On absolute nonshadowability of transitive maps
Dynamical Systems
2016-06-27 v1
Abstract
We study shadowing property for random infinite pseudotrajectories of a continuous map of a compact metric space. For the cases of transitive maps and transitive attractors we prove a dichotomy: either satisfies shadowing property or random pseudotrajectory is shadowable with probability 0.
Cite
@article{arxiv.1606.07716,
title = {On absolute nonshadowability of transitive maps},
author = {Sergey Tikhomirov},
journal= {arXiv preprint arXiv:1606.07716},
year = {2016}
}