Improvement of Dirichlet's Theorem and homogeneous dynamics

1 hour 1 min,  882.96 MB,  MPEG-4 Video  640x360,  29.97 fps,  44100 Hz,  1.92 Mbits/sec
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Description: Shi, R (Xiamen University)
Friday 27 June 2014, 11:30-12:30
 
Created: 2014-07-11 15:12
Collection: Interactions between Dynamics of Group Actions and Number Theory
Publisher: Isaac Newton Institute
Copyright: Shi, R
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
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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