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math.DS2017
Equidistribution of divergent orbits of the diagonal group in the space of lattices
Ofir David, Uri Shapira
We consider divergent orbits of the group of diagonal matrices in the space of lattices in Euclidean space. We define two natural numerical invariants of such orbits: The discrimin…
math.DS2017★ 10 cited
Equidistribution of divergent orbits and continued fraction expansion of rationals
Ofir David, Uri Shapira
We establish an equidistribution result for push-forwards of certain locally finite algebraic measures in the adelic extension of the space of lattices in the plane. As an applicat…