2 papers
math.DS2022
A finite dimensional proof of a result of Hutchings about irrational pseudo-rotations
Patrice Le Calvez
We prove that the Calabi invariant of a pseudo-rotation of the unit disk, that coincides with a rotation on the unit circle, is equal to its rotation number. This result has…
math.DS2017
A triple boundary lemma for surface homeomorphisms
Andres Koropecki, Patrice Le Calvez, Fabio Armando Tal
Given an orientation-preserving and area-preserving homeomorphism of the sphere, we prove that every point which is in the common boundary of three pairwise disjoint invariant…