PreprintarXiv licencearXiv
Modulus of Continuity for Finite Energy Homeomorphisms of the Circle
Abstract
Given ho: π β π, an orientation-preserving homeomorphism of the unit circle, we seek to establish very weak conditions so as to derive a modulus of continuity for ho and its inverse hoβ1, then use these to derive various compactness properties for families of circle homeomorphisms and solutions to Beltrami equations.
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BibTeX
@misc{florincescu2026modulus,
title = {{Modulus of Continuity for Finite Energy Homeomorphisms of the Circle}},
author = {Mihai Florincescu and Gaven Martin and Cong Yao},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.00904},
eprint = {2611.00904},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.00904},
}
RIS
TY - UNPB
TI - Modulus of Continuity for Finite Energy Homeomorphisms of the Circle
AU - Mihai Florincescu
AU - Gaven Martin
AU - Cong Yao
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.00904
UR - https://arxiv.org/abs/2611.00904
AB - Given h_o: π β π, an orientation-preserving homeomorphism of the unit circle, we seek to establish very weak conditions so as to derive a modulus of continuity for h_o and its inverse h_o^β1, then use these to derive various compactness properties for families of circle homeomorphisms and solutions to Beltrami equations.
ER -