论文标题
非亚伯rauzy-deech重归于
Nonabelian Rauzy-Veech Renormalization
论文作者
论文摘要
对于任何谎言组，构建了间隔交换转换的简单g扩展空间上的重新归一化图。当G是紧凑的谎言组时，将R用于证明IET上典型的G延伸的典型G扩展的薄弱混合和共同体的非等效性。这将U（1）的Avila和Forni的结果扩展到任何紧凑的连接谎言组。 这是对IET的非亚伯扩展理论的第一个结果。
For any Lie group G a renormalization map R on the space of simple G-extensions of Interval Exchange Transformations is constructed. R is applied to prove weak mixing and cohomological non-equivalence of typical G-extensions over IETs, when G is a compact connected Lie group. This extends a result of Avila and Forni for U(1) to any compact connected Lie group. This is a first result on ergodic theory of nonabelian extensions over IETs.
