Asymptotic metric behavior of random Cayley graphs of finite abelian   groups
  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. 
Uri Shapira and Reut Zuck
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