论文标题
在实际二次字段中具有应用于不均匀的最小值的一些动态
Some dynamics in real quadratic fields with applications to inhomogeneous minima
论文作者
论文摘要
令$ k $为一个真正的二次字段。我们使用与$ k $相关的实际$ 2 $ torus对基本单位的动作的象征编码来研究子集的$ x_t $ norm dange dange $ \ geq t $ froment。作为一个应用程序，我们证明了$ k $的不均匀频谱包含$ k $的密集元素，并得出结论，所有孤立的不均匀微米都躺在$ k $中。
Let $K$ be a real quadratic field. We use a symbolic coding of the action of a fundamental unit on the real $2$-torus associated to $K$ to study the family of subsets $X_t$ of norm distance $\geq t$ from the origin. As an application, we prove that inhomogeneous spectrum of $K$ contains a dense set of elements of $K$, and conclude that all isolated inhomogeneous minima lie in $K$.
