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

Anish Ghosh

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arXiv · 1606.02399

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

Anish Ghosh

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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.

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Anish Ghosh. 2016-06-08. Diophantine approximation on subspaces of $\mathbb{R}^n$ and dynamics on homogeneous spaces. https://arxiv.org/abs/1606.02399

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