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has been cited by the following article:

• TITLE: Oscillating Statistics of Transitive Dynamics

  AUTHORS: Eleonora Catsigeras

  KEYWORDS: Measure Preserving Maps, Dynamical Systems, Ergodic Theory, Asymptotic Statistics

  JOURNAL NAME: Advances in Pure Mathematics, Vol.5 No.9, July 6, 2015

  ABSTRACT: We prove that topologically generic orbits of C0 , transitive and non-uniquely ergodic dynamical systems, exhibit an extremely oscillating asymptotical statistics. Precisely, the minimum weak* compact set of invariant probabilities that describes the asymptotical statistics of each orbit of a residual set contains all the ergodic probabilities. If besides f is ergodic with respect to the Lebesgue measure, then also Lebesgue-almost all the orbits exhibit that kind of extremely oscillating statistics.