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arXiv · 1607.05022

Asymptotic metric behavior of random Cayley graphs of finite abelian groups

Uri Shapira·Reut Zuck
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Abstract

Using methods of Marklof and Str\"ombergsson we establish several limit laws for metric parameters of random Cayley graphs of finite abelian groups with respect to a randomly chosen set of generators of a fixed size. Doing so we settle a conjecture of Amir and Gurel-Gurevich.

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Uri Shapira, Reut Zuck. 2016-07-18. Asymptotic metric behavior of random Cayley graphs of finite abelian groups. https://arxiv.org/abs/1607.05022

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