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MiS Preprint
36/2016
On absolute nonshadowability of transitive maps
Sergey Tikhomirov
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.
