Mathematics – Dynamical Systems
Scientific paper
2007-11-26
Mathematics
Dynamical Systems
This is comment to our previous paper: Describing the set of words generated by interval exchange transformation. arXiv:0711.2
Scientific paper
Let us call subdivision {\it good}, if 1) set corresponding to each symbol is convex (i.e. interval or (semi)closed interval). 2) If points $A$ and $B$ corresponds to the some color and interval $(A,B)$ has discontinuity point, then $f(A)$ and $f(B)$ has different color. Every subdivision can be further divided into good subdivision, old superword can be obtained from new one by gluing letters. Hence in the section ``Equivalence of the set of uniformly recurrent words generated by piecewise-continuous transformation to the set of words generated by interval exchange transformation'' one can consider only good subdivision.
Belov Ya. A.
Chernyat'ev A. L.
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