Geodesic
On fixed points of \( C^{1} \) extensions of expanding maps in the unit disc
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 5 (1994) no. 4, pp. 303-308

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

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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     author = {Tauraso, Roberto},
     title = {On fixed points of \( {C^{1}} \) extensions of expanding maps in the unit disc},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {303--308},
     publisher = {mathdoc},
     volume = {Ser. 9, 5},
     number = {4},
     year = {1994},
     zbl = {0827.30022},
     mrnumber = {MR1320582},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_1994_9_5_4_a3/}
}
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Tauraso, Roberto. On fixed points of \( C^{1} \) extensions of expanding maps in the unit disc. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 5 (1994) no. 4, pp. 303-308. http://geodesic.mathdoc.fr/item/RLIN_1994_9_5_4_a3/