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Group Actions and Dynamics

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Effective density of rational points on varieties

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On an effective proof of the Oppenheim conjecture.

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Badly approximable vectors on rational quadratic varieties

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The positive density conjecture for integral Apollonian packings

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Inhomogeneous quadratic forms

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A combinatorial property of geodesic flow and isometric Z-actions

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Parabolic flows, renormalization and octagonal billiards

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Affine invariants of compact and non-compact translation surfaces

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A criterion for topological entropy to decrease under normalised Ricci flow

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Fractal measure theory, dynamics, Schmidt's game and number theory

  • Read more about Fractal measure theory, dynamics, Schmidt's game and number theory
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