One property of trajectories of Toeplitz flows

Details One property of trajectories of Toeplitz flows One property of trajectories of Toeplitz flows

2002-04-08

arxiv.org/abs/math/0204082v1

Mathematics

Dynamical Systems

15 pages in AMS-LaTeX

Scientific paper

We consider left shift transform S on the space $X=\Sigma^{\mathbb Z}$ of
two-sided sequences over a compact alphabet $\Sigma$. We give an important and
sufficient condition on $x \in X$ which guarantees the restriction of S onto
orbit closure of x to be a Toeplitz flow.

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