Minimality and ergodicity of a generic analytic foliation of ℂ 2

Minimality and ergodicity of a generic analytic foliation of ℂ 2

It is well known that a generic polynomial foliation of ℂ 2 is minimal and ergodic. In this paper we prove an analogous result for analytic foliations.

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Veröffentlicht in:Ergodic theory and dynamical systems 2008-10, Vol.28 (5), p.1533-1544
Hauptverfasser: GOLENISHCHEVA-KUTUZOVA, T., KLEPTSYN, V.
Format: Artikel
Sprache:eng
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Zusammenfassung:It is well known that a generic polynomial foliation of ℂ 2 is minimal and ergodic. In this paper we prove an analogous result for analytic foliations.
ISSN:0143-3857
1469-4417
DOI:10.1017/S0143385707000934