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Improvement of Dirichlet's Theorem and homogeneous dynamics

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If you have a question about this talk, please contact Mustapha Amrani.

Interactions between Dynamics of Group Actions and Number Theory

We consider improvement of Dirichlet’s Theorem for vectors in two dimensional Euclidean space. It is proved by Shah in 2009 that for alomost every point of an analytic nonplanar curve Dirichlet’s theorem is nonimprovable. In this talk we show that similar results hold for certain straight lines and fractals.

This talk is part of the Isaac Newton Institute Seminar Series series.

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