保守同构的一般动力学性质

Pierre-Antoine Guihéneuf
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引用次数: 15

摘要

这篇回忆录是关于紧流形的保守同胚的一般动力学性质。给出了证明泛型结果的几个重要技术:我们强调了同胚的周期逼近和同胚空间在双可测自同构空间中的嵌入所起的重要作用。
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Propriétés dynamiques génériques des homéomorphismes conservatifs
This memoir is concerned with the generic dynamical properties of conservative homeomorphisms of compact manifolds. Several important techniques allowing to prove genericity results are presented: we emphasize the important role played by periodic approximations of homeomorphisms, and by the embedding of the space of homeomorphisms in the space of bi-measurable automorphisms.
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