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oai:recercat.cat:2072/4524942024-06-06T09:44:34Zcom_2072_98col_2072_378195

00925njm 22002777a 4500 dc Saghin, Radu author Xia, Zhihong author Centre de Recerca Matemàtica author 2008 We prove that if f is a partially hyperbolic diffeomorphism on the compact manifold M with one dimensional center bundle, then the logarithm of the spectral radius of the map induced by f on the real homology groups of M is smaller or equal to the topological entropy of f. This is a particular case of the Shub's entropy conjecture, which claims that the same conclusion should be true for any C1 map on any compact manifold. Entropia Difeomorfismes The entropy conjecture for partially hyperbolic diffeomorphisms with 1-D center