Estimating Hausdorff measure for Denjoy maps

Estimating Hausdorff measure for Denjoy maps

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.

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Veröffentlicht in:Nonlinearity 2023-11, Vol.36 (11), p.6224-6238
Hauptverfasser: Pawelec, Łukasz, Urbański, Mariusz
Format: Artikel
Sprache:eng
Schlagworte:
37C45
37E10
Denjoy example
Hausdorff measure
Recurrence
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Beschreibung
Zusammenfassung: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.
ISSN:0951-7715
1361-6544
DOI:10.1088/1361-6544/ad0194