Improvement of Dirichlet's Theorem and homogeneous dynamics
Seminar Room 2, Newton Institute Gatehouse
AbstractWe 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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