Jacobi算子的全测度约化与局部化:一个拓扑判据
Full measure reducibility and localization for Jacobi operators: a topological criterion
摘要:
对于一般的解析拟周期Jacobi算子族,我们建立了常旋转约化与对偶局部化之间联系的拓扑判据。作为推论,我们得到了扩展Harper模型在正李雅普诺夫指数区域的算术相变。
英文摘要:
We establish a topological criterion for connection between reducibility to constant rotations and dual localization, for the general family of analytic quasiperiodic Jacobi operators. As a corollary, we obtain the sharp arithmetic phase transition for the extended Harper's model in the positive Lyapunov exponent region.
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