Description |
Abstract:
Homogeneous dynamics is often helpful to solve some problems in number
theory. We will explain a particular example of the setting in homogeneous
dynamics, useful for Diophantine approximation. We will then show why the
set of epsilon-badly approximable target vectors in inhomogeneous
Diophantine approximation is not full for almost every approximating
vectors. We further explain the situation in dimension 1, which is almost
settled with the aid of continued fraction expansions. The main part is a
joint work with Uri Shapira and Nicolas de Saxce.
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