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Improvement of Dirichlet's Theorem and homogeneous dynamics

Friday 27th June 2014 - 11:30 to 12:30
INI Seminar Room 2
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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons