关于逼近谱的封闭性
On the closedness of approximation spectra
摘要：
推广了Cusick关于有理函数逼近实数的经典Lagrange谱的闭性定理，利用负曲流形中尖点邻域中测地流的穿透性质和Maucourant的一个结果，证明了各种逼近谱都是闭的.
英文摘要：
Generalizing Cusick's theorem on the closedness of the classical Lagrange spectrum for the approximation of real numbers by rational ones, we prove that various approximation spectra are closed, using penetration properties of the geodesic flow in cusp neighbourhoods in negatively curved manifolds and a result of Maucourant.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
