论文标题

Weyl Chamber流的符号动力和转移操作员:一类示例

Symbolic dynamics and transfer operators for Weyl chamber flows: a class of examples

论文作者

Pohl, Anke

论文摘要

我们为较高等级的Riemannian局部对称空间的样本类别的Weyl Chamber流提供了特殊的横截面,即Schottky表面的直接产物空间。我们进一步介绍了与这些横截面相关的弗斯滕伯格边界上离散动力系统的多参数转移操作员家族。

We provide special cross sections for the Weyl chamber flow on a sample class of Riemannian locally symmetric spaces of higher rank, namely the direct product spaces of Schottky surfaces. We further present multi-parameter transfer operator families for the discrete dynamical systems on Furstenberg boundary that are related to these cross sections.

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