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Oleksandr Rybak

Publications and source records attributed to Oleksandr Rybak.

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On the Lyapunov numbers

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 $f:X \to X$. In particular, we prove that for a minimal topologically weakly mixing system all Lyapunov numbers are the same.

math.DS