2 papers
math.DS2026
Analytic symplectomorphisms displaying minimal ergodicity on the sphere, cylinder and disk
Yann Delaporte
We construct analytic symplectomorphisms on the sphere, the disk and the cylinder which are minimally ergodic (only 3 ergodic measures). To achieve this, we apply and generalize a…
math.DS2025
Analytic pseudo-rotations displaying ergodicity or emergence on the sphere and disk
Yann Delaporte
We construct analytic pseudo-rotations on the sphere and the disk with specific properties. We obtain analytic pseudo-rotations which are ergodic. Then, in opposition to ergodicity…