Construction and applications of proximal maps for typical cocycles
Dynamical Systems
2022-01-25 v1
Abstract
For typical cocycles over subshifts of finite type, we show that for any given orbit segment, we can construct a periodic orbit such that it shadows the given orbit segment and that the product of the cocycle along its orbit is a proximal linear map. Using this result, we show that suitable assumptions on the periodic orbits have consequences over the entire subshift.
Cite
@article{arxiv.2201.09028,
title = {Construction and applications of proximal maps for typical cocycles},
author = {Kiho Park},
journal= {arXiv preprint arXiv:2201.09028},
year = {2022}
}
Comments
Comments welcome