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math.NT2010★ 15 cited
On the distribution of angles between the N shortest vectors in a random lattice
Anders Södergren
We determine the joint distribution of the lengths of, and angles between, the N shortest lattice vectors in a random n-dimensional lattice as n tends to infinity. Moreover we inte…
math.NT2010★ 1 cited
On the Poisson distribution of lengths of lattice vectors in a random lattice
Anders Södergren
We prove that the volumes determined by the lengths of the non-zero vectors $\pm\vecx$ in a random lattice L of covolume 1 define a stochastic process that, as the dimension n tend…