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math.DS2021★ 2 cited
Equidistribution of expanding degenerate manifolds in the space of lattices
Nimish A. Shah, Pengyu Yang
For the space of unimodular lattices in a Euclidean space, we give necessary and sufficient conditions for equidistribution of expanding translates of any real-analytic submanifold…
math.DS2021
Equidistribution in the space of 3-lattices and Dirichlet-improvable vectors on planar lines
Dmitry Kleinbock, Nicolas de Saxcé, Nimish A. Shah +1
Let , and . Let denote the push-forward of the normalized Lebesgue measure on a segm…