3 papers
math.CV2026
Flexible curves and Hausdorff dimension
Alex Rodriguez
We show that given a log-singular circle homeomorphism and given any , there is a flexible curve of Hausdorff dimension with welding . We also see that there…
math.CV2025
Every circle homeomorphism is the composition of two weldings
Alex Rodriguez
We show that every orientation-preserving circle homeomorphism is a composition of two conformal welding homeomorphisms, which implies that conformal welding homeomorphisms are not…
math.CV2024
Large disks touching three sides of a quadrilateral
Alex Rodriguez
We show that every Jordan quadrilateral contains a disk so that contains points of three different sides of . As a consequenc…