标题： 关于由Hénon型映射生成的高阶自由群的一些例子的全纯和随机动力学 显示英文标题

标题： On the Holomorphic and Random Dynamics for some examples of higher rank Free Groups generated by Hénon type maps

摘要： 我们研究由两个Hénon型映射生成的某些秩2自由群的全纯和随机动力学。 对于这些简单构造的示例，我们证明了Fatou集非空，且平稳测度支持在一个紧集上。 经过一些进一步的小心处理，这使我们能够构造出没有平稳测度的示例。 这些示例说明了在研究非紧流形上的全纯群作用时可能出现的现象。 显示英文摘要

摘要： We study the Holomorphic and Random Dynamics of some rank 2 free groups generated by two Hénon type maps. For these simply constructed examples we prove that the Fatou set is non-empty and that the stationary measures are supported on a compact set. With some further care this allows us to construct examples having no stationary measures. These examples illustrate the types of phenomena that may arise when studying holomorphic group actions on non-compact manifolds.