We define and study a model of winding for non-colliding particles in finite trees. We prove that the asymptotic behavior of this statistic satisfies a central limiting theorem, analogous to similar results on winding of bounded particles in the plane [ 42]. We also propose certain natural open questions and conjectures, whose confirmation would provide new insights on configuration spaces of trees.

中文翻译：

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图配置空间中的随机编织模型

我们定义并研究了有限树中非碰撞粒子的缠绕模型。我们证明了该统计量的渐近行为满足中心极限定理，类似于平面中有界粒子缠绕的类似结果[42]。我们还提出了一些自然的开放性问题和猜想，它们的确认将为树的配置空间提供新的见解。