Abstract
Abstract
By employing the recurrence method worked out in Pawelec (2019 arXiv: 1911.12992), we provide effective lower estimates of the proper–dimensional Hausdorff measure of minimal sets of circle homeomorphisms that are not conjugate to any rotation.
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Reference5 articles.
1. Denjoy’s theorem with exponents;Norton;Proc. Am. Math. Soc.,1999
2. Diophantine classes, dimension and Denjoy maps;Kra;Acta Arith.,2002
3. Estimating the Hausdorff measure by recurrence;Pawelec,2019
4. The three gap theorem (Steinhaus conjecture);van Ravenstein;J. Aust. Math. Soc.,1988
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1. Estimating the Hausdorff measure using recurrence;Proceedings of the Edinburgh Mathematical Society;2024-01-12