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arXiv 2001.001102020-01math.DS

Nonabelian Rauzy-Veech Renormalization

Dmitri Scheglov

备注：: 23 pages. arXiv admin note: substantial text overlap with arXiv:1910.03015

英文摘要：

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.

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