A Model for Random Braiding in Graph Configuration Spaces
INTERNATIONAL MATHEMATICS RESEARCH NOTICES(2022)
摘要
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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关键词
graph configuration spaces, Markov chains, random braiding
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