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arXiv · 2201.09028

Construction and applications of proximal maps for typical cocycles

Kiho Park
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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.

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Kiho Park. 2022-01-22. Construction and applications of proximal maps for typical cocycles. https://arxiv.org/abs/2201.09028

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