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On fixed points of C 1 extensions of expanding maps in the unit disc

Roberto Tauraso (1994)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Using a result due to M. Shub, a theorem about the existence of fixed points inside the unit disc for C 1 extensions of expanding maps defined on the boundary is established. An application to a special class of rational maps on the Riemann sphere and some considerations on ergodic properties of these maps are also made.

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