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Abstract: 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 processthat, as the dimension n tends to infinity, converges weakly to a Poissonprocess on the positive real line with intensity 1-2. This generalizes earlierresults by Rogers and Schmidt.



Author: Anders Södergren

Source: https://arxiv.org/



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