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On the Lyapunov numbers

Sergiĭ KolyadaOleksandr Rybak — 2013

Colloquium Mathematicae

We introduce and study the Lyapunov numbers-quantitative measures of the sensitivity of a dynamical system (X,f) given by a compact metric space X and a continuous map f: X → X. In particular, we prove that for a minimal topologically weakly mixing system all Lyapunov numbers are the same.

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