The Combinatorics of Kinetically Constrained Models

动能约束自旋模型(KCSM)是近40年前在物理学文献中引入的相互作用的粒子系统，用来模拟液体/玻璃相变和更一般的所谓玻璃动力学。其中最简单的模型之一是East模型。尽管它很简单，但关于这个模型的精确定理很少，即使在低维情况下也是如此。我希望Julien将在一些公开问题上取得进展。

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.