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Displaying similar documents to “Ergodicity and rigidity for certain subgroups of Diff ω ( S 1 )

Separatrices for non solvable dynamics on , 0

Isao Nakai (1994)

Annales de l'institut Fourier

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We define the separatrices for pseudogroups of diffeomorphisms of open neighbourhoods of the origin in the complex plane and prove their existence for non solvable pseudogroups (Theorem 1). This extends a result by Shcherbakov (in [21]) accurately. Our method also applies to prove the topological rigidity theorem for generic pseudogroups attributed to Shcherbakov (dans [20]).