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math.DS2016
Stable lattices and the diagonal group
Uri Shapira, Barak Weiss
Inspired by work of McMullen, we show that any orbit of the diagonal group in the space of lattices accumulates on the set of stable lattices. As consequences, we settle a conjectu…
math.DS2016★ 1 cited
Asymptotic metric behavior of random Cayley graphs of finite abelian groups
Uri Shapira, Reut Zuck
Using methods of Marklof and Strömbergsson we establish several limit laws for metric parameters of random Cayley graphs of finite abelian groups with respect to a randomly chosen…