Diophantine approximation on subspaces of $\mathbb{R}^n$ and dynamics on homogeneous spaces
Number Theory
2016-06-09 v1 Dynamical Systems
Abstract
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.
Cite
@article{arxiv.1606.02399,
title = {Diophantine approximation on subspaces of $\mathbb{R}^n$ and dynamics on homogeneous spaces},
author = {Anish Ghosh},
journal= {arXiv preprint arXiv:1606.02399},
year = {2016}
}
Comments
Survey article. To appear in the Handbook of Group Actions Vol III/IV, Editors Lizhen Ji, Athanase Papadopoulos, Shing-Tung Yau