论文标题
找到Ruelle-Pollicott共鸣
Locating Ruelle-Pollicott resonances
论文作者
论文摘要
我们研究与各种动态系统相关的转移运算符的范围。我们的目的是获取有关离散频谱的精确信息。为此，我们提出了一种统一的方法。我们考虑各种设置，可以在沿建议路径的不同分支下获得新信息。这些设置包括仿射膨胀的马尔可夫图，统一扩展的马尔可夫地图，不均匀扩展或简单地单调图，双曲线差异性。我们认为这种方法可能会被广泛普遍。
We study the spectrum of transfer operators associated to various dynamical systems. Our aim is to obtain precise information on the discrete spectrum. To this end we propose a unitary approach. We consider various settings where new information can be obtained following different branches along the proposed path. These settings include affine expanding Markov maps, uniformly expanding Markov maps, non-uniformly expanding or simply monotone maps, hyperbolic diffeomorphisms. We believe this approach could be greatly generalized.
