论文标题
图形配置空间中随机编织的模型
A model for random braiding in graph configuration spaces
论文作者
论文摘要
我们定义并研究有限树中非coll虫颗粒的绕组模型。我们证明,该统计量的渐近行为满足了一个中心限制定理,类似于平面中有界粒子的绕组的类似结果。我们还提出了某些自然的开放问题和猜想,其确认将为树木的配置空间提供新的见解。
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. We also propose certain natural open questions and conjectures, whose confirmation would provide new insights on configuration spaces of trees.