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Estimating Hausdorff measure for Denjoy maps (open access)

Estimating Hausdorff measure for Denjoy maps

Article describes how the authors plant to deal with orientation preserving homeomorphisms and, more specifically, diffeomorphisms of the unit circle S1. By employing the recurrence method worked out in Pawelec the authors provide effective lower estimates of the proper-dimensional Hausdorff measure of minimal sets of circle homeomorphisms that are not conjugate to any rotation.
Date: October 20, 2023
Creator: Pawelec, Łukasz & Urbański, Mariusz
System: The UNT Digital Library