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arXiv:1606.02399 [math.NT]AbstractReferencesReviewsResources

Diophantine approximation on subspaces of $\mathbb{R}^n$ and dynamics on homogeneous spaces

Anish Ghosh

Published 2016-06-08Version 1

In recent years, the ergodic theory of group actions on homogeneous spaces has played a significant role in the metric theory of Diophantine approximation. We survey some recent developments with special emphasis on Diophantine properties of affine subspaces and their submanifolds.

Comments: Survey article. To appear in the Handbook of Group Actions Vol III/IV, Editors Lizhen Ji, Athanase Papadopoulos, Shing-Tung Yau
Categories: math.NT, math.DS
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