arXiv:2408.09569 Abstract | arXiv Analytics

arXiv:2408.09569 [math.DS]Abstract References Reviews Resources

Forcing Minimal Interval Patterns as Interval Exchange Transformations

Published 2024-08-18Version 1

We prove that any over-twist pattern is conjugate to an interval exchange transformation with bounded number of segments of isometry, restricted on one of its cycles. The bound is independent of the period and over-rotation number of the over-twist pattern and depends only on its modality.

Comments: 13 pages, 5 figures

Categories: math.DS

Subjects: 37E05, 37E10, 37E15, 37E45

Keywords: interval exchange transformation, forcing minimal interval patterns, over-twist pattern, over-rotation number, independent

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