论文标题
分析性多频二旋转酶的lyapunov指数的连续性
Continuity of the Lyapunov exponent for analytic multi-frequency quasiperiodic cocycles
论文作者
论文摘要
众所周知，分析1频率的准旋转酶的lyapunov指数在Cocycle中是连续的，当频率是不合理的时，共同在同伴和频率上是共同的。在本文中，我们扩展了波尔加恩的结果，以显示多频式Quasiperiodic $ M（2，\ Mathbb {C}）$ Cocycles的连续性结果。我们的推论包括对具有周期背景电位的多频雅各比共生的应用。
It is known that the Lyapunov exponent of analytic 1-frequency quasiperiodic cocycles is continuous in cocycle and, when the frequency is irrational, jointly in cocycle and frequency. In this paper, we extend a result of Bourgain to show the same continuity result for multifrequency quasiperiodic $M(2,\mathbb{C})$ cocycles. Our corollaries include applications to multifrequency Jacobi cocycles with periodic background potentials.
