On absolute nonshadowability of transitive maps

Sergey Tikhomirov

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arXiv · 1606.07716

On absolute nonshadowability of transitive maps

Sergey Tikhomirov

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Abstract

We study shadowing property for random infinite pseudotrajectories of a continuous map $f$ of a compact metric space. For the cases of transitive maps and transitive attractors we prove a dichotomy: either $f$ satisfies shadowing property or random pseudotrajectory is shadowable with probability 0.

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Sergey Tikhomirov. 2016-06-24. On absolute nonshadowability of transitive maps. https://arxiv.org/abs/1606.07716

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