On the predictability of discrete dynamical systems |
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| Authors: | Nilson C. Bernardes Jr. |
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| Affiliation: | Instituto de Matemática, Universidade Federal Fluminense, Rua Mário Santos Braga s/n, 24020-140, Niterói, RJ, Brasil |
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| Abstract: | Let  be a metric space. A function  is said to be non-sensitive at a point  if for every  there is a  such that for any choice of points  ,  ,  , we have that  for every  . Let  be the set of all homeomorphisms from  onto  endowed with the topology of uniform convergence. The main goal of the present paper is to prove that for certain spaces  , ``most' functions in  are non-sensitive at ``most' points of  . |
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| Keywords: | Homeomorphisms predictability recurrence Baire category Lebesgue measure |
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