arXiv subjects

Yann Delaporte

Publications and source records attributed to Yann Delaporte.

2 recordsLinked to original sources

arXiv2026

Analytic symplectomorphisms displaying minimal ergodicity on the sphere, cylinder and disk

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 principle introduced by Berger, based on the Approximation by Conjugacy method of Anosov-Katok.

math.DS↗

arXiv2025

Analytic pseudo-rotations displaying ergodicity or emergence on the sphere and disk

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, we construct analytic pseudo-rotations which exhibit a maximum order of local emergence. To achieve this, we apply a principle introduced by Berger, based on the Approximation by Conjugacy method of Anosov-Katok.

math.DS↗