{Z}^{d}}$$Zd with continuous timeMarkov dynamics of Glauber type, which represent a natural stochastic…