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20232026
most citedAn upper bound of the Hausdorff dimension of singular vectors on affine subspaces

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math.DS2024

An effective closing lemma for unipotent flows

Elon Lindenstrauss, Gregory Margulis, Amir Mohammadi +2

We prove an effective closing lemma for unipotent flows on quotients of perfect real groups. This is largely motivated by recent developments in effective unipotent dynamics.

math.DS2024

Equidistribution of polynomially bounded o-minimal curves in homogeneous spaces

Michael Bersudsky, Nimish A. Shah, Hao Xing

We extend Ratner's theorem on equidistribution of individual orbits of unipotent flows on finite volume homogeneous spaces of Lie groups to trajectories of non-contracting curves d…