We quantify the coupling asymptotics for the Lyapunov exponent of the quasi-periodic Schrdinger operator with two classes of finitely smooth potentials, which are well-studied in [23, 26]. We remark that the rate of convergence in the asymptotic formula is independent of the explicit form of the potentials.

中文翻译：

---

有限光滑准周期 Schrdinger 算子的 Lyapunov 指数的大耦合渐近

我们用两类有限平滑势对准周期 Schrdinger 算子的 Lyapunov 指数的耦合渐近进行了量化，这在 [23, 26] 中得到了很好的研究。我们注意到渐近公式中的收敛速度与势的显式形式无关。