### Improvement of Dirichlet's Theorem and homogeneous dynamics

Shi, R *(Xiamen University)*

Friday 27 June 2014, 11:30-12:30

Seminar Room 2, Newton Institute Gatehouse

#### Abstract

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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