The Combinatorics of Kinetically Constrained Models

动力学约束自旋模型（Kinetically constrained spin models，KCSM）是近40年前在物理学文献中引入的一种相互作用粒子系统，用于模拟液体/玻璃化转变以及更普遍的所谓“玻璃态动力学”。其中最简单的一种模式是东方模式。尽管它的“简单”，有很少的精确定理，这个模型，即使在低维。我希望朱利安能在一些悬而未决的问题上取得进展。

Kinetically constrained spin models (KCSMs) are interacting particle systems which were introduced in the physics literature close to forty years ago to model liquid/glass transition and more generally so-called \glassy dynamics". One of the simplest such models is the East Model. In spite of its `simplicity', there are very few exact theorems about this model, even in low dimensions. My hope is that Julien will make progress with some of the open problems.