On the predictability of discrete dynamical systems III |
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| Authors: | Nilson C Bernardes Jr |
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| Institution: | Departamento de Matemática Aplicada, Instituto de Matemática, Universidade Federal do Rio de Janeiro, Caixa Postal 68530, Rio de Janeiro, RJ 21945-970, Brazil |
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| Abstract: | Given an integer n?2, a metrizable compact topological n-manifold X with boundary and a finite positive Borel measure μ on X, we prove that “most” homeomorphisms  are non-sensitive μ-almost everywhere on X. Moreover, we also prove that for “most” homeomorphisms  the non-wandering set Ωf has μ-measure zero. |
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| Keywords: | Topological manifolds Homeomorphisms Measures Baire category Non-sensitivity Non-wandering points |
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