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- W2091246314 abstract "We present a modern proof of some extensions of the well known Hirsch-Pugh-Shub theorem on persistence of normally hyperbolic compact laminations. Our extensions consist of allowing the dynamics to be an endomorphism, the complex analytic case and of allowing the laminations to be non compact. To study the analytic case, we use the formalism of deformations of complex structures. We present various persistent complex laminations which appear in dynamics of several complex variables: Hénon maps, fibered holomorphic maps. In order to prove the persistence theorems,weconstructalaminarstructureonthestableandunstablesetofthenormally hyperbolic laminations." @default.
- W2091246314 created "2016-06-24" @default.
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- W2091246314 date "2010-06-01" @default.
- W2091246314 modified "2023-10-01" @default.
- W2091246314 title "Persistence of laminations" @default.
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- W2091246314 doi "https://doi.org/10.1007/s00574-010-0013-0" @default.
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