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In this chapter we introduce bootstrap percolation cellular automata, which are instrumental for the study of KCM. We first state some relevant known results for these automata. We then show that several fundamental properties of KCM, including ergodicity, mixing and exponential relaxation, can be directly related to their bootstrap percolation counterparts.

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From Bootstrap Percolation to Kinetically Constrained Models

  • 章节

  • 发表日期：

    2025年

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  • Ivailo Hartarsky,
  • Cristina Toninelli

摘要

In this chapter we introduce bootstrap percolation cellular automata, which are instrumental for the study of KCM. We first state some relevant known results for these automata. We then show that several fundamental properties of KCM, including ergodicity, mixing and exponential relaxation, can be directly related to their bootstrap percolation counterparts.