论文标题
指数二元近似和符号动力学
Exponential Diophantine approximation and symbolic dynamics
论文作者
论文摘要
我们扩展了关键公式，该公式将乘法性markoff-lagrange频谱和符号动力学交织在一起。证明使用复杂的分析并阐明了问题的策略。此外，新方法适用于各种多项式可能具有多个根。我们得出了该公式的几个后果，这是在Markoff-Lagrange频谱上预期的。
We extend the key formula which intertwines multiplicative Markoff-Lagrange spectrum and symbolic dynamics. The proof uses complex analysis and elucidates the strategy of the problem. Moreover, the new method applies to a wide variety of polynomials possibly having multiple roots. We derive several consequences of this formula, which are expected on the Markoff-Lagrange spectrum.
