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math.GT2020
Hyperbolic 3-manifolds with large kissing number
Cayo Dória, Plinio G. P. Murillo
In this article we construct a sequence of non compact finite volume hyperbolic -manifolds whose kissing number grows at least as …
math.GT2020
Counting Salem numbers of arithmetic hyperbolic 3-orbifolds
Mikhail Belolipetsky, Matilde Lalín, Plinio G. P. Murillo +1
It is known that the lengths of closed geodesics of an arithmetic hyperbolic orbifold are related to Salem numbers. We initiate a quantitative study of this phenomenon. We show tha…