图组态空间中的随机编织模型

arXiv: Combinatorics Pub Date : 2020-04-01 DOI:10.1093/IMRN/RNAB008

D. A. Levin, Eric Ramos, Benjamin Young

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引用次数: 0

摘要

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性质满足中心极限定理，类似于平面上有界粒子缠绕的类似结果。我们还提出了一些自然开放的问题和猜想，这些问题和猜想的证实将为树木的构型空间提供新的见解。

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A Model for Random Braiding in Graph Configuration Spaces

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.

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arXiv: Combinatorics

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