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Group Actions and Dynamics

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Bijective quasi-isometries

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Geodesic chords for closed geodesics in a Riemannian manifold.

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Rigidity of conformal boundaries in pseudo-Riemannian geometry

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A solution to an open problem of Cassels and Diophantine properties of cubic numbers.

  • Read more about A solution to an open problem of Cassels and Diophantine properties of cubic numbers.

Special divergent trajectories for a homogeneous flow

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Suspension flows over Vershik's automorphisms

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Volume entropy of hyperbolic buildings.

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Perturbation results for some parabolic algebraic actions

  • Read more about Perturbation results for some parabolic algebraic actions

Kinchin theorem for integral points on quadratic varieties

  • Read more about Kinchin theorem for integral points on quadratic varieties

Apollonian circle packings and long horopsheres in infinite volume hyperbolic 3 manifolds

  • Read more about Apollonian circle packings and long horopsheres in infinite volume hyperbolic 3 manifolds
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