The Combinatorics of Kinetically Constrained Models

动力学约束自旋模型（kcsm）是近40年前在物理文献中引入的相互作用粒子系统，用于模拟液体/玻璃跃迁，更一般地称为“玻璃动力学”。最简单的模型之一是东方模型。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。我希望朱利安能在一些尚未解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.