论文标题

指数地图的扰动:非电流动力学

Perturbations of exponential maps: Non-recurrent dynamics

论文作者

Aspenberg, Magnus, Cui, Weiwei

论文摘要

我们研究指数家族中非循环参数的扰动。结果表明,此类参数的集合具有Lebesgue测量零。这特别意味着一组逃脱的参数使lebesgue测量零,这是从1994年开始的QIU结果。

We study perturbations of non-recurrent parameters in the exponential family. It is shown that the set of such parameters has Lebesgue measure zero. This particularly implies that the set of escaping parameters has Lebesgue measure zero, which complements a result of Qiu from 1994. Moreover, we show that non-recurrent parameters can be approximated by hyperbolic ones.

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