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The average-shadowing property and topological ergodicity
Authors:Rongbao Gu
Affiliation:School of Finance, Nanjing University of Finance and Economics, Nanjing 210046, PR China
Abstract:
In this note we prove that a Lyapunov stable map having the average-shadowing property from a compact metric space onto itself is topologically ergodic, but it is not topologically weakly mixing.
Keywords:37A25   34D20
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