拟周期薛定谔上圈李雅普诺夫指数连续的过渡空间
Transition space for the continuity of the Lyapunov exponent of quasiperiodic Schrödinger cocycles
摘要：
利用$s>2$在Gevrey空间$G^{s}$中构造了拟周期薛定谔上循环的李雅普诺夫指数的间断点.相反，李雅普诺夫指数已被证明是连续的Gevrey空间$G^{s}$与$s<2$ \cite{klein,cgyz}。这表明$G^2$是李雅普诺夫指数连续的过渡空间。
英文摘要：
We construct discontinuous point of the Lyapunov exponent of quasiperiodic Schrödinger cocycles in the Gevrey space $G^{s}$ with $s>2$. In contrast, the Lyapunov exponent has been proved to be continuous in the Gevrey space $G^{s}$ with $s<2$ \cite{klein,cgyz}. This shows that $G^2$ is the transition space for the continuity of the Lyapunov exponent.
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