Random lattices restricted to small antipodal-free sets S in R^n approximate Poisson point processes with total variation distance decaying exponentially in dimension n.
A.,Mean values over the space of lattices.Acta Math., V ol
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Poisson approximation of random lattices
Random lattices restricted to small antipodal-free sets S in R^n approximate Poisson point processes with total variation distance decaying exponentially in dimension n.